Grant Sanderson: Math, Manim, Neural Networks & Teaching with 3Blue1Brown
技术与编程音乐与艺术AI 与机器学习数学心理与人性
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🔑 关键词
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💬 精彩语录
"but it's outside the scope of this video essentially, but I'll leave it to you as homework essentially"
但这本质上超出了本视频的范围,但本质上我会把它留给你作为作业
— Grant Sanderson (18:54.280)
"Um, I think step one is like, make sure that what you're animating should be done so programmatically"
嗯,我认为第一步是,确保您要制作的动画应该以编程方式完成
— Grant Sanderson (1:49:09.400)
"Again, try the Ultimate Shave Starter Set today for just $5 plus free shipping at DollarShaveClub.com"
再次,立即在 DollarShaveClub.com 尝试终极剃须入门套装,仅需 5 美元,并免运费
— Grant Sanderson (03:13.400)
"makes it really easy to set up a filming situation with cameras that we have here, these microphones."
使用我们这里的摄像机和这些麦克风可以非常轻松地设置拍摄场景。
— Grant Sanderson (1:17:33.600)
"like, how, how is it that you're able to efficiently get there, which is maybe what you're describing"
就像,你如何能够有效地到达那里,这可能就是你所描述的
— Grant Sanderson (1:35:24.840)
🎙️ 完整对话(2160 条)
Lex Fridman (00:00.000)
The following is a conversation with Grant Sanderson, his second time on the podcast.
以下是与格兰特·桑德森的对话,这是他第二次参加播客。
Lex Fridman (00:05.080)
He's known to millions of people as the mind behind 3Blue1Brown, a YouTube channel where
数百万人都知道他是 YouTube 频道 3Blue1Brown 的幕后主脑。
Lex Fridman (00:10.680)
he educates and inspires the world with the beauty and power of mathematics.
他用数学的美丽和力量来教育和启发世界。
Lex Fridman (00:15.940)
Quick summary of the sponsors, Dollar Shave Club, DoorDash, and CashApp.
赞助商 Dollar Shave Club、DoorDash 和 CashApp 的快速摘要。
Lex Fridman (00:20.140)
Click the sponsor links in the description to get a discount and to support this podcast,
单击描述中的赞助商链接即可获得折扣并支持此播客,
Grant Sanderson (00:24.560)
especially for the two new sponsors, Dollar Shave Club and DoorDash.
尤其是对于两个新赞助商 Dollar Shave Club 和 DoorDash 来说。
Grant Sanderson (00:29.120)
Let me say, as a side note, I think that this pandemic challenged millions of educators
我想说的是,作为旁注,我认为这种流行病对数百万教育工作者提出了挑战
Grant Sanderson (00:33.860)
to rethink how they teach, to rethink the nature of education.
重新思考他们的教学方式,重新思考教育的本质。
Grant Sanderson (00:38.640)
As people know, Grant is a master elucidator of mathematical concepts that may otherwise
众所周知,格兰特是一位数学概念的大师阐释者,否则这些数学概念可能会被阐明。
Grant Sanderson (00:43.820)
seem difficult or out of reach for students and curious minds, but he's also an inspiration
对于学生和好奇的人来说似乎很难或遥不可及,但他也是一个灵感
Lex Fridman (00:49.160)
to teachers, researchers, and people who just enjoy sharing knowledge.
面向教师、研究人员和喜欢分享知识的人们。
Grant Sanderson (00:53.680)
Like me, for what it's worth.
就像我一样,为了它的价值。
Grant Sanderson (00:56.300)
It's one thing to give a semester's worth of multi hour lectures, it's another to extract
进行一个学期的多小时讲座是一回事,提取知识又是另一回事
Grant Sanderson (01:00.520)
from those lectures the most important, interesting, beautiful, and difficult concepts and present
从这些讲座中最重要的、有趣的、美丽的和困难的概念和呈现
Lex Fridman (01:06.000)
them in a way that makes everything fall into place.
他们以一种让一切都井然有序的方式。
Grant Sanderson (01:09.040)
That is the challenge that is worth taking on.
这是值得接受的挑战。
Grant Sanderson (01:11.480)
My dream is to see more and more of my colleagues at MIT and world experts across the world
我的梦想是见到越来越多的麻省理工学院的同事和世界各地的专家
Grant Sanderson (01:16.640)
summon their inner 3Blue1Brown and create the canonical explainer videos on a topic
召唤他们内心的 3Blue1Brown 并制作有关某个主题的规范解释视频
Lex Fridman (01:22.360)
that they know more than almost anyone else in the world.
他们比世界上几乎任何人都知道得更多。
Grant Sanderson (01:25.960)
Amidst the political division, the economic pain, the psychological and medical toll of
在政治分歧、经济痛苦、心理和医疗损失中
Grant Sanderson (01:30.600)
the virus, masterfully crafted educational content feels like one of the beacons of hope
Grant Sanderson (01:36.560)
that we can hold onto.
Grant Sanderson (01:37.800)
If you enjoy this thing, subscribe on YouTube, review it with 5 Stars and Apple Podcasts,
Grant Sanderson (01:43.440)
follow on Spotify, support on Patreon, or connect with me on Twitter at Lex Friedman.
Grant Sanderson (01:48.600)
Of course, after you go immediately, which you already probably have done a long time
Grant Sanderson (01:52.880)
ago, and subscribe to 3Blue1Brown's YouTube channel, you will not regret it.
Lex Fridman (01:59.120)
As usual, I'll do a few minutes of as now and no ads in the middle.
Grant Sanderson (02:02.000)
I try to make these interesting, but I give you timestamps so you can skip.
Lex Fridman (02:06.980)
But still, please do check out the sponsors by clicking the links in the description.
Grant Sanderson (02:10.600)
Especially the two new ones, DoorDash and Dollar Shave Club, they're evaluating us,
Grant Sanderson (02:15.880)
looking at how many people go to their site and get their stuff in order to determine
Grant Sanderson (02:19.320)
if they want to support us for the long term, so you know what to do.
Lex Fridman (02:22.960)
It's the best way to support this podcast, as always.
Grant Sanderson (02:26.680)
This show is sponsored by Dollar Shave Club.
Grant Sanderson (02:28.960)
Try them out with a one time offer for only $5 and free shipping at DollarShaveClub.com
Grant Sanderson (02:34.560)
slash Lex.
Grant Sanderson (02:36.600)
The starter kit comes with a six blade razor, refills, and all kinds of other stuff that
Grant Sanderson (02:41.200)
makes shaving feel great.
Grant Sanderson (02:43.160)
I've been a member of Dollar Shave Club for over five years now, and actually signed up
Grant Sanderson (02:47.040)
when I first heard about them on the Joe Rogan podcast, and now we have come full circle.
Grant Sanderson (02:53.080)
I feel like I've made it, now that I can do a read for them just like Joe did all those
Grant Sanderson (02:57.720)
years ago.
Grant Sanderson (02:58.720)
For the most part, I've just used the razor and the refills, but they encouraged me to
Grant Sanderson (03:02.360)
try the shave butter, which I've never used before, so I did, and I love it.
Grant Sanderson (03:07.880)
Not sure how the chemistry of it works out, but it's translucent somehow, which is a
Grant Sanderson (03:11.920)
cool new experience.
Grant Sanderson (03:13.400)
Again, try the Ultimate Shave Starter Set today for just $5 plus free shipping at DollarShaveClub.com
Grant Sanderson (03:19.520)
slash Lex.
Lex Fridman (03:21.440)
This show is also sponsored by DoorDash.
Grant Sanderson (03:24.480)
Get $5 off and zero delivery fees on your first order of $15 or more when you download
Lex Fridman (03:29.520)
the DoorDash app and enter code LEX.
Grant Sanderson (03:32.440)
I have so many memories of working late nights for a deadline with a team of engineers and
Grant Sanderson (03:37.640)
eventually taking a break to argue about which DoorDash restaurant to order from, and when
Grant Sanderson (03:42.160)
the food came, those moments of bonding, of exchanging ideas, of pausing to shift attention
Lex Fridman (03:48.280)
from the programs to the humans were special.
Grant Sanderson (03:53.180)
These days, for a bit of time, I'm on my own, sadly, so I miss that camaraderie.
Lex Fridman (03:58.360)
But actually DoorDash is still there for me.
Grant Sanderson (04:00.640)
There's a million options that fit into my keto diet ways.
Lex Fridman (04:04.320)
Also it's a great way to support restaurants in these challenging times.
Grant Sanderson (04:07.800)
Once again, download the DoorDash app and enter code LEX to get $5 off and zero delivery
Lex Fridman (04:13.020)
fees on your first order of $15 or more.
Grant Sanderson (04:16.520)
Finally, this show is presented by Cash App, the number one finance app in the App Store.
Lex Fridman (04:21.760)
When you get it, use code LEX PODCAST.
Grant Sanderson (04:24.760)
Cash App lets you send money to friends, buy bitcoin, and invest in the stock market with
Lex Fridman (04:28.940)
as little as $1.
Grant Sanderson (04:31.040)
It's one of the best design interfaces of an app that I've ever used.
Lex Fridman (04:34.760)
To me, good design is when everything is easy and natural.
Grant Sanderson (04:38.280)
Bad design is when the app gets in the way either because it's buggy or because it tries
Lex Fridman (04:42.640)
too hard to be helpful.
Grant Sanderson (04:44.880)
I'm looking at you, Clippy.
Grant Sanderson (04:46.360)
Anyway, there's a big part of my brain and heart that love to design things and also
Grant Sanderson (04:50.400)
to appreciate great design by others.
Lex Fridman (04:52.800)
So again, if you get Cash App from the App Store or Google Play and use code LEX PODCAST,
Grant Sanderson (04:57.920)
you get $10 and Cash App will also donate $10 to FIRST, an organization that is helping
Lex Fridman (05:03.200)
to advance robotics and STEM education for young people around the world.
Lex Fridman (05:08.560)
And now here's my conversation with Grant Sanderson.
Lex Fridman (05:13.880)
You've spoken about Richard Feynman as someone you admire.
Grant Sanderson (05:17.360)
I think last time we spoke, we ran out of time.
Lex Fridman (05:21.420)
So I wanted to talk to you about him.
Lex Fridman (05:24.760)
Who is Richard Feynman to you in your eyes?
Lex Fridman (05:27.280)
What impact did he have on you?
Grant Sanderson (05:29.400)
I mean, I think a ton of people like Feynman.
Lex Fridman (05:31.800)
It's a little bit cliche to say that you like Feynman, right?
Grant Sanderson (05:34.280)
That's almost like when you don't know what to say about sports and you just point to
Lex Fridman (05:38.720)
the Super Bowl or something or something you enjoy watching.
Lex Fridman (05:41.320)
But I do actually think there's a layer to Feynman that sits behind the iconography.
Grant Sanderson (05:45.600)
One thing that just really struck me was this letter that he wrote to his wife two years
Grant Sanderson (05:50.540)
after she died.
Lex Fridman (05:51.780)
So during the Manhattan Project, she had polio.
Grant Sanderson (05:54.320)
Tragically she died.
Lex Fridman (05:55.500)
They were just young, madly in love.
Lex Fridman (05:58.080)
And the icon of Feynman is almost this mildly sexist, womanizing philanderer, at least on
Lex Fridman (06:06.000)
the personal side.
Lex Fridman (06:08.160)
But you read this letter, and I can try to pull it up for you if I want.
Lex Fridman (06:10.840)
And it's just this absolutely heartfelt letter to his wife saying how much he loves her even
Grant Sanderson (06:15.840)
though she's dead and what she means to him, how no woman can ever measure up to her.
Lex Fridman (06:21.760)
And it shows you that the Feynman that we've all seen in Surely You're Joking is different
Grant Sanderson (06:26.820)
from the Feynman in reality.
Lex Fridman (06:28.860)
And I think the same kind of goes in his science, where he sometimes has this output of being
Grant Sanderson (06:35.340)
this aw shucks character, like everyone else is coming in with these fancyfalutin formulas,
Lex Fridman (06:39.960)
but I'm just going to try to whittle it down to its essentials, which is so appealing because
Grant Sanderson (06:43.240)
we love to see that kind of thing.
Lex Fridman (06:45.120)
But when you get into it, what he was doing was actually quite deep, very much mathematical.
Grant Sanderson (06:52.060)
That should go without saying, but I remember reading a book about Feynman in a cafe once,
Lex Fridman (06:55.160)
and this woman looked at me and saw that it was about Feynman.
Grant Sanderson (06:58.720)
She was like, oh, I love him.
Lex Fridman (06:59.720)
I read Surely You're Joking.
Lex Fridman (07:01.220)
And she started explaining to me how he was never really a math person.
Lex Fridman (07:04.880)
And I don't understand how that can possibly be a public perception about any physicist,
Lex Fridman (07:10.040)
but for whatever reason, that worked into his art that he shooed off math in place of
Lex Fridman (07:14.660)
true science.
Grant Sanderson (07:15.660)
The reality of it is he was deeply in love with math and was much more going in that
Grant Sanderson (07:18.880)
direction and had a clicking point into seeing that physics was a way to realize that and
Grant Sanderson (07:22.880)
all the creativity that he could output in that direction was instead poured towards
Grant Sanderson (07:27.560)
things like fundamental, not even fundamental theories, just emergent phenomena and everything
Grant Sanderson (07:31.680)
like that.
Lex Fridman (07:32.760)
So to answer your actual question, like what, what, what I like about, uh, his way of going
Grant Sanderson (07:37.880)
at things is this constant desire to reinvent it for himself.
Grant Sanderson (07:42.320)
Like when he would consume papers, the way he'd describe it, he's, he would start to
Grant Sanderson (07:45.320)
see what problem he was trying to solve and then just try to solve it himself to get a
Lex Fridman (07:48.340)
sense of personal ownership.
Lex Fridman (07:50.040)
And then from there, see what others had done.
Lex Fridman (07:52.560)
Is that how you see problems yourself?
Grant Sanderson (07:54.120)
Like that's actually an interesting point when you first are inspired by a certain idea
Lex Fridman (08:00.360)
that you maybe want to teach or visualize or just explore on your own.
Grant Sanderson (08:05.040)
I'm sure you're captured by some possibility and magic of it.
Lex Fridman (08:08.420)
Do you read the work of others?
Lex Fridman (08:10.600)
Like do you go through the proofs or do you try to rediscover everything yourself?
Lex Fridman (08:15.000)
So I think the things that I've learned best and have the deepest ownership of are the
Grant Sanderson (08:19.120)
ones that have some element of rediscovery.
Lex Fridman (08:21.200)
The problem is that really slows you down.
Lex Fridman (08:23.260)
And this is for my, for my part, it's actually a big fault.
Lex Fridman (08:25.400)
Like this is part of why I'm, I'm not an active researcher.
Grant Sanderson (08:28.240)
I'm not like at the depth of the field.
Lex Fridman (08:29.880)
A lot of other people are the stuff that I do learn.
Grant Sanderson (08:32.160)
I try to learn it really well.
Lex Fridman (08:33.880)
Um, but other times you do need to get through it at a certain pace.
Grant Sanderson (08:37.480)
You do need to get to a point of a problem you're trying to solve.
Lex Fridman (08:39.680)
So obviously you need to be well equipped to read things, uh, without that reinvention
Grant Sanderson (08:43.940)
component and see how others have done it.
Lex Fridman (08:45.960)
But I think if you choose a few core building blocks along the way and you say, I'm really
Grant Sanderson (08:49.080)
going to try to approach this, um, before I see how this person went at it, I'm really
Lex Fridman (08:54.920)
going to try to approach it for myself.
Grant Sanderson (08:56.880)
No matter what you gain, all sorts of inarticulatable intuitions about that topic, which aren't
Lex Fridman (09:02.020)
going to be there.
Grant Sanderson (09:03.020)
If you simply go through the proof, for example, you're going to be, um, trying to come up
Lex Fridman (09:06.600)
with counter examples.
Grant Sanderson (09:07.880)
You're going to try to come up with, um, intuitive examples, all sorts of things where you're
Lex Fridman (09:11.920)
populating your brain with data.
Lex Fridman (09:13.560)
And the ones that you come up with are likely to be different than the one that the text
Lex Fridman (09:16.120)
comes up with and that like lends at a different angle.
Lex Fridman (09:19.240)
So that aspect also slowed Feynman down in a lot of respects.
Grant Sanderson (09:22.640)
I think there was a period when like the rest of physics was running away from him.
Grant Sanderson (09:26.480)
Um, but in so far as got, it got him to where he was, uh, I, I kind of resonate with that.
Grant Sanderson (09:32.240)
I just, I would, I would be nowhere near it cause I not like him at all, but it's like
Grant Sanderson (09:37.240)
a, uh, state to aspire to.
Grant Sanderson (09:41.360)
You know, just to link in a small point you made that you're not a quote unquote active
Grant Sanderson (09:46.800)
researcher, do you, you're swimming often in reasonably good depth about a lot of topics.
Lex Fridman (09:55.400)
Do you sometimes want to like dive deep at a certain moment and say, like, cause you
Grant Sanderson (10:01.280)
probably built up a hell of an amazing intuition about what is and isn't true within these
Lex Fridman (10:07.080)
worlds.
Lex Fridman (10:08.080)
Do you ever want to just dive in and see if you can discover something new?
Lex Fridman (10:14.000)
Yeah.
Grant Sanderson (10:15.000)
I, I think one of my biggest regrets from undergrad is not having built better relationships
Lex Fridman (10:20.440)
with the professors I had there.
Lex Fridman (10:21.800)
And I think a big part of success and research is that element of like mentorship and like
Grant Sanderson (10:26.400)
people giving you the kind of scaffolded problems to carry along for my own like goals right
Grant Sanderson (10:30.760)
now.
Grant Sanderson (10:31.760)
I feel like, um, I'm pretty good at exposing math to others and like want to continue doing
Grant Sanderson (10:37.320)
that for my personal learning.
Lex Fridman (10:39.800)
I, are you familiar with like the hedgehog Fox dynamic?
Grant Sanderson (10:44.720)
I think this was, um, either the ancient Greeks came up with it or it was pretended to be
Grant Sanderson (10:50.280)
something drawn from the ancient Greeks that I don't know who to point it to, but the probably
Grant Sanderson (10:53.560)
Mark Twain.
Grant Sanderson (10:54.560)
It is that you've got two types of people or especially two types of researchers.
Grant Sanderson (10:59.400)
There's the Fox that knows many different things and then the hedgehog that knows one
Lex Fridman (11:03.140)
thing very deeply.
Lex Fridman (11:04.700)
So like von Neumann would have been the Fox.
Grant Sanderson (11:06.840)
Obviously someone who knows many different things, just very foundational, a lot of different
Grant Sanderson (11:10.040)
fields.
Grant Sanderson (11:11.040)
Um, Einstein would have been more of a hedge thinking really deeply about one particular
Grant Sanderson (11:14.240)
thing and both are very necessary for making progress.
Grant Sanderson (11:17.520)
Um, so between those two, I would definitely see myself as like the Fox where, uh, I'll
Grant Sanderson (11:22.600)
try to get my pause in like a whole bunch of different things.
Lex Fridman (11:24.720)
And at the moment I just think I don't know enough of anything to make like a significant
Grant Sanderson (11:28.660)
contribution to any of them.
Lex Fridman (11:30.080)
But I do see value in, um, like having a decently deep understanding of a wide variety of things.
Grant Sanderson (11:36.760)
Like most people who, uh, know computer science really deeply don't necessarily know physics
Grant Sanderson (11:42.200)
very deeply or, uh, many of the aspects, like different fields in math, even let's say you
Grant Sanderson (11:47.120)
have like an analytic number theory versus an algebraic number theory.
Lex Fridman (11:49.760)
Like these two things end up being related to very different fields.
Grant Sanderson (11:52.440)
Like some of them more complex analysis, some of them more like algebraic geometry.
Lex Fridman (11:56.240)
And then when you just go out so far as to take those adjacent fields, place one, you
Grant Sanderson (12:00.000)
know, PhD student into a seminar of another ones, they don't understand what the other
Lex Fridman (12:03.040)
one's saying at all.
Grant Sanderson (12:04.040)
Like you take the complex analysis specialist inside the algebraic geometry seminar, they're
Lex Fridman (12:08.480)
as lost as you or I would be.
Lex Fridman (12:10.320)
But I think, uh, going around and like trying to have some sense of what this big picture
Lex Fridman (12:14.320)
is certainly has personal value for me.
Grant Sanderson (12:16.560)
I don't know if I would ever make like new contributions in those fields, but I do think
Grant Sanderson (12:20.880)
I could make new like expositional contributions where there's kind of a notion of, uh, things
Grant Sanderson (12:26.600)
that are known, but like haven't been explained very well.
Grant Sanderson (12:29.400)
Well, first of all, I think most people would agree your videos, your teaching the way you
Grant Sanderson (12:34.600)
see the world is fundamentally often new, like you're creating something new and it
Grant Sanderson (12:42.040)
almost feels like research, even just like the visualizations, uh, the multidimensional
Grant Sanderson (12:47.280)
visualization we'll talk about.
Grant Sanderson (12:48.480)
I mean, you're revealing something very interesting that, uh, yeah, just feels like research feels
Grant Sanderson (12:54.840)
like science feels like the cutting edge of the very thing of which like new ideas and
Lex Fridman (13:01.440)
new discoveries are made of.
Grant Sanderson (13:03.160)
I do think you're being a little bit more generous than is necessarily.
Lex Fridman (13:06.800)
And I promise that's not even false humility because I sometimes think when I research
Grant Sanderson (13:10.960)
a video, I'll learn like 10 times as much as I need for the video itself and it ends
Lex Fridman (13:14.320)
up feeling kind of elementary.
Grant Sanderson (13:15.960)
Um, so I have a sense of just how far away like the stuff that I cover is from the actual
Lex Fridman (13:20.960)
depth.
Grant Sanderson (13:22.440)
I think that's natural, but I think that could also be a mathematics thing.
Grant Sanderson (13:26.320)
I feel like in the machine learning world, you like two weeks in, you feel like you've
Grant Sanderson (13:30.680)
basically mastered in mathematics.
Lex Fridman (13:34.040)
It's like, well, everything is either trivial or impossible.
Lex Fridman (13:37.520)
And it's like a shockingly thin line between the two where you can find something that's
Lex Fridman (13:41.200)
totally impenetrable.
Lex Fridman (13:42.200)
And then after you get a feel for it, it's like, Oh yeah, that whole, that whole subject
Lex Fridman (13:45.880)
is actually trivial in some way.
Lex Fridman (13:48.180)
So maybe that's what goes on.
Grant Sanderson (13:50.360)
Every researcher is just on the other end of that hump and it feels like it's so far
Grant Sanderson (13:53.240)
away, but one step actually gets them there.
Lex Fridman (13:56.120)
What do you think about, uh, sort of Feynman's teaching style or another perspective of use
Lex Fridman (14:02.720)
of visualization?
Grant Sanderson (14:05.720)
Well his teaching style is interesting because people have described like the Feynman effect
Grant Sanderson (14:09.640)
where while you're watching his lectures or while he reading his lectures, everything
Lex Fridman (14:13.520)
makes such perfect sense.
Lex Fridman (14:15.420)
So as an entertainment session, it's wonderful because it gives you this, um, this intellectual
Grant Sanderson (14:21.920)
satisfaction that you don't get from anywhere else that you like finally understand it.
Lex Fridman (14:26.440)
But the Feynman effect is that you can't really recall what it is that gave you that insight,
Lex Fridman (14:31.080)
you know, even a week later.
Lex Fridman (14:32.680)
And this is, um, this is true of a lot of books and a lot of lectures where the retention
Lex Fridman (14:36.640)
is never quite what we hope it is.
Grant Sanderson (14:38.760)
Um, so there is a risk that, uh, the stuff that I do also fits that same bill where at
Grant Sanderson (14:46.680)
best it's giving this kind of intellectual candy on giving a glimpse of feeling like
Grant Sanderson (14:50.320)
you understand something, but unless you do something active, like reinventing it yourself,
Grant Sanderson (14:55.040)
like doing problems, um, to solidify it, um, even things like space repetition memory to
Grant Sanderson (15:00.280)
just make sure that you have like the building blocks of what do all the terms mean.
Lex Fridman (15:04.420)
Unless you're doing something like that, it's not actually going to stick.
Lex Fridman (15:07.080)
So the very same thing that's so admirable about Feynman's lectures, which is how damn
Grant Sanderson (15:12.720)
satisfying they are to consume might actually also reveal a little bit of the flaw that
Grant Sanderson (15:18.680)
we should as educators all look out for, which is that that does not correlate with long
Lex Fridman (15:22.840)
term learning.
Grant Sanderson (15:23.840)
We'll talk about it a little bit.
Lex Fridman (15:25.600)
I think you've done some interactive stuff.
Grant Sanderson (15:28.280)
I mean, even in your videos, the awesome thing that Feynman couldn't do at the time is you
Lex Fridman (15:34.960)
could, since it's programmed, you can like tinker, like play with stuff.
Grant Sanderson (15:40.840)
You could take this value and change it.
Grant Sanderson (15:42.760)
You can like heroes, take the value of this variable and change it to build up an intuition,
Grant Sanderson (15:47.720)
to move along the surface or to, to change the shape of something.
Lex Fridman (15:51.960)
I think that's almost an equivalent of you doing it yourself.
Grant Sanderson (15:57.120)
It's not quite there, but you as a viewer, um, yeah, do you think there's some value
Lex Fridman (16:02.040)
in that interactive element?
Grant Sanderson (16:04.000)
Yeah, well, so what's interesting is you're saying that, and the videos are non interactive
Lex Fridman (16:08.280)
in the sense that there's a play button and a pause button.
Grant Sanderson (16:10.520)
Um, and you could ask like, Hey, while you're programming these things, why don't you program
Lex Fridman (16:13.940)
it into an interactable version?
Grant Sanderson (16:15.880)
You know, make it a Jupiter notebook that people can play with, which I should do.
Lex Fridman (16:19.320)
And that like would be better.
Grant Sanderson (16:20.760)
I think the thing about interactives though is most people consuming them, um, just sort
Lex Fridman (16:25.440)
of consume what the author had in mind.
Grant Sanderson (16:27.520)
Uh, and that's kind of what they want.
Lex Fridman (16:29.680)
Like I have a ton of friends who make interactive explanations.
Lex Fridman (16:33.360)
And when you look into the analytics of how people use them, there's a small sliver that
Lex Fridman (16:37.800)
genuinely use it as a playground to have experiments.
Lex Fridman (16:40.360)
And maybe that small sliver is actually who you're targeting and the rest don't matter.
Grant Sanderson (16:43.520)
Um, but most people consume it just as a piece of, um, like well constructed literature that
Grant Sanderson (16:48.580)
maybe you tweak with the example a little bit to see what it's getting at.
Lex Fridman (16:51.960)
But in that way, I do think like a video can get most of the benefits of the interactive,
Grant Sanderson (16:56.760)
like the interactive app, as long as you make the interactive for yourself and you decide
Lex Fridman (17:01.160)
what the best narrative to spin is.
Grant Sanderson (17:03.480)
Um, as a more concrete example, like my process with, I made this video about, um, SIR models
Grant Sanderson (17:08.600)
for epidemics and it's like this agent based bottling thing where you tweak some things
Grant Sanderson (17:13.660)
about how the epidemic spreads and you want to see how that affects its evolution.
Grant Sanderson (17:17.360)
Um, my, my, uh, format for making that was very different than others where rather than
Grant Sanderson (17:21.720)
scripting it ahead of time, I just made the playground and then I played a bunch, uh,
Lex Fridman (17:26.800)
and then I saw what stories there were to tell within that.
Grant Sanderson (17:29.480)
Um,
Lex Fridman (17:30.480)
that's cool.
Lex Fridman (17:31.480)
So your, your video had that kind of structure, it had, uh, like five or six stories or whatever
Lex Fridman (17:36.040)
it was.
Lex Fridman (17:37.160)
And like, it was basically, okay, here's a simulation, here's a model.
Lex Fridman (17:42.040)
What can we discover with this model?
Lex Fridman (17:44.440)
And here's five things I found after playing with it.
Grant Sanderson (17:46.960)
Well, cause here, the thing is a way that you could do that project is you make the
Grant Sanderson (17:51.080)
model and then you put it out and you say, here's a thing for the world to play with,
Lex Fridman (17:54.640)
like come to my website where you interact with this thing.
Grant Sanderson (17:57.160)
Um, and, and people did like sort of remake it in a, um, JavaScript way so that you can
Lex Fridman (18:01.560)
go to that website and you can test your own hypotheses.
Lex Fridman (18:04.720)
But I think a meaningful part of the value to add is not just the technology, but to
Lex Fridman (18:08.640)
give the story around it as well.
Lex Fridman (18:11.000)
And like, that's kind of my job.
Grant Sanderson (18:12.960)
It's not just to like make the, uh, the visuals that someone will look at it's to be the one
Grant Sanderson (18:17.680)
to decide what's the interesting thing to walk through here.
Grant Sanderson (18:20.320)
Um, and even though there's lots of other interesting paths that one could take, that
Grant Sanderson (18:24.280)
can be kind of daunting when you're just sitting there in a sandbox and you're given this
Grant Sanderson (18:27.120)
tool with like five different sliders and you're told to like play and discover things.
Lex Fridman (18:32.240)
Where do you do?
Lex Fridman (18:33.240)
What do you start?
Lex Fridman (18:34.240)
What are my hypotheses?
Lex Fridman (18:35.240)
What should I be asking?
Grant Sanderson (18:36.240)
Like a little bit of guidance in that direction can be what actually sparks curiosity to make
Lex Fridman (18:40.040)
someone want to, um, imagine more about it.
Grant Sanderson (18:43.120)
A few videos I've seen you do, I don't know how often you do it, but there's almost a
Grant Sanderson (18:47.720)
tangential like pause where you, here's a cool thing you say like, here's a cool thing,
Lex Fridman (18:54.280)
but it's outside the scope of this video essentially, but I'll leave it to you as homework essentially
Lex Fridman (18:59.560)
to like figure out it's a cool thing to explore.
Grant Sanderson (19:02.760)
I wish I could say that wasn't a function of laziness and that's like, you've worked
Lex Fridman (19:06.960)
so hard on making the 20 minutes already that to extend it out even further, it would take
Grant Sanderson (19:11.320)
more time.
Lex Fridman (19:12.320)
And one of your cooler videos, the homomorphic, like from the Mobius strip to this, yeah,
Grant Sanderson (19:19.640)
that's the super and you're like, yeah, you can't, uh, you can't transform the Mobius
Grant Sanderson (19:26.160)
strip into a, into a surface without it intersecting itself, but I'll leave it to you to see why
Grant Sanderson (19:35.800)
that is.
Grant Sanderson (19:36.800)
Well, I hope that's not exactly how I phrase it because I think what my hope would be is
Grant Sanderson (19:41.240)
that I leave it to you to think about why you would expect that to be true and then
Grant Sanderson (19:45.280)
to want to know what aspects of a Mobius strip do you want to formalize such that you can
Grant Sanderson (19:50.040)
prove that intuition that you have because at some point now you're starting to invent
Lex Fridman (19:55.160)
algebraic topology.
Grant Sanderson (19:56.840)
If you have these vague instincts like I want to get this Mobius strip, I want to, um, fit
Lex Fridman (1:00:01.360)
Exactly.
Grant Sanderson (1:00:02.360)
You're always going to write it as the best version of yourself.
Grant Sanderson (1:00:05.640)
You're not going to explain the phenomenon of like wanting to get out of the bed, but
Grant Sanderson (1:00:10.240)
not really wanting to get out of the bed and all of that.
Lex Fridman (1:00:13.520)
And just like zoning out for random reasons or the one that people probably don't touch
Grant Sanderson (1:00:18.720)
at all is I try to check social media once a day, but I'm like only.
Lex Fridman (1:00:24.160)
So I post and that's it.
Grant Sanderson (1:00:26.440)
When I post, I check the previous days.
Lex Fridman (1:00:28.840)
That's like my, what I try to do.
Grant Sanderson (1:00:31.880)
That's what I do like 90% of the days.
Lex Fridman (1:00:34.080)
But then I'll go, I'll have like a two week period where it's just like, I'm checking
Grant Sanderson (1:00:38.680)
the internet like, I mean, it's some, probably some scary number of times and a lot of people
Lex Fridman (1:00:44.320)
can resonate with that.
Grant Sanderson (1:00:45.320)
I think it's a legitimate addiction.
Grant Sanderson (1:00:47.480)
It's like, it's a dopamine addiction and it's, I don't know if it's a problem because as
Grant Sanderson (1:00:52.740)
long as it's the kind of socializing, like if you're actually engaging with friends and
Lex Fridman (1:00:55.920)
engaging with other people's ideas, uh, I think it can be really useful.
Grant Sanderson (1:01:00.080)
Well, I don't know.
Lex Fridman (1:01:01.480)
So like for sure I agree with you, but I'm, it's a, it's definitely an addiction because
Grant Sanderson (1:01:07.080)
for me, I think it's true for a lot of people.
Lex Fridman (1:01:09.640)
I am very cognizant of the fact I just don't feel that happy.
Grant Sanderson (1:01:14.560)
If I look at a day where I've checked social media a lot, like if I just aggregate, I did
Grant Sanderson (1:01:20.280)
a self report, I'm sure I would find that I'm just like literally on like less happy
Grant Sanderson (1:01:26.160)
with my life and myself after I've done that check.
Grant Sanderson (1:01:29.880)
When I check it once a day, I'm very like, I'm happy I even like, cause I've seen it.
Grant Sanderson (1:01:36.000)
Okay.
Grant Sanderson (1:01:37.000)
One way to measure that is when somebody says something not nice to you on the internet
Grant Sanderson (1:01:42.360)
is like when I check it once a day, I'm able to just like, like I smile, like, like I virtually,
Lex Fridman (1:01:48.600)
I think about them positively, empathetically, I send them love.
Grant Sanderson (1:01:51.520)
I don't, I don't ever respond, but I just feel positively about the whole thing.
Lex Fridman (1:01:56.080)
If I check it, if I check like more than that, it starts eating at me.
Grant Sanderson (1:02:01.520)
Like it start, there, there's an eating thing that, that happens like anxiety.
Lex Fridman (1:02:07.600)
It occupies a part of your mind that's not, doesn't seem to be healthy.
Grant Sanderson (1:02:11.160)
Same with, I mean, you, you, you put stuff out on YouTube.
Lex Fridman (1:02:15.760)
I think it's important.
Grant Sanderson (1:02:17.520)
I think you have a million dimensions that are interesting to you, but yeah, one of,
Grant Sanderson (1:02:21.260)
one of the interesting ones is the study of education and the psychological aspect of
Grant Sanderson (1:02:26.800)
putting stuff up on YouTube.
Lex Fridman (1:02:28.880)
I like now have completely stopped checking statistics of any kind.
Grant Sanderson (1:02:34.560)
I've released an episode a 100 with my dad, conversation with my dad.
Lex Fridman (1:02:39.920)
He checks, he's probably listening to this stop.
Grant Sanderson (1:02:44.920)
He checks the number of views on his, on his video, on his conversation.
Lex Fridman (1:02:49.560)
So he discovered like a reason he's new to this whole addiction and he just checks and
Grant Sanderson (1:02:54.480)
he like, he'll text me or write to me, I just passed Dawkins and I love that so much.
Lex Fridman (1:03:04.160)
Yeah.
Lex Fridman (1:03:05.160)
So he's, uh, can I tell you a funny story in that effect of like parental use of YouTube?
Lex Fridman (1:03:09.800)
Uh, early on in the channel, uh, my mom would like text me.
Grant Sanderson (1:03:14.480)
She's like, uh, the channel, the channel has had 990,000 views.
Lex Fridman (1:03:19.200)
The channel has had 991,000 views.
Grant Sanderson (1:03:20.720)
I'm like, oh, that's cute.
Grant Sanderson (1:03:22.040)
She's going to the little part on the about page where you see the total number of channel
Grant Sanderson (1:03:24.880)
views.
Lex Fridman (1:03:25.880)
No, she didn't know about that.
Grant Sanderson (1:03:27.880)
She had been going every day through all the videos and then adding them up and she thought
Grant Sanderson (1:03:33.200)
she was like doing me this favor of providing me this like global analytic that, uh, otherwise
Grant Sanderson (1:03:38.000)
wouldn't be visible.
Lex Fridman (1:03:39.000)
That's awesome.
Grant Sanderson (1:03:40.000)
It's just like this addiction where you have some number you want to follow and like, yeah,
Lex Fridman (1:03:43.680)
it's funny that your dad had this.
Grant Sanderson (1:03:44.960)
I think a lot of people have it.
Grant Sanderson (1:03:46.960)
I think that's probably a beautiful thing for like parents cause they're legitimately,
Grant Sanderson (1:03:52.080)
they're proud.
Lex Fridman (1:03:53.080)
Yeah.
Grant Sanderson (1:03:54.080)
It's, it's born of love.
Lex Fridman (1:03:55.080)
It's great.
Grant Sanderson (1:03:56.620)
The downside, I feel one, one of them is this is one interesting experience that you probably
Lex Fridman (1:04:03.800)
don't know much about cause comments on your videos are super positive.
Grant Sanderson (1:04:07.560)
Uh, but people judge the quality of how something went.
Lex Fridman (1:04:12.320)
Like I see that with these conversations by the comments.
Grant Sanderson (1:04:16.200)
Yeah.
Grant Sanderson (1:04:17.200)
Like, I'm not talking about like, you know, people in their twenties and their thirties.
Grant Sanderson (1:04:22.440)
I'm talking about like CEOs of major companies who don't have time.
Lex Fridman (1:04:27.120)
They basically, they literally, this is their evaluation metric.
Grant Sanderson (1:04:31.620)
They're like, Ooh, the comments seem to be positive and that's really concerning to me.
Grant Sanderson (1:04:35.820)
Most important lesson for any content creator to learn is that the commenting public is
Grant Sanderson (1:04:40.320)
not representative of the actual public.
Lex Fridman (1:04:42.800)
And this is easy to see.
Lex Fridman (1:04:44.100)
Ask yourself, how often do you write comments on YouTube videos?
Lex Fridman (1:04:47.400)
Most people will realize I never do it.
Grant Sanderson (1:04:49.680)
Some people realize they do, but the people who realize they never do it should understand
Lex Fridman (1:04:53.760)
that that's a sign.
Grant Sanderson (1:04:54.760)
The kind of people who are like you aren't the ones leaving comments.
Lex Fridman (1:04:58.120)
And I think this is important.
Grant Sanderson (1:04:59.120)
A number of respects, like, uh, in my case, I think I would think my content was better
Lex Fridman (1:05:03.000)
than it was if I just read comments cause people are super nice.
Grant Sanderson (1:05:06.360)
The thing is the people who are bored by it are, are put off by it in some way or frustrated
Lex Fridman (1:05:10.920)
by it.
Grant Sanderson (1:05:11.960)
Usually they just go away.
Grant Sanderson (1:05:13.420)
You're certainly not going to watch the whole video, much less leave a comment on it.
Lex Fridman (1:05:16.680)
So there's a huge under representation of like negative feedback, like well intentioned
Lex Fridman (1:05:20.720)
negative feedback because very few people actively do that.
Grant Sanderson (1:05:23.400)
Like watch the whole thing that they dislike, figure out what they disliked, articulate
Lex Fridman (1:05:26.820)
what they dislike.
Grant Sanderson (1:05:27.820)
Um, there's plenty of negative feedback that's not well intentioned, but um, for like that
Grant Sanderson (1:05:32.280)
golden kind, uh, I think a lot of YouTuber friends I have, uh, at least have gone through
Grant Sanderson (1:05:38.240)
phases of like anxiety about the nature of comments, um, that stem from basically just
Grant Sanderson (1:05:44.520)
this that it's like people who aren't necessarily representative of who they were going for
Grant Sanderson (1:05:48.600)
or misinterpreted what they're trying to say or whatever have you, or we're focusing on
Lex Fridman (1:05:52.640)
things like personal appearances as opposed to like substance.
Lex Fridman (1:05:55.880)
Um, and they come away thinking like, oh, that's what everyone thinks, right?
Lex Fridman (1:05:59.480)
That's what everyone's response to this video was.
Grant Sanderson (1:06:01.720)
Um, but a lot of the people who had the reaction you wanted them to have, like they probably
Lex Fridman (1:06:05.680)
didn't write it down.
Lex Fridman (1:06:07.120)
So very important to learn.
Grant Sanderson (1:06:09.640)
It also translates to, um, realizing that you're not as important as you might think
Lex Fridman (1:06:14.440)
you are, right?
Grant Sanderson (1:06:15.440)
Because all of the people commenting are the ones who love you the most and are like really
Grant Sanderson (1:06:19.020)
asking you to like create certain things or like mad that you didn't create like a past
Lex Fridman (1:06:22.280)
thing.
Grant Sanderson (1:06:23.280)
Um, I don't, I have such a problem.
Grant Sanderson (1:06:26.560)
Like I have a very real problem with making promises about a type of content that I'll
Grant Sanderson (1:06:30.060)
make and then either not following up on it soon or just like never following up on it.
Lex Fridman (1:06:34.680)
Yeah.
Grant Sanderson (1:06:35.680)
Like the last time we talked, I think prom, I'm not sure a promise to me that you'll have
Grant Sanderson (1:06:38.840)
music incorporated into your, like, uh, I'll share it with you a private link, but there's
Grant Sanderson (1:06:44.040)
an example of like what I had in mind.
Grant Sanderson (1:06:45.720)
I like did a version of it, um, and I'm like, Oh, I think there's a better version of this
Grant Sanderson (1:06:50.120)
that might exist one day.
Lex Fridman (1:06:52.100)
So it's now on the, like the back burner, it's like, it's sitting there.
Grant Sanderson (1:06:55.800)
It was like a live performance at this one thing, I think next, next circumstance that
Grant Sanderson (1:06:59.400)
I'm like doing another recorded live performance that like fits having that then in a better
Grant Sanderson (1:07:03.740)
recording context, maybe I'll make it nice in public.
Lex Fridman (1:07:06.040)
Maybe a while, but exactly.
Grant Sanderson (1:07:08.040)
Right.
Grant Sanderson (1:07:09.040)
Um, the point I was going to make those, like, I know I'm bad about following up on stuff,
Grant Sanderson (1:07:12.400)
uh, which is an actual problem.
Grant Sanderson (1:07:14.800)
It's born of the fact that I have a sense of what will be like good content when it
Grant Sanderson (1:07:18.440)
won't be.
Grant Sanderson (1:07:19.440)
Um, but this can actually be credibly disheartening because a ton of comments that I see are people
Grant Sanderson (1:07:24.600)
who are like, uh, frustrated, usually in a benevolent way that like I haven't followed
Lex Fridman (1:07:29.160)
through on like X and X, which I get and I should do that.
Lex Fridman (1:07:32.680)
But what's comforting thought for me is that when there's a topic I haven't promised, but
Grant Sanderson (1:07:36.400)
I am working on and I'm excited about, it's like the people who would really like this
Grant Sanderson (1:07:40.600)
don't know that it's coming and don't know to like comment to that effect and like the
Grant Sanderson (1:07:44.240)
commenting public that I'm seeing is not representative of like who I think this other project will
Grant Sanderson (1:07:49.380)
touch meaningfully.
Lex Fridman (1:07:50.380)
Yeah.
Lex Fridman (1:07:51.380)
So focus on the future on the thing you're creating now, just like the, uh, yeah, the
Lex Fridman (1:07:54.240)
art of it.
Grant Sanderson (1:07:55.240)
One of the people is really inspiring to me in that regard because I've really seen it
Grant Sanderson (1:08:00.760)
in persons, um, Joe Rogan, he doesn't read comments, but not just that he doesn't give
Grant Sanderson (1:08:08.720)
a damn.
Lex Fridman (1:08:09.720)
Hmm.
Grant Sanderson (1:08:10.720)
He like legitimate, he's not like clueless about it.
Grant Sanderson (1:08:13.960)
He's like, just like the richness and the depth of a smile he has when he just experiences
Grant Sanderson (1:08:19.800)
the moment with you like offline, you can tell he doesn't give a damn about like, like
Grant Sanderson (1:08:28.420)
about anything, about what people think about whether if it's on a podcast, you talk to
Grant Sanderson (1:08:31.760)
them or whether offline about just, it's not there.
Grant Sanderson (1:08:36.480)
Like what other people think, how, how, um, even like what the rest of the day looks like
Grant Sanderson (1:08:41.420)
is just deeply in the moment, uh, or like, especially like is, is what we're doing going
Lex Fridman (1:08:48.040)
to make for a good Instagram photo or something like that?
Grant Sanderson (1:08:50.720)
It doesn't think like that at all.
Grant Sanderson (1:08:52.880)
It's I think for actually quite a lot of people, he's an inspiration in that way, but it was
Lex Fridman (1:08:58.360)
and in real life, I show that you can be very successful, not giving a damn about, um, about
Lex Fridman (1:09:06.760)
comments.
Lex Fridman (1:09:07.760)
And it sounds, it sounds bad not to read comments cause it's like, well, there's a huge number
Lex Fridman (1:09:12.940)
of people who are deeply passionate about what you do.
Lex Fridman (1:09:15.120)
So you're what ignoring them, but at the same time, the nature of our platforms is such
Grant Sanderson (1:09:20.760)
that the cost of listening to all the positive people who are really close to you, who are
Grant Sanderson (1:09:27.200)
incredible people have been, you know, I've made a great community that you can learn
Grant Sanderson (1:09:32.240)
a lot from the cost of listening to those folks is also the cost of your psychology
Grant Sanderson (1:09:40.840)
slowly being degraded by the natural underlying toxicity of the internet.
Grant Sanderson (1:09:47.560)
Engage with a handful of people deeply rather than like as many people as you can in a shallow
Grant Sanderson (1:09:51.720)
way.
Lex Fridman (1:09:52.720)
I think that's a good lesson for social media usage.
Grant Sanderson (1:09:55.000)
Um, like platforms in general, like choose, choose just a handful of things to engage
Grant Sanderson (1:10:00.160)
with and engage with it very well in a way that you feel proud of and don't worry about
Grant Sanderson (1:10:03.720)
the rest.
Lex Fridman (1:10:04.720)
Honestly, I think the best social media platform is texting.
Grant Sanderson (1:10:09.400)
That's my favorite.
Lex Fridman (1:10:10.400)
That's my go to social media platform.
Grant Sanderson (1:10:12.080)
Well, yeah, the best social media interactions like real life, not social media, but social
Lex Fridman (1:10:17.560)
interaction.
Grant Sanderson (1:10:18.560)
Oh yeah.
Lex Fridman (1:10:19.560)
No, no, no question there.
Grant Sanderson (1:10:20.560)
I think everyone should agree with that.
Grant Sanderson (1:10:21.560)
Which sucks because, uh, it's been challenged now with the current situation and we're trying
Grant Sanderson (1:10:26.440)
to figure out what kind of platform can be created that we can do remote communication
Lex Fridman (1:10:31.560)
that still is effective.
Grant Sanderson (1:10:32.560)
It's important for education.
Lex Fridman (1:10:34.480)
It's important for just the question of education right now.
Grant Sanderson (1:10:38.040)
Yeah.
Lex Fridman (1:10:39.120)
So on that topic, uh, you've done a series of live streams called lockdown math and you
Grant Sanderson (1:10:44.560)
know, you want live, which is different than you usually do.
Lex Fridman (1:10:48.920)
Maybe one, can you talk about how that feel?
Grant Sanderson (1:10:53.160)
What's that experience like like in your own, when you look back, like, is that an effective
Lex Fridman (1:10:58.080)
way?
Lex Fridman (1:10:59.080)
Did you find a being able to teach?
Lex Fridman (1:11:01.040)
And if so, is there a lessons for this world where all of these educators are now trying
Lex Fridman (1:11:07.720)
to figure out how the heck do I teach remotely?
Lex Fridman (1:11:11.120)
For me, it was very different, as different as you can get.
Grant Sanderson (1:11:13.280)
I'm on camera, which I'm usually not.
Lex Fridman (1:11:15.080)
I'm doing it live, which is nerve wracking.
Grant Sanderson (1:11:17.240)
Um, it was a slightly different like level of topics, although realistically I'm just
Lex Fridman (1:11:21.920)
talking about things I'm interested in no matter what.
Grant Sanderson (1:11:24.360)
I think the reason I did that was this thought that a ton of people are looking to learn
Grant Sanderson (1:11:28.520)
remotely the rate at which I usually put out content is too slow to be actively helpful.
Grant Sanderson (1:11:33.160)
Let me just do some biweekly lectures that if you're looking for a place to point your
Grant Sanderson (1:11:36.880)
students, if you're a student looking for a place to be edified about math, just tune
Grant Sanderson (1:11:39.920)
in at these times.
Grant Sanderson (1:11:40.920)
Um, and in that sense, I think it was, you know, a success for those who followed with
Grant Sanderson (1:11:45.000)
it.
Lex Fridman (1:11:46.000)
It was a really rewarding experience for me to see how people engaged with it.
Grant Sanderson (1:11:50.240)
Um, part of the fun of the live interaction was to actually like I do these live quizzes
Lex Fridman (1:11:54.800)
and see how people would answer and try to shape the lesson based on that or see what
Grant Sanderson (1:11:57.820)
questions people were asking in the audience.
Grant Sanderson (1:11:59.960)
I would love to, if I did more things like that in the future, kind of tighten that feedback
Grant Sanderson (1:12:03.880)
loop even more.
Grant Sanderson (1:12:05.440)
Um, I think for, you know, you asked about like if this can be relevant to educators,
Grant Sanderson (1:12:10.960)
like 100% online teaching is basically a form of live streaming now.
Lex Fridman (1:12:15.040)
Um, and usually it happens through zoom.
Grant Sanderson (1:12:17.280)
I think if teachers view what they're doing as a kind of performance and a kind of live
Grant Sanderson (1:12:22.440)
stream performance, um, that would probably be pretty healthy because zoom can be kind
Grant Sanderson (1:12:27.660)
of awkward.
Grant Sanderson (1:12:28.660)
Um, and I brought up this little blog post actually just on like just what our setup
Grant Sanderson (1:12:32.820)
looked like if you want to adopt it yourself and how to integrate, um, like the broadcasting
Lex Fridman (1:12:37.040)
software OBS with zoom or things like that.
Grant Sanderson (1:12:39.400)
It was really sorry to pause on that.
Lex Fridman (1:12:40.880)
I mean, yeah, maybe we could look at the blog post, but it looked really nice.
Grant Sanderson (1:12:45.560)
The thing is, I knew nothing about any of that stuff before I started.
Lex Fridman (1:12:48.440)
I had a friend who knew a fair bit.
Grant Sanderson (1:12:50.320)
Um, and so he kind of helped show me the routes.
Grant Sanderson (1:12:52.640)
One of the things that I realized is that you could, as a teacher, like it doesn't take
Grant Sanderson (1:12:57.080)
that much to make things look and feel pretty professional.
Grant Sanderson (1:12:59.680)
Um, like one component of it is as soon as you hook things up with the broadcasting software,
Grant Sanderson (1:13:04.160)
rather than just doing like screen sharing, you can set up different scenes and then you
Lex Fridman (1:13:07.840)
can like have keyboard shortcuts to transition between those scenes.
Lex Fridman (1:13:11.320)
So you don't need a production studio with a director calling like, go to camera three,
Lex Fridman (1:13:14.560)
go to camera two, like onto the screen capture.
Grant Sanderson (1:13:17.040)
Instead you can have control of that.
Lex Fridman (1:13:18.820)
And it took a little bit of practice and I would mess it up now and then, but I think
Grant Sanderson (1:13:21.800)
I had it decently smooth such that, you know, I'm talking to the camera and then we're doing
Lex Fridman (1:13:25.800)
something on the paper.
Grant Sanderson (1:13:26.800)
Then we're doing like a, um, playing with a Desmos graph or something.
Lex Fridman (1:13:31.080)
And something that I think in the past would have required a production team, you can actually
Grant Sanderson (1:13:34.240)
do as a solo operation, um, and in particular as a teacher.
Lex Fridman (1:13:38.000)
And I think it's worth it to try to do that because, uh, two reasons, one, you might get
Grant Sanderson (1:13:42.760)
more engagement from the students, but the biggest reason I think one of the like best
Grant Sanderson (1:13:46.400)
things that can come out of this pandemic education wise is if we turn a bunch of teachers
Grant Sanderson (1:13:50.440)
into content creators.
Lex Fridman (1:13:51.920)
And if we take lessons that are usually done in these one off settings and like start to
Grant Sanderson (1:13:55.920)
get in the habit of, um, sometimes I'll use the phrase commoditizing explanation where
Lex Fridman (1:14:01.300)
what you want is whatever a thing a student wants to learn.
Grant Sanderson (1:14:06.680)
It just seems inefficient to me that that lesson is taught millions of times over in
Lex Fridman (1:14:11.020)
parallel across many different classrooms in the world.
Grant Sanderson (1:14:14.160)
Like year to year, you've got a given algebra one lesson that's just taught like literally
Lex Fridman (1:14:18.120)
millions of times, um, by different people.
Lex Fridman (1:14:21.640)
What should happen is that there's the small handful of explanations online, uh, that exists
Lex Fridman (1:14:27.080)
so that when someone needs that explanation, they can go to it, that the time in classroom
Grant Sanderson (1:14:30.640)
is spent on all of the parts of teaching and education that aren't explanation, which is
Lex Fridman (1:14:34.040)
most of it.
Grant Sanderson (1:14:35.400)
Right.
Grant Sanderson (1:14:36.400)
Um, and the way to get there is to basically have more people who are already explaining,
Grant Sanderson (1:14:40.720)
publish their explanations and have it in a publicized forum.
Lex Fridman (1:14:43.960)
So if during a pandemic you can have people automatically creating online content cause
Grant Sanderson (1:14:49.340)
it has to be online, but getting into the habit of doing it in a, um, in a way that
Grant Sanderson (1:14:53.400)
doesn't just feel like a zoom call that happened to be recorded, but it actually feels like
Grant Sanderson (1:14:57.800)
a, a piece that was always going to be publicized to more people than just your students that
Lex Fridman (1:15:03.680)
can be really powerful.
Lex Fridman (1:15:05.480)
And there's an improvement process there, like so being self critical and growing, like,
Grant Sanderson (1:15:11.160)
you know, like I guess YouTubers go through this process of like putting out some content
Lex Fridman (1:15:17.680)
and like nobody caring about it and then trying to figure out like, and basically improving
Lex Fridman (1:15:24.000)
figure out like, why did nobody care?
Lex Fridman (1:15:28.000)
What can I, you know, and they come up with all kinds of answers, which may or may not
Lex Fridman (1:15:31.280)
be correct, but doesn't matter because the answer leads to improvement.
Lex Fridman (1:15:35.600)
So you're being constantly self critical, self analytical, it should be better to say.
Lex Fridman (1:15:40.520)
So you think of like, how can I make the audio better?
Grant Sanderson (1:15:43.060)
Like all the basic things.
Grant Sanderson (1:15:45.680)
Maybe one, one question to ask, cause, uh, well, by way of, uh, Russ Tedrick is a robotics
Grant Sanderson (1:15:52.240)
professor at MIT, one of my favorite people, a big fan of yours.
Lex Fridman (1:15:55.920)
Uh, he watched our first conversation.
Grant Sanderson (1:15:57.720)
I just interviewed him a couple of weeks ago.
Grant Sanderson (1:16:01.320)
He, uh, he teaches this course in the under actuated robotics, which is, um, like robotic
Grant Sanderson (1:16:08.320)
systems when you can't control everything, like when you're like, we as humans, when
Lex Fridman (1:16:13.560)
we walk, we're always falling forward, which means like it's gravity.
Grant Sanderson (1:16:17.680)
You can't control it.
Lex Fridman (1:16:18.680)
You just hope you can catch yourself, but that's not all guaranteed.
Grant Sanderson (1:16:21.800)
It depends on the surface.
Lex Fridman (1:16:23.000)
So like that's under actuated.
Grant Sanderson (1:16:24.480)
You can't control everything.
Grant Sanderson (1:16:26.360)
The number of actuators, uh, the degrees of freedoms you have is not enough to fully control
Grant Sanderson (1:16:31.760)
the system.
Lex Fridman (1:16:32.760)
So I don't know.
Grant Sanderson (1:16:33.760)
It's a really, I think, beautiful, fascinating class.
Lex Fridman (1:16:35.680)
He puts it online.
Grant Sanderson (1:16:37.240)
Um, it's quite popular.
Lex Fridman (1:16:39.040)
He does an incredible job teaching.
Grant Sanderson (1:16:40.440)
He puts it online every time, but he's kind of been interested in like crisping it up,
Lex Fridman (1:16:45.240)
like, you know, making it, uh, you know, innovating in different kinds of ways.
Lex Fridman (1:16:50.480)
And he was inspired by the work you do, because I think in his work, he can do similar kinds
Grant Sanderson (1:16:56.280)
of explanations as you're doing, like revealing the beauty of it and spending like months
Grant Sanderson (1:17:01.240)
in preparing a single video.
Lex Fridman (1:17:03.360)
Uh, and he's interested in how to do that.
Grant Sanderson (1:17:06.360)
That's why he listened to the conversation.
Grant Sanderson (1:17:07.840)
He's playing with manum, but he had this question of, you know, um, of, uh, you know, like in
Grant Sanderson (1:17:16.000)
my apartment where we did the interview, I have like curtains, like the, for like a black
Grant Sanderson (1:17:21.520)
curtain, not this, uh, this is, this is a adjacent mansion that we're in that I also,
Grant Sanderson (1:17:28.800)
uh, but you basically just have, I have like a black curtain, whatever that, you know,
Grant Sanderson (1:17:33.600)
makes it really easy to set up a filming situation with cameras that we have here, these microphones.
Lex Fridman (1:17:38.080)
He was asking, you know, what kind of equipment do you recommend?
Lex Fridman (1:17:41.560)
I guess like your blog post is a good one.
Grant Sanderson (1:17:43.640)
I said, I don't recommend this is excessive and actually really hard to work with.
Lex Fridman (1:17:49.000)
So I wonder, I mean, uh, is there something you would recommend in terms of equipment?
Grant Sanderson (1:17:55.160)
Like is, is it, do you re do you think like lapel mics, like USB mics, what do you, for
Grant Sanderson (1:18:00.880)
my narration, I use a USB mic for the streams that used to lapel mic, uh, the narration,
Grant Sanderson (1:18:06.280)
it's a blue Yeti.
Grant Sanderson (1:18:07.280)
Um, I'm forgetting actually the name of the lapel mic, but it was probably like a road
Grant Sanderson (1:18:12.120)
of some kind.
Lex Fridman (1:18:13.680)
Um, but is it hard to figure out how to make the audio sound good?
Grant Sanderson (1:18:17.120)
Oh, I mean, listen to all the early videos on my channel and clearly like I'm terrible
Lex Fridman (1:18:21.600)
at this for, for some reason.
Grant Sanderson (1:18:23.640)
Um, I just couldn't get audio for awhile.
Lex Fridman (1:18:25.760)
I think I, it's weird when you hear your own voice.
Lex Fridman (1:18:28.120)
So you hear it, you're like, this sounds weird and it's hard to notice it sound weird because
Grant Sanderson (1:18:31.820)
you're not used to your own voice or they're like actual audio artifacts at play.
Grant Sanderson (1:18:36.160)
Um, so, uh, and then video is just for the lockdown, just the camera, like you said,
Grant Sanderson (1:18:43.120)
it was probably streaming somehow through the, yeah, there were two GH five cameras.
Grant Sanderson (1:18:47.260)
One that was mounted overhead over a piece of paper.
Grant Sanderson (1:18:49.520)
You could also use like an iPad or a Wacom tablet to do your writing electronically,
Lex Fridman (1:18:53.640)
but I just wanted the paper feel, um, one on the face.
Lex Fridman (1:18:57.840)
There's two.
Grant Sanderson (1:18:58.840)
Um, again, I don't know, I'm like just not actually the one to ask this cause I like
Grant Sanderson (1:19:02.400)
animate stuff usually, but, uh, each of them like has a compressor object that makes it
Grant Sanderson (1:19:08.400)
such that the camera output goes into the computer USB, but like gets compressed before
Lex Fridman (1:19:12.880)
it does that.
Lex Fridman (1:19:13.880)
The, the live aspect of it, do you, do you regret doing it live?
Lex Fridman (1:19:20.120)
Not at all.
Grant Sanderson (1:19:21.120)
Um, I think I do think the content might be like much less sharp and tight than if it
Lex Fridman (1:19:26.360)
were something, even that I just recorded like that and then edited later.
Lex Fridman (1:19:30.360)
But I do like something that I do to be out there to show like, Hey, this is what it's
Lex Fridman (1:19:34.080)
like.
Grant Sanderson (1:19:35.080)
Raw.
Lex Fridman (1:19:36.080)
This is what it's like when I make mistakes.
Grant Sanderson (1:19:37.080)
Um, this is like the pace of thinking, um, I like the live interaction of it.
Lex Fridman (1:19:41.240)
I think that made it better.
Grant Sanderson (1:19:42.760)
Uh, I probably would do it on a different channel.
Grant Sanderson (1:19:45.480)
I think, um, if I did series like that in the future, just because it's, it's a different
Grant Sanderson (1:19:49.120)
style.
Grant Sanderson (1:19:50.120)
It's probably a different target audience and, um, kind of keep clean what three blue
Lex Fridman (1:19:53.240)
and brown is about versus, uh, the benefits of like live lectures.
Lex Fridman (1:19:58.080)
Do you, uh, suggest like in this time of COVID that people like Russ or other educators tried
Grant Sanderson (1:20:04.280)
to go like the, the shorter, like 20 minute videos that are like really well planned out
Lex Fridman (1:20:12.080)
or scripted.
Grant Sanderson (1:20:13.080)
You really think through, you slowly design.
Lex Fridman (1:20:15.680)
So it's not live.
Lex Fridman (1:20:16.680)
Do you see like that being an important part of, um, what they do?
Lex Fridman (1:20:20.360)
Yeah.
Grant Sanderson (1:20:21.360)
Well, what I think teachers like Russ should do is, um, choose the small handful of topics
Lex Fridman (1:20:25.880)
that they're going to do just really well.
Grant Sanderson (1:20:27.400)
They want to create the best short explanation of it in the world that will be one of those
Lex Fridman (1:20:31.320)
handfuls in a world where you have commoditized explanation, right?
Grant Sanderson (1:20:35.160)
Most of the lectures should be done just normally.
Lex Fridman (1:20:37.440)
Um, so put thought and planning into it.
Grant Sanderson (1:20:39.040)
I'm sure he's a wonderful teacher and like knows all about that, but maybe choose those
Lex Fridman (1:20:42.920)
small handful of topics.
Grant Sanderson (1:20:44.440)
Um, do what beneficial for me sometimes is I do sample lessons with people on that topic
Lex Fridman (1:20:49.560)
to get some sense of how other people think about it.
Grant Sanderson (1:20:52.560)
Let that inform how you want to, um, edit it or script it or whatever format you want
Lex Fridman (1:20:56.840)
to do.
Grant Sanderson (1:20:57.840)
Some people are comfortable just explaining it and editing later.
Lex Fridman (1:20:59.960)
I'm more comfortable like writing it out and thinking in that setting.
Grant Sanderson (1:21:02.640)
Yeah.
Lex Fridman (1:21:03.640)
It's kind of sad.
Grant Sanderson (1:21:04.640)
Sorry to interrupt.
Lex Fridman (1:21:05.640)
Uh, it's, it's a little bit sad to me to see how much knowledge is lost.
Grant Sanderson (1:21:10.960)
Like just, just like you mentioned, there's professors, like we can take my dad, for example,
Grant Sanderson (1:21:16.200)
to blow up his ego a little bit, but he's a, he's a great teacher and he knows plasma,
Grant Sanderson (1:21:21.800)
plasma chemistry, plasma physics really well.
Lex Fridman (1:21:23.900)
So he can very simply explain some beautiful, but otherwise, uh, complicated concepts.
Lex Fridman (1:21:31.520)
And it's sad that like, if you Google plasma or like for plasma physics, like there's no
Lex Fridman (1:21:37.520)
videos.
Lex Fridman (1:21:38.520)
And just imagine if every one of those excellent teachers like your father or like Russ, um,
Grant Sanderson (1:21:43.120)
even if they just chose one topic this year, they're like, I'm going to make the best video
Grant Sanderson (1:21:46.940)
that I can on this topic.
Grant Sanderson (1:21:48.160)
If every one of the great teachers did that, the internet would be replete and it's already
Grant Sanderson (1:21:52.360)
replete with great explanations.
Lex Fridman (1:21:53.800)
But it would be even more so with all the niche, great explanations and like anything
Grant Sanderson (1:21:56.840)
you want to learn.
Grant Sanderson (1:21:57.840)
Um, and there's a self interest to it for, in terms of teachers, in terms of even, so
Grant Sanderson (1:22:02.480)
if you take Russ, for example, it's not that he's teaching something like he teaches his
Lex Fridman (1:22:08.160)
main thing, his thing he's deeply passionate about.
Lex Fridman (1:22:11.600)
And from a selfish perspective, it's also just like, I mean, it's a, it's a, it's like
Grant Sanderson (1:22:20.360)
publishing a paper in a really, uh, like nature has like letters, like accessible publication.
Grant Sanderson (1:22:27.680)
It's just going to guarantee that your work, that your passion is seen by a huge number
Lex Fridman (1:22:35.500)
of people, whatever the definition of huge is, doesn't matter.
Grant Sanderson (1:22:39.080)
It's much more than it otherwise, uh, would be.
Lex Fridman (1:22:42.400)
And it's those lectures that tell early students what to be interested in at the moment.
Grant Sanderson (1:22:47.960)
I think students are disproportionately interested in the things that are well represented on
Lex Fridman (1:22:51.360)
YouTube.
Lex Fridman (1:22:52.440)
So to any educator out there, if you're wondering, Hey, I want more like grad students in my
Lex Fridman (1:22:56.000)
department, like what's the best way to recruit grad students?
Grant Sanderson (1:22:59.000)
It's like, make the best video you can and then wait eight years.
Lex Fridman (1:23:02.040)
And then you're going to have a pile of like excellent grad students for that department.
Lex Fridman (1:23:05.560)
And one of the lessons I think your channel teaches is there's appeal of explaining just
Grant Sanderson (1:23:12.920)
something beautiful, explaining it cleanly, technically not doing a marketing video about
Lex Fridman (1:23:19.680)
why topology is great.
Lex Fridman (1:23:21.120)
There's yeah, that's the, there's people interested in this stuff.
Grant Sanderson (1:23:24.000)
I mean, uh, one of the greatest channels like Matt, it's not even a math channel, but the
Lex Fridman (1:23:29.280)
channel with greatest math content is Vsauce, like interviewed.
Grant Sanderson (1:23:33.200)
If imagine you were to propose making a video that explains the Banach Tarski paradox substantively,
Lex Fridman (1:23:38.800)
right?
Grant Sanderson (1:23:39.800)
Like not shying around it, maybe not describing things in terms of, um, like the group theoretic
Grant Sanderson (1:23:45.440)
terminology that you'd usually see in a paper, but the actual results, um, that went into
Grant Sanderson (1:23:51.920)
this idea of like breaking apart a sphere, proposing that to like a network TV station
Grant Sanderson (1:23:56.160)
saying, yeah, I'm going to, I'm going to do this in depth talk of the Banach Tarski paradox.
Grant Sanderson (1:23:59.880)
I'm pretty sure it's going to reach 20 million people.
Lex Fridman (1:24:02.120)
It's like, get out of here.
Grant Sanderson (1:24:04.000)
Like no, no one cares about that.
Lex Fridman (1:24:05.760)
No one's interested in anything even anywhere near that.
Lex Fridman (1:24:08.720)
But then you have Michael's quirky personality around it.
Lex Fridman (1:24:11.060)
And just people that are actually hungry for that kind of depth, um, then you don't need
Grant Sanderson (1:24:16.200)
like the approval of some higher network.
Lex Fridman (1:24:19.280)
You can just do it and let the people speak for themselves.
Lex Fridman (1:24:22.080)
So I think, you know, if your father was to make something on plasma physics or, um, if
Grant Sanderson (1:24:26.720)
we were to have like, uh, underactualized robotics, underactuated, underactuated, yes,
Grant Sanderson (1:24:32.680)
not underactualized, plenty actualized underactuated robotics.
Lex Fridman (1:24:37.360)
Robotics is under actualized currently.
Lex Fridman (1:24:41.520)
So even if it's things that you might think are niche, I bet you'll be surprised by how
Lex Fridman (1:24:46.100)
many people, um, actually engage with it really deeply.
Grant Sanderson (1:24:49.360)
Although I just psychologically watching him, I can't speak for a lot of people.
Lex Fridman (1:24:52.720)
I can speak for my dad.
Grant Sanderson (1:24:53.880)
I think there's a, there's a little bit of a skill gap, but I think that could be overcome.
Lex Fridman (1:25:00.200)
That's pretty basic.
Grant Sanderson (1:25:01.200)
None of us know how to make videos when we start the first stuff I made was terrible
Lex Fridman (1:25:04.160)
in a number of respects.
Grant Sanderson (1:25:05.160)
Like look at the earliest videos I need in the YouTube channel, except for captain disillusion.
Lex Fridman (1:25:09.280)
And they're all like terrible versions of whatever they are now.
Lex Fridman (1:25:13.480)
But the thing I've noticed, especially like with world experts is it's the same thing
Lex Fridman (1:25:19.480)
that I'm sure you went through, which is like, um, fear of like embarrassment.
Grant Sanderson (1:25:25.320)
Like they, they definitely, it's, it's the same reason.
Grant Sanderson (1:25:29.720)
Like I feel that anytime I put out a video, I don't know if you still feel that.
Lex Fridman (1:25:35.120)
But like, I don't know, it's this imposter syndrome.
Lex Fridman (1:25:39.360)
Like who am I to talk about this?
Lex Fridman (1:25:41.040)
And that that's true for like even things that you've studied for like your whole life.
Lex Fridman (1:25:46.320)
Uh, I don't know.
Grant Sanderson (1:25:47.400)
It's scary to post stuff on YouTube.
Lex Fridman (1:25:50.160)
It is scary.
Grant Sanderson (1:25:51.160)
Uh, I honestly wish that more of the people who had that modesty to say, who am I to
Lex Fridman (1:25:57.700)
post this?
Grant Sanderson (1:25:58.700)
We're the ones actually posting it.
Lex Fridman (1:26:00.200)
That's right.
Grant Sanderson (1:26:01.200)
I mean, the honest problem is like a lot of the educational content is posted by people
Grant Sanderson (1:26:04.680)
who like, we're just starting to research it two weeks ago and are on a certain schedule
Lex Fridman (1:26:09.680)
and who maybe should think like, who am I to explain and choose your favorite topic,
Lex Fridman (1:26:15.960)
quantum mechanics or something.
Grant Sanderson (1:26:17.720)
Um, and the people who have the self awareness, uh, to not post are probably the people also
Lex Fridman (1:26:23.760)
best positioned to give a good, honest explanation of it.
Grant Sanderson (1:26:27.400)
That's why there's a lot of value in a channel like numberphile where they basically trap
Grant Sanderson (1:26:32.480)
a really smart person and force them to explain stuff on a bronze sheet of paper.
Grant Sanderson (1:26:38.240)
So, but of course that's not scalable as a single channel.
Grant Sanderson (1:26:41.760)
If they, if there's anything beautiful that it could be done as people take it in their
Grant Sanderson (1:26:45.640)
own hands, uh, educators, which is again, circling back, I do think the pandemic will
Lex Fridman (1:26:51.220)
serve to force a lot of people's hands.
Grant Sanderson (1:26:54.560)
You're going to be making online content anyway.
Lex Fridman (1:26:56.940)
It's happening, right?
Grant Sanderson (1:26:58.940)
Just hit that publish button and see how it goes.
Lex Fridman (1:27:01.520)
Yeah.
Grant Sanderson (1:27:02.720)
See how it goes.
Lex Fridman (1:27:03.720)
The cool thing about YouTube is it might not go for a while, but like 10 years later, right?
Grant Sanderson (1:27:10.040)
Yeah.
Grant Sanderson (1:27:11.040)
It'll be like, this, the thing this, what people don't understand with YouTube, at least
Grant Sanderson (1:27:14.440)
for now, at least that's my hope with it is, uh, it's a leg.
Lex Fridman (1:27:20.000)
It's a, it's literally better than publishing a book in terms of the legacy.
Grant Sanderson (1:27:24.800)
It's it will live for a long, long time.
Grant Sanderson (1:27:27.800)
Of course it's, um, one of the things I mentioned Joe Rogan before, it's kinda, there's a sad
Grant Sanderson (1:27:34.480)
thing cause I'm a fan.
Lex Fridman (1:27:36.640)
He's moving to Spotify.
Grant Sanderson (1:27:38.240)
Yeah.
Lex Fridman (1:27:39.240)
Yeah.
Grant Sanderson (1:27:40.240)
Nine digit numbers will do that to you.
Lex Fridman (1:27:41.800)
Yeah.
Lex Fridman (1:27:42.800)
But he doesn't really that he was one of the person that doesn't actually care that much
Lex Fridman (1:27:46.040)
about money.
Grant Sanderson (1:27:47.040)
Like having talked to him here, it wasn't because of money.
Lex Fridman (1:27:50.900)
It's because he legitimately thinks that they're going to do like a better job.
Grant Sanderson (1:27:58.880)
Like, so they're, so from his perspective, YouTube, you have to understand where they're
Lex Fridman (1:28:03.040)
coming from.
Grant Sanderson (1:28:04.040)
YouTube has been cracking down on people who they, you know, Joe Rogan talks to Alex Jones
Lex Fridman (1:28:10.880)
and conspiracy theories and stuff.
Lex Fridman (1:28:13.120)
And YouTube is really like careful that kind of stuff.
Lex Fridman (1:28:16.480)
And that's not a good feeling.
Grant Sanderson (1:28:18.400)
Like, and Joe didn't, doesn't feel like YouTube was on his side.
Grant Sanderson (1:28:22.760)
You know, he's often has videos that they don't put in trending that like are obviously
Grant Sanderson (1:28:28.680)
should be in trending because they're nervous about like, you know, if this concert is this,
Grant Sanderson (1:28:34.720)
is this content going to, you know, upset people that all that kind of stuff have misinformation.
Lex Fridman (1:28:41.520)
And that's not a good place for a person to be in.
Lex Fridman (1:28:44.320)
And Spotify is giving them a, we're never going to censor you.
Grant Sanderson (1:28:48.480)
We're never going to do that.
Lex Fridman (1:28:50.360)
But the reason I bring that up, whatever you think about that, I personally think as bullshit
Grant Sanderson (1:28:55.120)
because podcasting should be free and not constrained to a platform.
Lex Fridman (1:28:59.640)
It's pirate radio.
Lex Fridman (1:29:00.640)
What the hell?
Grant Sanderson (1:29:01.640)
You can't, as much as I love Spotify, you can't just, you can't put fences around it.
Lex Fridman (1:29:08.360)
But anyway, the reason I bring that up is Joe's going to remove his entire library from
Lex Fridman (1:29:13.480)
YouTube.
Lex Fridman (1:29:14.480)
Whoa, really?
Lex Fridman (1:29:15.480)
I didn't know that.
Grant Sanderson (1:29:16.480)
His full length, the clips are going to stay, but the full length videos are all, I mean,
Lex Fridman (1:29:20.640)
made private or deleted.
Grant Sanderson (1:29:22.320)
That's part of the deal.
Lex Fridman (1:29:23.660)
And like, that's the first time where I was like, Oh, YouTube videos might not live forever.
Grant Sanderson (1:29:29.200)
Like things you find like, okay, I'm sorry.
Grant Sanderson (1:29:32.640)
This is why you need an IPFS or something where it's like, if there's a content link,
Lex Fridman (1:29:36.960)
are you familiar with this system at all?
Lex Fridman (1:29:39.300)
Like right now, if you have a URL, it points to a server.
Grant Sanderson (1:29:41.920)
There's like a system where the address points to content and then it's like distributed.
Lex Fridman (1:29:46.240)
So you, you can't actually delete what's at an address because it's, it's content addressed.
Lex Fridman (1:29:50.920)
And as long as there's someone on the network who hosts it, it's always accessible at the
Lex Fridman (1:29:54.500)
address that it once was.
Lex Fridman (1:29:56.860)
But I mean, that raises a question.
Lex Fridman (1:29:58.600)
I'm not going to put you on the spot, but like somebody like Vsauce, right?
Grant Sanderson (1:30:03.420)
Spotify comes along and gives him, let's say $100 billion.
Lex Fridman (1:30:07.800)
Okay.
Lex Fridman (1:30:08.800)
Let's say some crazy number and then removes it from YouTube, right?
Lex Fridman (1:30:13.160)
It's made me, I don't know, for some reason I thought YouTube is forever.
Grant Sanderson (1:30:19.840)
I don't think it will be.
Grant Sanderson (1:30:20.840)
I mean, you know, another variant that this might take is like, uh, that, you know, um,
Grant Sanderson (1:30:25.560)
you fast forward 50 years and, uh, you know, Google or Alphabet isn't the company that
Lex Fridman (1:30:30.360)
it once was.
Lex Fridman (1:30:31.360)
And it's kind of struggling to make ends meet.
Lex Fridman (1:30:33.240)
And you know, it's been supplanted by the whoever wins on the AR game or whatever it
Grant Sanderson (1:30:38.360)
might be.
Lex Fridman (1:30:39.640)
And then they're like, you know, all of these videos that we're hosting are pretty costly.
Lex Fridman (1:30:43.880)
So we're just, we're going to start deleting the ones that aren't watched that much and
Lex Fridman (1:30:47.680)
tell people to like try to back them up on their own or whatever it is.
Grant Sanderson (1:30:51.560)
Um, or even if it does exist in some form forever, it's like if people are, um, not
Grant Sanderson (1:30:56.520)
habituated to watching YouTube in 50 years, they're watching something else, which seems
Grant Sanderson (1:30:59.600)
pretty likely.
Grant Sanderson (1:31:00.600)
Like it would be shocking if YouTube remained as popular as it is now indefinitely into
Grant Sanderson (1:31:06.040)
the future.
Lex Fridman (1:31:07.520)
So, uh, it won't be forever.
Grant Sanderson (1:31:10.160)
Makes me sad still, but cause it's such a nice, it's just like you said of the canonical
Lex Fridman (1:31:16.160)
videos.
Grant Sanderson (1:31:17.160)
Sorry.
Lex Fridman (1:31:18.160)
I didn't mean to interrupt.
Grant Sanderson (1:31:19.160)
You know, you should get Juan Bennett on the, uh, on the thing and then talk to him about
Lex Fridman (1:31:21.800)
permanence.
Grant Sanderson (1:31:22.800)
I think you would have a good conversation.
Lex Fridman (1:31:24.400)
Who's that?
Lex Fridman (1:31:25.400)
So he's the one that founded this thing called IPFS that I'm talking about.
Lex Fridman (1:31:28.880)
And if you have him talk about basically what you're describing, like, Oh, it's sad that
Grant Sanderson (1:31:32.560)
this isn't forever.
Grant Sanderson (1:31:33.560)
Then you'll get some articulate pontification around it that's like been pretty well thought
Grant Sanderson (1:31:38.160)
through.
Grant Sanderson (1:31:39.160)
Uh, but yeah, I do see YouTube, just like you said, as a, as a place, like what your
Grant Sanderson (1:31:44.040)
channel creates, which is like a set of canonical videos on a topic.
Grant Sanderson (1:31:47.880)
Now others could create videos on that topic as well, but as a collection, it creates a
Grant Sanderson (1:31:54.560)
nice set of places to go.
Grant Sanderson (1:31:56.480)
Uh, if you're curious about a particular topic and it seems like coronavirus is a nice opportunity
Grant Sanderson (1:32:02.320)
to, uh, put that knowledge out there in the world at, uh, MIT and beyond, I have to talk
Lex Fridman (1:32:10.680)
to you a little bit about machine learning, deep learning and so on.
Grant Sanderson (1:32:13.440)
Again, we talked about last time you have a set of beautiful videos on neural networks.
Grant Sanderson (1:32:19.560)
Uh, let me ask you first, what is the most beautiful aspect of neural networks and machine
Lex Fridman (1:32:28.160)
learning to you, like for making those videos from watching how the field is evolving?
Lex Fridman (1:32:35.320)
Is there something mathematically or in applied sense, just beautiful to you about them?
Grant Sanderson (1:32:42.560)
Well, I think what I would go to is the layered structure and how, um, you can have what feel
Grant Sanderson (1:32:48.320)
like qualitatively distinct things happening, going from one layer to another, but that
Grant Sanderson (1:32:52.960)
are, um, following the same mathematical rule because you look at it as a piece of math.
Lex Fridman (1:32:56.960)
It's like you got a non linearity and then you've got a matrix multiplication.
Grant Sanderson (1:33:00.720)
That's what's happening on all the layers.
Grant Sanderson (1:33:02.400)
Um, but especially if you look at like some of the visualizations that, uh, like Chris
Grant Sanderson (1:33:06.880)
Ola has done with respect to, um, like convolutional nets that have been trained on image net trying
Lex Fridman (1:33:12.640)
to say, what does this neuron do?
Lex Fridman (1:33:14.120)
What do this, uh, does this family of neurons do?
Lex Fridman (1:33:17.440)
What you can see is that, um, the ones closer to the input side are picking up on very low
Lex Fridman (1:33:22.260)
level ideas like the texture, right?
Lex Fridman (1:33:24.720)
And then as you get further back, you have higher level ideas.
Lex Fridman (1:33:26.920)
Like what is the, where are the eyes in this picture?
Lex Fridman (1:33:29.200)
And then how do the eyes form like an animal is this animal, a cat or a dog or a deer.
Grant Sanderson (1:33:33.760)
You have this series of qualitatively different things happening, even though it's the same
Lex Fridman (1:33:37.800)
piece of math on each one.
Lex Fridman (1:33:39.680)
So that's a pretty beautiful idea that you can have like a generalizable object that,
Grant Sanderson (1:33:44.760)
um, runs through the layers of abstraction, which in some sense constitute intelligence
Grant Sanderson (1:33:50.220)
is having, um, those many different layers of an understanding to something form abstractions
Lex Fridman (1:33:55.720)
in a automated way.
Grant Sanderson (1:33:57.640)
Exactly.
Lex Fridman (1:33:58.640)
It's automated abstracting, which, I mean, that just feels very powerful.
Grant Sanderson (1:34:02.160)
Um, and the idea that it can be so simply mathematically represented.
Grant Sanderson (1:34:06.200)
I mean, a ton of like modern ML research seems a little bit like you do a bunch of ad hoc
Grant Sanderson (1:34:10.360)
things, then you decide which one worked and then you retrospectively come up with the
Lex Fridman (1:34:14.000)
mathematical reason that it always had to work.
Grant Sanderson (1:34:16.240)
Um, but you know, who cares how you came to it when you have like that elegant piece of
Lex Fridman (1:34:19.820)
math?
Grant Sanderson (1:34:20.820)
Uh, it's hard not to just smile seeing it work in action.
Grant Sanderson (1:34:24.440)
Well, and when you talked about topology before, one of the really interesting things is, is
Grant Sanderson (1:34:30.880)
beginning to be investigated under kind of the field of like science and deep learning,
Grant Sanderson (1:34:34.560)
which is like the craziness of the surface that, uh, is trying to be optimized, uh, in
Grant Sanderson (1:34:42.920)
neural networks.
Grant Sanderson (1:34:43.920)
I mean, the, the amount of local minima, local optima there is in these surfaces and somehow
Grant Sanderson (1:34:51.520)
a dumb gradient descent algorithm was able to find really good solutions.
Lex Fridman (1:34:55.640)
That's like, that's really surprising.
Grant Sanderson (1:34:58.280)
Well, so on the one hand it is, but also it's like not, it's not terribly surprising that
Grant Sanderson (1:35:04.200)
you have these interesting points that exist when you make your space so high dimensional,
Lex Fridman (1:35:08.880)
like GPT three, what did it have?
Lex Fridman (1:35:10.880)
175 billion parameters.
Lex Fridman (1:35:12.640)
So it doesn't feel as mesmerizing to think about, Oh, there's some surface of intelligent
Lex Fridman (1:35:19.900)
behavior in this crazy high dimensional space.
Grant Sanderson (1:35:21.760)
It's like, there's so many parameters that of course, but what's more interesting is
Grant Sanderson (1:35:24.840)
like, how, how is it that you're able to efficiently get there, which is maybe what you're describing
Grant Sanderson (1:35:28.940)
that something as dumb as gradient descent does it, but like the re the reason that gradient
Grant Sanderson (1:35:35.120)
descent works well with neural networks and not just, you know, choose however you want
Grant Sanderson (1:35:38.920)
to parameterize this space and then like apply gradient descent to it is that that layered
Grant Sanderson (1:35:42.640)
structure lets you decompose the derivative in a way that makes it computationally feasible.
Grant Sanderson (1:35:47.160)
Um, yeah, it's just that, that there's so many good solutions, probably infinitely infinitely
Lex Fridman (1:35:54.160)
many good solutions, not best solutions, but good solutions.
Grant Sanderson (1:35:58.780)
That's that's what's interesting.
Grant Sanderson (1:36:00.840)
It's similar to, uh, Steven Wolfram has this idea of like the, if you just look at all
Grant Sanderson (1:36:07.120)
space of computations of all space of basically algorithms that you'd be surprised how many
Lex Fridman (1:36:13.040)
of them are actually intelligent.
Grant Sanderson (1:36:15.760)
Like if you just randomly pick from the bucket, uh, that's surprising.
Grant Sanderson (1:36:19.600)
We tend to think like a tiny, tiny minority of them would be intelligent, but his sense
Grant Sanderson (1:36:26.400)
is like, it seems weirdly easy to find computations that do something interesting.
Grant Sanderson (1:36:32.760)
Well, okay, so that from like a calm agor, calm agor of complexity standpoint, almost
Grant Sanderson (1:36:38.680)
everything will be interesting.
Grant Sanderson (1:36:40.080)
What's fascinating is to find the stuff that's describable with low information, but still
Grant Sanderson (1:36:44.160)
does interesting things.
Grant Sanderson (1:36:45.640)
Uh, like one fun example of this, you know, um, Shannon's noisy coding and theorem, uh,
Grant Sanderson (1:36:51.080)
noisy coding theorem and, uh, information theory that basically says if, you know, I
Grant Sanderson (1:36:55.400)
want to send some bits to you, um, maybe, uh, some of them are going to get flipped.
Grant Sanderson (1:36:59.560)
Uh, there's some noise along the channel.
Lex Fridman (1:37:01.720)
I can come up with some way of coding it.
Grant Sanderson (1:37:04.320)
That's resilient to that noise.
Lex Fridman (1:37:06.040)
That's very good.
Grant Sanderson (1:37:07.280)
Um, and then he quantitatively describes what very good is.
Grant Sanderson (1:37:10.400)
What's funny about how he proves the existence of good error correction codes is rather than
Grant Sanderson (1:37:15.400)
saying like, here's how to construct it or even like a sensible nonconstructive proof.
Grant Sanderson (1:37:20.040)
The nature of his nonconstructive proof is to say, um, if we chose a random encoding,
Grant Sanderson (1:37:25.260)
it would be almost at the limit, which is weird because then it took decades for people
Lex Fridman (1:37:30.040)
to actually find any that were anywhere close to the limit.
Lex Fridman (1:37:33.000)
And what his proof was saying is choose a random one.
Lex Fridman (1:37:35.880)
And it's like the best kind of encoding you'll ever find.
Lex Fridman (1:37:39.160)
But what's what that tells us is that sometimes when you choose a random element from this
Grant Sanderson (1:37:44.600)
ungodly huge set, that's a very different task from finding an efficient way to actively
Grant Sanderson (1:37:49.120)
describe it.
Grant Sanderson (1:37:50.120)
Cause in that case, the random element to actually implement it as a bit of code, you
Grant Sanderson (1:37:52.920)
would just have this huge table of like, um, telling you how to encode one thing into another.
Lex Fridman (1:37:58.200)
That's totally computationally infeasible.
Lex Fridman (1:38:00.520)
So on the side of like how many possible programs are interesting in some way, it's like, yeah,
Lex Fridman (1:38:06.200)
tons of them.
Lex Fridman (1:38:07.200)
But the much, much more delicate question is when you can have a low information description
Lex Fridman (1:38:11.920)
of something that still becomes interesting.
Lex Fridman (1:38:14.720)
And thereby this kind of gives you a blueprint for how to engineer that kind of thing.
Lex Fridman (1:38:18.400)
Right.
Grant Sanderson (1:38:19.400)
Yeah.
Grant Sanderson (1:38:20.400)
Chaos theory is another good instance there where it's like, yeah, a ton of things are
Grant Sanderson (1:38:22.800)
hard to describe, but how do you have ones that have a simple set of governing equations
Lex Fridman (1:38:27.040)
that remain like arbitrarily hard to describe?
Grant Sanderson (1:38:30.160)
Well, let me ask you, uh, you mentioned GPT three.
Grant Sanderson (1:38:33.680)
It's interesting to ask, uh, what are your thoughts about the recently released open
Grant Sanderson (1:38:40.000)
AI GPT three model that I believe is already trying to learn how to communicate like Grant
Lex Fridman (1:38:46.640)
Sanderson?
Grant Sanderson (1:38:47.640)
You know, I think I got an email a day or two ago about someone who wanted to, um, try
Grant Sanderson (1:38:51.480)
to use GPT three with manum where you would like give it a high level description of something
Lex Fridman (1:38:57.280)
and then it'll like automatically create the mathematical animation, like trying to put
Lex Fridman (1:39:01.120)
me out of a job here.
Grant Sanderson (1:39:03.120)
I mean, it probably won't put you out of a job, but it'll create something visually beautiful
Lex Fridman (1:39:08.920)
for sure.
Grant Sanderson (1:39:09.920)
I would be surprised if that worked as stated, but maybe there's like variants of it like
Lex Fridman (1:39:15.040)
that you can get to.
Grant Sanderson (1:39:16.040)
Um, I mean like a lot of those demos, it's interesting.
Grant Sanderson (1:39:18.600)
I think, uh, there's a lot of failed experiments, like depending on how you prime the thing,
Grant Sanderson (1:39:26.360)
you're going to have a lot of failed, I'm certainly with code and program synthesis.
Grant Sanderson (1:39:30.280)
Most of it won't even run, but eventually I think if you, if you're, if you pick the
Grant Sanderson (1:39:35.480)
right examples, you'll be able to generate something cool.
Lex Fridman (1:39:38.840)
And I think that even that's good enough, even though if it's, if it's, if you're being
Grant Sanderson (1:39:42.280)
very selective, it's still cool that something can be generated.
Lex Fridman (1:39:46.240)
Yeah.
Grant Sanderson (1:39:47.240)
That's a huge value.
Lex Fridman (1:39:48.720)
Um, I mean, think of the writing process.
Grant Sanderson (1:39:50.360)
Sometimes a big part of it is just getting a bunch of stuff on the page and then you
Lex Fridman (1:39:52.960)
can decide what to whittle down to.
Lex Fridman (1:39:54.920)
So if it can be used in like a man machine symbiosis where it's just giving you a spew
Grant Sanderson (1:39:59.640)
of potential ideas that then you can refine down, um, like it's serving as the generator
Lex Fridman (1:40:05.080)
and then the human serves as the refiner.
Lex Fridman (1:40:07.320)
That seems like a pretty powerful dynamic.
Grant Sanderson (1:40:09.280)
Yeah.
Lex Fridman (1:40:10.280)
Have you, uh, have you gotten a chance to see any of the demos like on Twitter?
Lex Fridman (1:40:14.120)
Is there a favorite you've seen or?
Lex Fridman (1:40:15.800)
Oh, my absolute favorite.
Grant Sanderson (1:40:17.440)
Yeah.
Grant Sanderson (1:40:18.440)
Uh, so Tim Blay who runs a channel called acapella science, he was like tweeting a bunch
Grant Sanderson (1:40:23.000)
about playing with it.
Lex Fridman (1:40:24.760)
Um, and so he, so GPT three was trained on the internet from before COVID.
Lex Fridman (1:40:30.680)
So in a sense it doesn't know about the Corona virus.
Lex Fridman (1:40:33.660)
So what he seeded it with was just a short description about like, um, a novel virus,
Grant Sanderson (1:40:37.800)
uh, emerges in Wuhan, China and starts to spread around the globe.
Lex Fridman (1:40:41.580)
What follows is a month by month description of what happens, January, colon, right?
Grant Sanderson (1:40:46.500)
That's what he sees it with.
Lex Fridman (1:40:47.500)
So then what GPT three generates is like January, then a paragraph of description, February
Lex Fridman (1:40:51.440)
and such.
Lex Fridman (1:40:52.640)
And it's the funniest thing you'll ever read because, um, it predicts a zombie apocalypse,
Grant Sanderson (1:40:58.240)
which of course it would because it's trained on like the internet, the stories, but what
Lex Fridman (1:41:02.960)
you see unfolding is a description of COVID 19 if it were a zombie apocalypse.
Lex Fridman (1:41:08.240)
And like the early aspects of it are kind of shockingly in line with what's reasonable
Lex Fridman (1:41:12.680)
and then it gets out of hand so quickly.
Lex Fridman (1:41:14.880)
And the other flip side of that is, uh, I wouldn't be surprised if it's onto something
Grant Sanderson (1:41:19.600)
at some point here when, you know, 2020 has been full of surprises, who knows, like we
Grant Sanderson (1:41:25.360)
might all be in like this crazy militarized zone as it predicts just a couple of months
Lex Fridman (1:41:30.880)
off.
Grant Sanderson (1:41:31.880)
Yeah.
Lex Fridman (1:41:32.880)
I think there's definitely an interesting tool of storytelling.
Grant Sanderson (1:41:36.220)
It has struggled with mathematics, which is interesting, or in just even numbers, it's
Grant Sanderson (1:41:40.800)
able to, it's not able to generate like patterns, you know, like you give it, um, in like five
Grant Sanderson (1:41:49.280)
digit numbers and it's not able to figure out the sequence, you know, or like, um, I
Grant Sanderson (1:41:55.560)
didn't look in too much, but I'm talking about like sequences, like the Fibonacci numbers
Lex Fridman (1:42:00.000)
and to see how far it can go because obviously it's leveraging stuff from the internet and
Grant Sanderson (1:42:04.480)
it starts to lose it, but it is also cool that I've seen it able to generate some interesting
Grant Sanderson (1:42:09.400)
patterns, um, that are mathematically correct.
Lex Fridman (1:42:12.120)
Yeah.
Grant Sanderson (1:42:13.120)
I honestly haven't dug into like what's going on within it, uh, in a way that I can speak
Grant Sanderson (1:42:18.440)
intelligently to, I guess it doesn't surprise me that it's bad at numerical patterns because
Grant Sanderson (1:42:24.040)
I mean, maybe I should be more impressed with it, but like that requires having, um, a weird
Lex Fridman (1:42:30.960)
combination of intuitive and, uh, and formulaic worldview.
Lex Fridman (1:42:35.560)
So you're not just going off of intuition.
Grant Sanderson (1:42:37.320)
When you see Fibonacci numbers, you're not saying like intuitively, what do I think will
Lex Fridman (1:42:39.940)
follow the 13?
Lex Fridman (1:42:40.940)
Like I've seen patterns a lot where like 13s are followed by 21s instead.
Grant Sanderson (1:42:45.640)
It's the, like the way you're starting to see a shape of things is by knowing what hypotheses
Grant Sanderson (1:42:50.480)
to test where you're saying, oh, maybe it's generated based on the previous terms or maybe
Grant Sanderson (1:42:54.480)
it's generated based on like multiplying by a constant or whatever it is you like have
Grant Sanderson (1:42:58.000)
a bunch of different hypotheses and your intuitions are around those hypotheses, but you still
Grant Sanderson (1:43:01.760)
need to actively test it.
Grant Sanderson (1:43:04.240)
Um, and it seems like GPT three is extremely good at, um, like that sort of pattern matching
Grant Sanderson (1:43:10.100)
recognition that usually is very hard for computers.
Grant Sanderson (1:43:13.360)
That is what humans get good at through expertise and exposure to lots of things.
Grant Sanderson (1:43:17.520)
It's why it's good to learn from as many examples as you can rather than just from the definitions
Grant Sanderson (1:43:21.920)
it's to get that level of intuition, but to actually concretize it into a piece of math,
Grant Sanderson (1:43:27.640)
you do need to, um, like test your hypotheses and if not prove it, um, like have an actual
Lex Fridman (1:43:33.600)
explanation for what's going on, not just a, uh, a pattern that you've seen.
Grant Sanderson (1:43:37.800)
Yeah.
Grant Sanderson (1:43:38.800)
And, but then the flip side to play devil's advocate, that's a very kind of probably correct
Grant Sanderson (1:43:43.920)
intuitive understanding of just like we said, a few, a few layers creating abstractions,
Lex Fridman (1:43:49.400)
but it's been able to form something that looks like, uh, a compression of the data
Grant Sanderson (1:43:58.080)
that it's seen that looks awfully a lot like it understands what the heck it's talking
Lex Fridman (1:44:02.240)
about.
Grant Sanderson (1:44:03.240)
Well, I think a lot of understanding is like, I don't mean to denigrate pattern recognition.
Grant Sanderson (1:44:08.080)
Pattern recognition is most of understanding and it's super important and it's super hard.
Grant Sanderson (1:44:12.320)
Um, and so like when it's demonstrating this kind of real understanding, compressing down
Lex Fridman (1:44:16.640)
some data, like that, that might be pattern recognition at its finest.
Grant Sanderson (1:44:20.720)
My only point would be that like what differentiates math, I think to a large extent is that, um,
Grant Sanderson (1:44:27.480)
the pattern recognition isn't sufficient and that the kind of patterns that you're recognizing
Grant Sanderson (1:44:32.040)
are not like the end goals, but instead they're, they are the little bits and paths that get
Lex Fridman (1:44:37.400)
you to the end goal.
Grant Sanderson (1:44:39.520)
That's certainly true for mathematics in general.
Grant Sanderson (1:44:41.560)
It's an interesting question if that might, uh, for certain kinds of series of numbers,
Grant Sanderson (1:44:47.240)
it might not be true.
Grant Sanderson (1:44:48.360)
Like you might, um, because that's a basic, you know, like Taylor's like certain kinds
Grant Sanderson (1:44:53.780)
of series, it feels like compressing the internet, uh, is, is enough to figure out because those
Lex Fridman (1:45:01.920)
patterns in some form appear in the text somewhere.
Grant Sanderson (1:45:05.360)
Yeah.
Grant Sanderson (1:45:06.360)
Well, I mean, there's, uh, there's all sorts of wonderful examples of false patterns in
Grant Sanderson (1:45:09.120)
math where, um, one of the earliest videos I put on the channel was talking about the
Lex Fridman (1:45:13.320)
extent of dividing a circle up using these chords.
Lex Fridman (1:45:15.640)
And you see this pattern of one, two, four, eight, 16, I was like, okay, pretty easy to
Lex Fridman (1:45:20.180)
see what that pattern is.
Grant Sanderson (1:45:21.180)
It's powers of two.
Lex Fridman (1:45:22.180)
You've seen it a million times.
Grant Sanderson (1:45:23.680)
Um, but it's not powers of two.
Lex Fridman (1:45:25.800)
The next term is 31.
Lex Fridman (1:45:27.760)
And so it's like almost a power of two, but it's a little bit shy.
Lex Fridman (1:45:30.840)
And there's, there's actually a very good explanation for what's going on.
Grant Sanderson (1:45:33.640)
Um, but I think it's a good test of whether you're thinking clearly about mechanistic
Grant Sanderson (1:45:40.400)
explanations of things, how quickly you jump to thinking it must be powers of two because
Grant Sanderson (1:45:44.520)
the problem itself, there's really no, no good way to, I mean, there can't be a good
Grant Sanderson (1:45:49.560)
way to think about it as like doubling a set because ultimately it doesn't, but even before
Grant Sanderson (1:45:53.920)
it starts to, it's not something that screams out as being a doubling phenomenon.
Lex Fridman (1:45:58.520)
So at best, if it did turn out to be powers of two, it would have only been so very subtly.
Lex Fridman (1:46:03.000)
And I think the difference between like, you know, a math student making the mistake and
Grant Sanderson (1:46:06.240)
a mathematician who's experienced seeing that kind of pattern is that they, they'll have
Grant Sanderson (1:46:10.280)
a sense from what the problem itself is, whether the pattern that they're observing is reasonable
Lex Fridman (1:46:15.440)
and how to test it.
Lex Fridman (1:46:16.940)
And like, uh, I w I would just be very impressed if there was any algorithm that, um, was actively
Lex Fridman (1:46:23.440)
accomplishing that goal.
Grant Sanderson (1:46:24.920)
Yeah.
Lex Fridman (1:46:25.920)
Like a learning base algorithm.
Grant Sanderson (1:46:26.920)
Yeah.
Lex Fridman (1:46:27.920)
Like a little scientist, I guess.
Grant Sanderson (1:46:29.920)
Basically.
Lex Fridman (1:46:30.920)
Yeah.
Grant Sanderson (1:46:31.920)
That's a fascinating thought because GPT three, these language models are already accomplishing
Lex Fridman (1:46:36.840)
way more than I've expected.
Lex Fridman (1:46:38.600)
So I'm learning not to doubt, but we'll get there.
Lex Fridman (1:46:42.840)
Yeah.
Grant Sanderson (1:46:43.840)
I, I, I'm not saying I'd be impressed, but like surprised, like I'll be impressed, but
Lex Fridman (1:46:46.840)
I think we'll get there on, um, algorithms doing math like that.
Lex Fridman (1:46:52.680)
So one of the amazing things you've done for the world is to some degree, open sourcing
Grant Sanderson (1:47:00.520)
the tooling that you use to make your videos with Madam, uh, this Python library.
Grant Sanderson (1:47:08.000)
Now it's quickly evolving because I think you're inventing new things every time you
Lex Fridman (1:47:11.480)
make a video.
Grant Sanderson (1:47:12.480)
In fact, I wanted, um, I've been working on playing around with something.
Lex Fridman (1:47:17.600)
I wanted to do like an ode to three blue on Brown.
Grant Sanderson (1:47:20.160)
Like I love playing Hendrix.
Grant Sanderson (1:47:22.200)
I wanted to do like a cover, you know, of a concept I wanted to visualize and use Madam.
Lex Fridman (1:47:27.440)
And I saw that you had like a little piece of code on like Mobia strip and I tried to
Grant Sanderson (1:47:31.920)
do some cool things with spinning a Mobia strip, like continue, um, twisting it, I guess
Grant Sanderson (1:47:39.240)
is the term, uh, and it was easier to, uh, it was tough.
Lex Fridman (1:47:44.640)
So I haven't figured it out yet.
Grant Sanderson (1:47:45.640)
Well, so I guess the question I want to ask is so many people love it, uh, that you've
Lex Fridman (1:47:50.760)
put that out there.
Grant Sanderson (1:47:51.760)
They want to, uh, do the same thing as I do with Hendrix and want to cover it.
Lex Fridman (1:47:54.920)
They want to explain an idea using the tool, including Russ.
Lex Fridman (1:47:58.360)
How would you recommend they try to, I'm very sorry.
Grant Sanderson (1:48:02.420)
They try to go, they try to go by, uh, about it and what kind of choices should they choose
Lex Fridman (1:48:11.280)
to be most effective?
Lex Fridman (1:48:13.360)
That I can answer.
Lex Fridman (1:48:14.360)
So I always feel guilty if this comes up because, um, I think of it like this scrappy tool.
Lex Fridman (1:48:19.540)
It's like a math teacher who put together some code.
Grant Sanderson (1:48:22.320)
People asked what it was, so they made it open source and they kept scrapping it together.
Lex Fridman (1:48:26.240)
And there's a lot, like a lot of things about it that make it harder to work with than it
Grant Sanderson (1:48:29.400)
needs to be that are a function of like me not being a software engineer.
Grant Sanderson (1:48:33.040)
Um, I, I've, I've put some work this year trying to like make it better and more flexible.
Grant Sanderson (1:48:39.160)
Um, that is still just kind of like a work in process.
Grant Sanderson (1:48:43.360)
Um, one thing I would love to do is just get my act together about properly integrating
Grant Sanderson (1:48:48.280)
with what like the community wants to work with and like what stuff I work on and making
Grant Sanderson (1:48:53.420)
that, um, not like deviate, uh, and just like actually fostering that community in a way
Grant Sanderson (1:48:58.520)
that I've, I've been like shamefully neglectful of.
Lex Fridman (1:49:01.160)
So I'm just always guilty if it comes up.
Lex Fridman (1:49:03.220)
So let's put that guilt aside, just kind of Zen, like I'll pretend like it isn't terrible
Lex Fridman (1:49:08.080)
for someone like Russ.
Grant Sanderson (1:49:09.400)
Um, I think step one is like, make sure that what you're animating should be done so programmatically
Lex Fridman (1:49:14.240)
because a lot of things maybe shouldn't.
Grant Sanderson (1:49:16.320)
Um, like if you're just making a quick graph of something, uh, if it's a graphical intuition
Grant Sanderson (1:49:20.960)
that maybe has a little motion to it, use Desmos, use grapher, use GeoGebra, use Mathematica,
Grant Sanderson (1:49:26.840)
certain things that are like really oriented around graph.
Lex Fridman (1:49:28.640)
GeoGebra is kind of cool.
Grant Sanderson (1:49:29.640)
I did super amazing.
Lex Fridman (1:49:31.240)
You can get very, very far with it.
Grant Sanderson (1:49:33.280)
Um, and in a lot of ways, like it would make more sense for STEM stuff that I do to just
Grant Sanderson (1:49:37.680)
do in GeoGebra, but I kind of have this cycle of liking to try to improve man and by doing
Grant Sanderson (1:49:42.080)
videos and such.
Lex Fridman (1:49:43.080)
So, uh, do as I say, not as I do.
Grant Sanderson (1:49:45.760)
The original like thought I had in making manum was that there's so many different ways
Grant Sanderson (1:49:49.640)
of representing functions other than graphs, um, in particular things like transformations,
Grant Sanderson (1:49:55.000)
like use movement over time to communicate relationships between inputs and outputs instead
Grant Sanderson (1:49:59.680)
of like estimate direction and Y direction, um, or like vector fields or things like that.
Lex Fridman (1:50:04.520)
So I wanted something that was flexible enough that you didn't feel constrained into a graphical
Lex Fridman (1:50:08.280)
environment.
Grant Sanderson (1:50:09.280)
Um, by graphical, I mean like graphs with like X coordinate, Y coordinate kind of stuff,
Lex Fridman (1:50:15.520)
but also make sure that, um, you're taking advantage of the fact that it's programmatic.
Grant Sanderson (1:50:20.720)
You have loops, you have conditionals, you have abstraction.
Grant Sanderson (1:50:23.600)
If any of those are like well fit for what you want to teach to, you know, have a scene
Grant Sanderson (1:50:27.560)
type that you tweak a little bit based on parameters or to have conditional so that
Grant Sanderson (1:50:31.500)
things can go one way or another or loops so that you can create these things of like
Grant Sanderson (1:50:34.880)
arbitrarily increasing complexity.
Lex Fridman (1:50:37.000)
That's the stuff that's like meant to be animated programmatically.
Grant Sanderson (1:50:39.680)
If it's just like writing some text on the screen or shifting around objects or something
Lex Fridman (1:50:43.720)
like that, um, things like that, you should probably just use keynote, right?
Grant Sanderson (1:50:48.280)
Um, you'd be a lot simpler.
Grant Sanderson (1:50:50.120)
So, uh, try to find a workflow that distills down that which should be programmatic into
Grant Sanderson (1:50:55.100)
manum and that which doesn't need to be into like other domains.
Lex Fridman (1:50:58.280)
Again, do as I say, not as I do.
Grant Sanderson (1:51:01.240)
I mean, Python is an integral part of it.
Grant Sanderson (1:51:03.840)
Just for the fun of it, let me ask, uh, what, uh, what's your most and least favorite aspects
Lex Fridman (1:51:09.480)
of Python?
Lex Fridman (1:51:10.480)
Ooh, most and least.
Grant Sanderson (1:51:12.600)
I mean, I love that it's like object oriented and functional, I guess that you can kind
Lex Fridman (1:51:18.040)
of like get both of those, um, uh, benefits for how you structure things.
Lex Fridman (1:51:23.960)
So if you would just want to quickly whip something together, the functional aspects
Lex Fridman (1:51:26.760)
are nice.
Grant Sanderson (1:51:27.760)
It's your primary language, like for programmatically generating stuff.
Lex Fridman (1:51:31.160)
Yeah.
Grant Sanderson (1:51:32.160)
It's home for me.
Lex Fridman (1:51:33.160)
It's home.
Grant Sanderson (1:51:34.160)
Yeah.
Lex Fridman (1:51:35.160)
Sometimes you travel, but it's home.
Grant Sanderson (1:51:36.160)
Got it.
Lex Fridman (1:51:37.160)
It's home.
Grant Sanderson (1:51:38.160)
Uh, I mean, the biggest disadvantage is that it's slow.
Lex Fridman (1:51:39.360)
So when you're doing computationally intensive things, either you have to like think about
Grant Sanderson (1:51:42.840)
it more than you should how to make it efficient or it just like takes long.
Lex Fridman (1:51:47.400)
Do you run into that at all?
Lex Fridman (1:51:48.720)
Like with your work?
Grant Sanderson (1:51:49.720)
Well, so, uh, certainly old man is like way slower than it needs to be because of, uh,
Lex Fridman (1:51:54.840)
how it renders things on the backend is like kind of absurd.
Grant Sanderson (1:51:58.640)
I've rewritten things such that it's all done with like shaders in such a way that it should
Grant Sanderson (1:52:02.760)
be just like live and actually like interactive while you're coding it.
Grant Sanderson (1:52:06.680)
If you want to, to have like a 3d scene, you can move around, you can, um, have, um, elements
Grant Sanderson (1:52:12.200)
respond to where your mouse is or things.
Grant Sanderson (1:52:14.240)
That's not something that user of a video is going to get to experience cause there's
Grant Sanderson (1:52:17.860)
just a play button and a pause button.
Lex Fridman (1:52:19.360)
But while you're developing, that can be nice.
Grant Sanderson (1:52:21.280)
Um, so it's gotten better in speed in that sense, but that's basically because the hard
Lex Fridman (1:52:25.480)
work is being done in the language that's not Python, but GLSL, right?
Grant Sanderson (1:52:29.840)
Um, but yeah, there are some times when it's like a, um, there's just a lot of data that
Grant Sanderson (1:52:35.120)
goes into the object that I want to animate that then it just like Python is slow.
Grant Sanderson (1:52:40.000)
Well, let me ask, quickly ask, what do you think about the walrus operator, if you're
Lex Fridman (1:52:44.640)
familiar with it at all?
Grant Sanderson (1:52:46.040)
The reason it's interesting, there's a new operator in Python 3.8.
Grant Sanderson (1:52:49.680)
I find it psychologically interesting cause it, the toxicity over it led Guido to resign
Grant Sanderson (1:52:54.760)
the step down from this.
Lex Fridman (1:52:55.760)
Is that actually true?
Grant Sanderson (1:52:56.760)
Or was it like, there's a bunch of surrounding things that also, was it actually the walrus
Lex Fridman (1:53:00.700)
operator that, that.
Grant Sanderson (1:53:02.200)
Well, it was, it was a text, it was an accumulation of toxicity, but that was the, the most, that
Lex Fridman (1:53:08.320)
was the most toxic one, like the discussion.
Grant Sanderson (1:53:11.640)
That's the most number of Python core developers that were opposed to Guido's decision.
Lex Fridman (1:53:16.480)
Um, he didn't particularly, I don't think cared about it either way.
Grant Sanderson (1:53:20.500)
He just thought it was a good idea.
Lex Fridman (1:53:21.680)
This is where you approve it.
Lex Fridman (1:53:23.580)
And like the structure of the idea of a BDFL is like you listen to everybody, hear everybody
Lex Fridman (1:53:30.000)
out.
Grant Sanderson (1:53:31.000)
You make a decision and you move forward.
Lex Fridman (1:53:33.400)
And he didn't like the negativity that burdened him after that.
Grant Sanderson (1:53:37.600)
People like some parts of the benevolent dictator for life mantra, but once the dictator does
Lex Fridman (1:53:41.520)
things different than you want, suddenly dictatorship doesn't seem so great.
Grant Sanderson (1:53:44.840)
Yeah.
Lex Fridman (1:53:45.840)
I mean, they still liked it.
Grant Sanderson (1:53:46.840)
He just couldn't because he truly is the bee in the benevolent.
Lex Fridman (1:53:50.680)
He's really, he really is a nice guy.
Grant Sanderson (1:53:52.520)
He, I mean, and I think he can't, it's a lot of toxicity.
Lex Fridman (1:53:56.880)
It's difficult.
Grant Sanderson (1:53:57.880)
It's a difficult job.
Lex Fridman (1:53:58.880)
And that's why Linus Torvalds is perhaps the way he is.
Grant Sanderson (1:54:01.480)
You have to have a thick skin to fight off, fight off the warring masses.
Grant Sanderson (1:54:06.920)
It's kind of surprising to me how many people can like threatened to murder each other over
Grant Sanderson (1:54:11.380)
whether we should have braces or not, or like it's incredible.
Lex Fridman (1:54:15.360)
Yeah.
Grant Sanderson (1:54:16.360)
I mean, that's my knee jerk reaction to the walrus operators.
Lex Fridman (1:54:18.160)
Like I don't actually care that much either way.
Grant Sanderson (1:54:20.080)
I'm not going to get personally passionate.
Grant Sanderson (1:54:22.280)
My initial reaction was like, yeah, this seems to make things more confusing to read.
Lex Fridman (1:54:26.440)
But then again, so does list comprehension until you're used to it.
Lex Fridman (1:54:29.300)
So like if there's a use for it, great, if not great, but like, let's just all calm down
Grant Sanderson (1:54:33.880)
about our spaces versus tabs debates here and like, be chill.
Lex Fridman (1:54:37.840)
Yeah.
Grant Sanderson (1:54:38.840)
To me, it just represents the value of great leadership, even in open source communities.
Lex Fridman (1:54:44.240)
Does it represent that if he stepped down as a leader?
Grant Sanderson (1:54:46.640)
Well, he fought for it.
Lex Fridman (1:54:48.120)
No, he got it passed.
Grant Sanderson (1:54:49.600)
I guess, but I guess, I could represent multiple things too.
Grant Sanderson (1:54:54.000)
It can represent like failed dictatorships or it can, it can represent a lot of things,
Lex Fridman (1:54:59.320)
but to me, great leaders take risks.
Lex Fridman (1:55:03.120)
Even if it, even if it's a mistake at the end, like you have to make decisions.
Grant Sanderson (1:55:09.140)
The thing is this world won't go anywhere.
Grant Sanderson (1:55:11.760)
If you constantly, if whenever there's a divisive thing, you wait until the division is no longer
Grant Sanderson (1:55:17.320)
there.
Grant Sanderson (1:55:18.320)
Like that's the paralysis we experienced with like Congress and political systems.
Grant Sanderson (1:55:22.560)
It's good to be slow when there's indecision, when there's people disagree, it's good to
Lex Fridman (1:55:28.800)
take your time.
Lex Fridman (1:55:29.880)
But like at a certain point it results in paralysis and you just have to make a decision.
Grant Sanderson (1:55:34.020)
The background of the site, whether it's yellow, blue, or red can cause people to like go to
Grant Sanderson (1:55:40.040)
war over each other, which I've seen this with design.
Grant Sanderson (1:55:43.080)
People are very touch on color, color choices at the end of the day, just make a decision
Lex Fridman (1:55:49.520)
and go with it.
Lex Fridman (1:55:50.520)
And that, that's what the Walrus operator represents to me is it represents the fighter
Grant Sanderson (1:55:55.400)
pilot instinct of like quick action is more important than, than just like hearing everybody
Lex Fridman (1:56:01.720)
out and really think it through it because that's going to lead to paralysis.
Grant Sanderson (1:56:05.600)
Yeah.
Grant Sanderson (1:56:06.600)
Like if that's the actual case that, you know, it's something where he's consciously hearing
Grant Sanderson (1:56:10.800)
people's disagreement, disagreeing with that disagreement and saying he wants to move forward
Lex Fridman (1:56:16.280)
anyway, that's an admirable aspect of leadership.
Lex Fridman (1:56:21.160)
So we don't have much time, but I want to ask just cause it's some beautiful mathematics
Lex Fridman (1:56:26.520)
involved.
Grant Sanderson (1:56:27.520)
2020 brought us a couple of in the physics world theories of everything, Eric Weinstein
Grant Sanderson (1:56:35.360)
kind of, I mean, it's been working for probably decades, but he put out this idea of geometric
Grant Sanderson (1:56:41.120)
unity or started sort of publicly thinking and talking about it more, Steven Wolfram
Grant Sanderson (1:56:46.720)
put out his physics project, which is kind of this hypergraph view of a theory of everything.
Lex Fridman (1:56:53.560)
Do you find interesting, beautiful things to these theories of everything?
Lex Fridman (1:56:58.920)
What do you think about the physics world and sort of the beautiful, interesting, insightful
Grant Sanderson (1:57:04.520)
mathematics in that world, whether we're talking about quantum mechanics, which you touched
Grant Sanderson (1:57:09.600)
on in a bunch of your videos a little bit, quaternions, like just the mathematics involved
Grant Sanderson (1:57:13.840)
or the general relativity, which is more about surfaces and topology, all that stuff.
Grant Sanderson (1:57:19.360)
Well, I think, um, as far as like popularized science is concerned, people are more interested
Grant Sanderson (1:57:25.160)
in theories of everything than they should be like, cause the problem is whether we're
Grant Sanderson (1:57:29.640)
talking about trying to make sense of Weinstein's lectures or Wolfram's project, or let's just
Grant Sanderson (1:57:34.520)
say like listening to, uh, Witten talk about string theory, whatever proposed path to a
Lex Fridman (1:57:40.000)
theory of everything, um, you're not actually going to understand it.
Grant Sanderson (1:57:44.120)
Some physicists will, but like, you're just not actually going to understand the substance
Lex Fridman (1:57:48.120)
of what they're saying.
Lex Fridman (1:57:49.240)
What I think is way, way more productive is, um, to let yourself get really interested
Grant Sanderson (1:57:53.520)
in the phenomena that are still deep, but which you have a chance of understanding because
Grant Sanderson (1:57:58.320)
the path to getting to like even understanding what questions these theories of everything
Grant Sanderson (1:58:02.300)
are trying to answer involves like walking down that, um, I mean, I was watching a video
Grant Sanderson (1:58:06.680)
before I came here about from Steve mold talking about, um, why sugar polarizes light in a
Lex Fridman (1:58:11.480)
certain way.
Lex Fridman (1:58:12.740)
So fascinating, like really, really interesting.
Grant Sanderson (1:58:15.400)
It's not like this novel theory of everything type thing, but to understand what's going
Grant Sanderson (1:58:19.800)
on there really requires digging in in depth to certain ideas.
Lex Fridman (1:58:23.480)
And if you let yourself think past what the video tells you about what does circularly
Grant Sanderson (1:58:27.440)
polarized light mean and things like that, it actually would get you to a pretty good
Grant Sanderson (1:58:31.160)
appreciation of like two state states and quantum systems, um, in a way that just trying
Grant Sanderson (1:58:36.280)
to read about like, Oh, what's the, um, what are the hard parts about resolving quantum
Lex Fridman (1:58:40.920)
field theories with general relativity is never going to get you.
Lex Fridman (1:58:44.400)
So as far as popularizing science is concerned, like the audience should be less interested
Lex Fridman (1:58:50.340)
than they are in theories of everything.
Grant Sanderson (1:58:52.720)
Um, the popularizers should be less emphatic than they are about that for like actual practicing
Lex Fridman (1:58:59.360)
physicists.
Lex Fridman (1:59:00.360)
And that might be the case.
Grant Sanderson (1:59:01.360)
Maybe more people should think about fundamental questions, but it's difficult to create, uh,
Grant Sanderson (1:59:06.040)
like a three blue, one brown video on the theory of everything.
Lex Fridman (1:59:09.600)
So basically we should really try to find the beauty in mathematics or physics by looking
Grant Sanderson (1:59:16.040)
at concepts that are like within reach.
Lex Fridman (1:59:18.440)
Yeah, I think that's super important.
Grant Sanderson (1:59:20.320)
I mean, so you see this in math too with, um, the big unsolved problems.
Lex Fridman (1:59:25.360)
So like the clay millennium problems, Riemann hypothesis, um, have you ever done a video
Lex Fridman (1:59:29.400)
on Fermat's last theorem?
Lex Fridman (1:59:30.400)
No, I have not yet.
Grant Sanderson (1:59:31.720)
No.
Lex Fridman (1:59:32.720)
But if I did, do you know what I would do?
Grant Sanderson (1:59:34.120)
I would talk about, um, proving Fermat's last theorem in the specific case of N equals
Lex Fridman (1:59:38.720)
three.
Grant Sanderson (1:59:39.720)
Okay.
Lex Fridman (1:59:40.720)
Is that still accessible though?
Grant Sanderson (1:59:41.720)
Yes.
Lex Fridman (1:59:42.720)
Actually barely.
Grant Sanderson (1:59:43.720)
Um, Mathologer might be able to do like a great job on this.
Grant Sanderson (1:59:46.160)
He does a good job of taking stuff that's barely accessible and making it, but the,
Grant Sanderson (1:59:50.480)
the core ideas of proving it for N equals three are hard, but they do get you real ideas
Lex Fridman (1:59:55.280)
about algebraic number theory.
Lex Fridman (1:59:56.960)
And it involves looking at a number field that's, uh, it lives in the complex plane.
Grant Sanderson (20:02.160)
it such that it's all above the plane, but it's boundary sits exactly on the plane.
Grant Sanderson (20:08.120)
I don't think I can do that without crossing itself, but that feels really vague.
Lex Fridman (20:11.320)
How do I formalize it?
Lex Fridman (20:12.320)
And as you're starting to formalize that, that's what's going to get you to try to come
Lex Fridman (20:16.480)
up with a definition for what it means to be orientable or non orientable.
Lex Fridman (20:19.760)
And like once you have that motivation, a lot of the otherwise arbitrary things that
Grant Sanderson (20:22.920)
are sitting at the very beginning of a topology stack textbook start to make a little more
Grant Sanderson (20:26.560)
sense.
Lex Fridman (20:27.560)
Yeah.
Lex Fridman (20:28.560)
And I mean that, that whole video beautifully was a motivation for topology school.
Grant Sanderson (20:32.400)
That was my, well, my hope with that is I feel like topology is, um, I don't want to
Grant Sanderson (20:36.400)
say it's taught wrong, but I do think sometimes it's popularized in the wrong way where, uh,
Grant Sanderson (20:41.920)
you know, you'll hear these things that people saying, Oh, topologists, they're very interested
Grant Sanderson (20:44.920)
in surfaces that you can bend and stretch, but you can't cut or glue.
Lex Fridman (20:50.180)
Are they?
Lex Fridman (20:51.180)
Why?
Lex Fridman (20:52.180)
Yeah.
Grant Sanderson (20:53.180)
There's all sorts of things you can be interested in with random, like imaginative manipulations
Lex Fridman (20:56.780)
of things.
Lex Fridman (20:57.780)
Is that really what like mathematicians are into?
Lex Fridman (21:00.200)
And the short answer is not, not really.
Grant Sanderson (21:03.120)
That's uh, it's not as if someone was sitting there thinking like, I wonder what the properties
Grant Sanderson (21:07.580)
of clay are by add some arbitrary rules about what, when I can't cut it and when I can't
Grant Sanderson (21:12.120)
glue it instead, it's, there's a ton of pieces of math that, um, can actually be equivalent
Grant Sanderson (21:18.680)
to, uh, like these very general structures that's like geometry, except you don't have
Grant Sanderson (21:23.200)
exact distances.
Lex Fridman (21:24.200)
You just want to maintain a notion of closeness.
Lex Fridman (21:26.400)
And once you get it to those general structures, constructing mappings between them translate
Grant Sanderson (21:31.400)
into non trivial facts about other parts of math and that I just, I don't think that's
Grant Sanderson (21:36.360)
actually like popularized.
Grant Sanderson (21:38.040)
Um, I don't even think it's emphasized well enough when you're starting to take a topology
Grant Sanderson (21:41.640)
class because you kind of have these two problems.
Lex Fridman (21:43.560)
It's like either it's too squishy.
Grant Sanderson (21:45.320)
You're just talking about coffee mugs and donuts, or it's a little bit too rigor first.
Lex Fridman (21:49.720)
And you're talking about, um, the axiom systems with open sets and an open set is not the
Grant Sanderson (21:55.280)
opposite of closed set.
Lex Fridman (21:56.600)
So sorry about that.
Grant Sanderson (21:57.600)
Everyone, we have a notion of clopin sets for ones that are both at the same time.
Lex Fridman (22:01.800)
Yeah.
Grant Sanderson (22:02.800)
It's just, it's not, it's not an intuitive axiom system in comparison to other fields
Lex Fridman (22:06.860)
of math.
Lex Fridman (22:07.860)
So you as the student like really have to walk through mud to get there and you're constantly
Grant Sanderson (22:11.140)
confused about how this relates to the beautiful things about coffee mugs and Mobius strips
Lex Fridman (22:15.240)
and such.
Lex Fridman (22:16.240)
And it takes a really long time to actually see like see topology in the way that mathematicians
Grant Sanderson (22:21.140)
see topology.
Lex Fridman (22:22.400)
But I don't think it needs to take that time.
Grant Sanderson (22:23.840)
I think there's, um, this is making me feel like I need to make more videos on the topic
Lex Fridman (22:27.800)
because I think you do, but you know, I've also seen it in my narrow view.
Grant Sanderson (22:32.760)
Uh, like, um, I find game theory very beautiful and I know topology has been used, uh, elegantly
Lex Fridman (22:39.840)
to prove things in game theory.
Grant Sanderson (22:41.320)
Yeah.
Lex Fridman (22:42.320)
You have like facts that seem very strange.
Grant Sanderson (22:43.760)
Like I could tell you, you stir your coffee and um, after you stir it and like, let's
Grant Sanderson (22:47.920)
say all the molecules settled to like not moving again, one of the molecules will be
Grant Sanderson (22:51.040)
basically in the same position it was before.
Lex Fridman (22:53.360)
Um, you have all sorts of fixed point theorems like this, right?
Lex Fridman (22:57.200)
That kind of fixed point theorem directly relevant to Nash equilibriums, right?
Grant Sanderson (23:01.320)
Um, so you can imagine popularizing it by describing the coffee fact, but then you're
Lex Fridman (23:05.680)
left to wonder like who cares about if a molecule of coffee like stays in the same spot?
Lex Fridman (23:09.160)
Is this what we're paying our mathematicians for?
Grant Sanderson (23:11.160)
Um, you have this very elegant mapping onto economics in a way that's very concrete or
Grant Sanderson (23:15.640)
very, I shouldn't say concrete, very, uh, tangible, like actually adds value to people's
Grant Sanderson (23:20.240)
lives through the predictions that it makes.
Grant Sanderson (23:22.320)
Uh, but that line isn't always drawn because like you have to get a little bit technical
Grant Sanderson (23:26.780)
in order to properly draw that line out, um, and often I think popularized forms of media
Lex Fridman (23:34.160)
just shy away from being a little too technical for sure.
Grant Sanderson (23:37.760)
Uh, by the way, for people who are watching the video, I do not condone the message in
Lex Fridman (23:41.840)
this mug.
Grant Sanderson (23:42.840)
It's the only one I have, which is this.
Lex Fridman (23:44.760)
The snuggle is real.
Grant Sanderson (23:47.360)
By the way, for anyone watching, I do condone the message of that mug.
Lex Fridman (23:50.240)
The snuggle is real.
Grant Sanderson (23:51.240)
The snuggle is real.
Lex Fridman (23:52.240)
Okay, so you mentioned the SIR model.
Grant Sanderson (23:57.160)
I think, uh, there are certain ideas there of growth of exponential growth.
Lex Fridman (24:03.220)
What maybe have you learned about, um, pandemics from, from making that video?
Grant Sanderson (24:11.680)
Because it was kind of exploratory.
Grant Sanderson (24:12.680)
You were kind of building up an intuition and it's, again, people should watch the video.
Grant Sanderson (24:17.680)
It's kind of an abstract view.
Lex Fridman (24:19.160)
It's not really modeling in detail.
Grant Sanderson (24:23.480)
The whole field of epidemiology, those, those people, they go really far in terms of modeling,
Lex Fridman (24:31.440)
like how people move about.
Grant Sanderson (24:32.440)
I don't know if you've seen it, but like there is the mobility patterns, like how, like the
Grant Sanderson (24:37.600)
track, like how many people you encounter in a certain situations when you go to a school,
Grant Sanderson (24:42.560)
when you go to a mall, they like model every aspect of that for a particular city.
Lex Fridman (24:46.400)
Like they have maps of actual city streets.
Grant Sanderson (24:49.880)
They model it really well and natural patterns of the people have it's crazy.
Lex Fridman (24:54.280)
So you don't do any of that.
Grant Sanderson (24:55.280)
You're just doing an abstract model to explore different ideas of simple pedigree.
Grant Sanderson (24:59.400)
Well, because I don't want to pretend like an epidemiologist, I'm an epidemiologist.
Grant Sanderson (25:02.680)
Like we have a ton of armchair epidemiologists and the spirit of that was more like, uh,
Lex Fridman (25:08.440)
can we through a little bit of play, uh, draw like reasonable ish conclusions.
Grant Sanderson (25:12.680)
Um, and also just like, uh, get ourselves in a position where we can judge the validity
Lex Fridman (25:17.680)
of a model.
Grant Sanderson (25:18.680)
Like, I think people should look at that and they should criticize it.
Lex Fridman (25:21.160)
They should point to all the ways that it's wrong because it's definitely naive, right?
Lex Fridman (25:24.640)
And the way that it's set up.
Grant Sanderson (25:25.920)
Um, but to say like what, what lessons from that hold, like thinking about the are not
Grant Sanderson (25:30.480)
value and what that represents and what it can imply.
Grant Sanderson (25:33.720)
Um, so are not is if you are infectious and you're in a population which is completely
Grant Sanderson (25:40.440)
susceptible, uh, what's the average number of people that you're going to infect during
Lex Fridman (25:44.760)
your infectiousness?
Grant Sanderson (25:46.080)
Um, so certainly during the beginning of an epidemic, this basically gives you kind of
Lex Fridman (25:51.280)
the, um, the exponential growth rate.
Grant Sanderson (25:53.280)
Like if every person infects two others, you've got that one, two, four, eight, uh, exponential
Lex Fridman (25:57.280)
growth pattern.
Grant Sanderson (25:58.280)
Um, as it goes on and, uh, let's say it's something, um, uh, endemic where you've got
Grant Sanderson (26:04.280)
like a ton of people who have had it, uh, and are recovered, then, uh, you, you would,
Grant Sanderson (26:10.040)
the are not value doesn't tell you that as directly because a lot of the people you interact
Lex Fridman (26:13.960)
with aren't susceptible, but in the early phases it does.
Grant Sanderson (26:16.880)
Um, and this is like the fundamental constant that it seems like epidemiologists look at
Lex Fridman (26:21.360)
and you know, the whole goal is to get that down.
Grant Sanderson (26:23.460)
If you can get it below one, then it's no longer epidemic.
Grant Sanderson (26:26.560)
If it's equal to one, then it's endemic, um, and it's above one, then your epidemic.
Grant Sanderson (26:30.960)
So, uh, like just teaching what that value is and giving some intuitions on how do certain
Grant Sanderson (26:36.120)
changes in behavior change that value and then what does that imply for exponential
Lex Fridman (26:40.160)
growth?
Grant Sanderson (26:41.160)
I think those are, um, general enough lessons and they're like resilient to all of the
Grant Sanderson (26:47.140)
chaoses of the world, um, that it's still like valid to take from the video.
Grant Sanderson (26:52.400)
I mean, one of the interesting aspects of that is just exponential growth and we think
Grant Sanderson (26:56.040)
about growth.
Grant Sanderson (26:57.040)
Is that the one of the first times you've done a video on, on, uh, no, of course not
Grant Sanderson (27:03.480)
the whole, uh, well there's identity.
Lex Fridman (27:07.360)
Okay.
Grant Sanderson (27:08.360)
So
Lex Fridman (27:09.360)
sure.
Grant Sanderson (27:10.360)
I guess I've done a lot of videos about exponential growth in the circular direction, uh, only
Lex Fridman (27:13.360)
minimal in the normal direction.
Grant Sanderson (27:14.880)
I mean, another way to ask, like, do you think we're able to reason intuitively about exponential
Lex Fridman (27:22.280)
growth?
Grant Sanderson (27:23.280)
It's, it's funny.
Grant Sanderson (27:25.360)
I think it's, um, I think it's extremely intuitive to humans and then we train it out of ourselves
Grant Sanderson (27:30.360)
such that it's then really not intuitive and then I think it can become intuitive again
Lex Fridman (27:33.720)
when you study a technical field.
Grant Sanderson (27:35.200)
Uh, so what I mean by that is, um, have you ever heard of these studies where in a, uh,
Grant Sanderson (27:41.240)
like anthropological setting where you're studying a group that has been disassociated
Grant Sanderson (27:46.000)
from a lot of like modern society and you ask what number is between one and nine and
Grant Sanderson (27:51.760)
maybe you would ask you, you've got like one rock and you've got nine rocks, you're like
Lex Fridman (27:54.600)
what pile is halfway in between these and our instinct is usually to say five.
Lex Fridman (27:59.960)
That's the number that sits right between one and nine.
Grant Sanderson (28:02.000)
Um, but sometimes when a numeracy and, uh, the kind of just basic arithmetic that we
Grant Sanderson (28:07.360)
have isn't in a society, the natural instinct is three because it's, uh, in between in an
Grant Sanderson (28:12.840)
exponential sense and a geometric sense that, uh, one is three times bigger and then the
Lex Fridman (28:16.920)
next one is three times bigger than that.
Lex Fridman (28:18.520)
So it's like, what's, you know, if you have one friend versus a hundred friends, what's
Lex Fridman (28:22.240)
in between that?
Grant Sanderson (28:23.240)
Ten friends seems like the social status in between those two states.
Lex Fridman (28:26.840)
So that's like deeply intuitive to us to think logarithmically like that.
Grant Sanderson (28:30.200)
Um, and for some reason we kind of train it out of ourselves to start thinking linearly
Lex Fridman (28:35.120)
about things.
Lex Fridman (28:36.120)
So in the sense, yeah, the early, early basic math is, uh, yeah, forces us to take a step
Lex Fridman (28:42.240)
back.
Grant Sanderson (28:43.240)
It's, it's the same criticism if there's any of science is the lessons of science make
Grant Sanderson (28:51.160)
us like see the world in a slightly narrow sense to where we, we have an over exaggerated
Grant Sanderson (28:57.760)
confidence that we understand everything as opposed to just understanding a small slice
Lex Fridman (29:02.480)
of it.
Lex Fridman (29:03.560)
But I think that probably only really goes for small numbers cause the real counterintuitive
Lex Fridman (29:07.280)
thing about exponential growth is like as the numbers start to get big.
Lex Fridman (29:10.340)
So I bet if you took that same setup and you asked them, oh, if I keep tripling the size
Lex Fridman (29:14.660)
of this rock pile, you know, um, seven times, how big will it be?
Grant Sanderson (29:18.320)
I bet it would be surprisingly big even to like an a society without numeracy.
Lex Fridman (29:23.680)
And that's the side of it that, um, I think is pretty counterintuitive to us, uh, but
Grant Sanderson (29:28.360)
that you can basically train into people like I think computer scientists and physicists
Grant Sanderson (29:33.320)
when they're looking at the early numbers of, um, like COVID were, they were the ones
Grant Sanderson (29:38.520)
thinking like, oh God, this is following an exact exponential curve.
Grant Sanderson (29:42.080)
Um, and I heard that from a number of people, uh, so it's, and, and almost all of them are
Grant Sanderson (29:47.240)
like techies in some capacity, probably just cause I like live in the Bay area, but, but
Grant Sanderson (29:51.800)
for sure they, they're cognizant of this kind of, this kind of growth is present in a lot
Grant Sanderson (29:56.320)
of natural systems and a lot of, in a lot of, in a lot of systems.
Grant Sanderson (2:00:00.760)
It looks like a hexagonal lattice and you start asking questions about factoring numbers
Grant Sanderson (2:00:04.680)
in this hexagonal lattice.
Lex Fridman (2:00:06.540)
So it takes a while, but I've talked about this sort of like lattice arithmetic, um,
Grant Sanderson (2:00:10.280)
in other contexts and you can get to a okay understanding of that.
Lex Fridman (2:00:15.680)
And the things that make Fermat's last theorem hard are actually quite deep.
Grant Sanderson (2:00:18.720)
Um, and so the cases that we can solve it for, it's like you can get these broad sweeps
Lex Fridman (2:00:23.040)
based on some hard, but like accessible, um, bits of number theory.
Lex Fridman (2:00:28.800)
But before you can even understand why the general case is as hard as it is, you have
Lex Fridman (2:00:32.280)
to walk through those.
Lex Fridman (2:00:33.960)
And so any other attempt to describe it would just end up being like shallow and not really
Lex Fridman (2:00:38.040)
productive for the viewer's time.
Grant Sanderson (2:00:39.840)
Um, I think the same goes for, uh, most like unsolved problem type things where I think,
Grant Sanderson (2:00:45.900)
you know, as a kid, I was actually very inspired by the twin prime conjecture, um, that like
Grant Sanderson (2:00:49.860)
totally sucked me in as this thing that was understandable.
Grant Sanderson (2:00:52.400)
I kind of had this dream like, Oh, maybe I'll be the one to prove the twin prime conjecture
Lex Fridman (2:00:55.960)
and new math that I would learn would be like viewed through this lens of like, Oh, maybe
Lex Fridman (2:01:00.000)
I can apply it to that in some way.
Grant Sanderson (2:01:01.920)
But, uh, you sort of mature to a point where you realize that, uh, you should spend your
Grant Sanderson (2:01:08.280)
brain cycles on problems that you will see resolved because then you're going to grow
Grant Sanderson (2:01:12.920)
to see what it feels like for these things to be resolved rather than spending your brain
Lex Fridman (2:01:16.420)
cycles on something where it's not, it's not going to pan out.
Grant Sanderson (2:01:19.920)
Um, and the people who do make progress towards these things like James Maynard, uh, is a
Grant Sanderson (2:01:24.280)
great example here of like young creative mathematician who like pushes in the direction
Grant Sanderson (2:01:28.960)
of things like the twin prime conjecture rather than hitting that head on, just see all the
Grant Sanderson (2:01:33.040)
interesting questions that are hard for similar reasons, but become more tractable and let
Grant Sanderson (2:01:36.520)
themselves really engage with those.
Lex Fridman (2:01:38.480)
Um, so I think people should get in that habit.
Grant Sanderson (2:01:41.280)
I think the popularization of physics should encourage that habit through things like the
Lex Fridman (2:01:46.160)
physics of simple everyday phenomena, because it can get quite deep.
Lex Fridman (2:01:50.000)
And um, yeah, I think I, you know, I've, I've heard a lot of the interest that, you know,
Grant Sanderson (2:01:54.680)
people send me messages asking to explain Weinstein's thing or asking to explain Wolfram's
Grant Sanderson (2:01:58.880)
thing.
Grant Sanderson (2:01:59.880)
One, I don't understand them, but more importantly, um, it's too big a bite to, you shouldn't
Lex Fridman (2:02:06.400)
be interested in those, right?
Lex Fridman (2:02:08.960)
The giant sort of a ball of interesting ideas.
Grant Sanderson (2:02:12.480)
There's probably a million of interesting ideas in there that individually could be
Lex Fridman (2:02:16.600)
explored effectively.
Lex Fridman (2:02:17.600)
And to be clear, you should be interested in fundamental questions.
Grant Sanderson (2:02:20.080)
I think that's a good habit to ask what the fundamentals of things are, but I think it
Grant Sanderson (2:02:25.160)
takes a lot of steps to like, certainly you shouldn't be trying to answer that unless
Grant Sanderson (2:02:29.480)
you actually understand quantum field theory and you actually understand general relativity.
Grant Sanderson (2:02:33.520)
That's the cool thing about like your videos, people who haven't done mathematics, like
Grant Sanderson (2:02:37.200)
if you really give it time, watch it a couple of times and like try to try to reason about
Grant Sanderson (2:02:42.560)
it, you can actually understand the concept that's being explained.
Lex Fridman (2:02:45.400)
And it's not a coincidence that the things I'm describing aren't like the most, um, up
Grant Sanderson (2:02:49.980)
to date, uh, progress on the Riemann hypothesis cousins or, um, like there's context in which
Grant Sanderson (2:02:55.720)
the analog of the Riemann hypothesis has been solved in like more, uh, discrete feeling
Grant Sanderson (2:03:00.200)
finite settings that are more well behaved.
Lex Fridman (2:03:02.360)
I'm not describing that because it just takes a ton to get there.
Lex Fridman (2:03:05.840)
And instead I think it'll be like productive to have an actual understanding of something
Lex Fridman (2:03:10.800)
that can, you can pack into 20 minutes.
Grant Sanderson (2:03:12.940)
I think that's beautifully put ultimately.
Grant Sanderson (2:03:15.160)
That's where like the most satisfying thing is when you really understand, um, yeah, really
Grant Sanderson (2:03:20.320)
understand, build a habit of feeling what it's like to actually come to resolution.
Lex Fridman (2:03:25.080)
Yeah.
Grant Sanderson (2:03:26.080)
Yeah.
Grant Sanderson (2:03:27.080)
As opposed to, which it can also be enjoyable, but just being in awe of the fact that you
Grant Sanderson (2:03:32.120)
don't understand anything.
Lex Fridman (2:03:33.120)
Yeah.
Grant Sanderson (2:03:34.120)
That's not like, I don't know.
Grant Sanderson (2:03:35.120)
Maybe we'll get entertainment out of that, but it's not as fulfilling as understanding
Grant Sanderson (2:03:40.440)
you won't grow.
Lex Fridman (2:03:41.920)
Yeah.
Grant Sanderson (2:03:42.920)
And, but also just the fulfilling, it really does feel good when you first don't understand
Lex Fridman (2:03:47.560)
something and then you do, that's a beautiful feeling.
Grant Sanderson (2:03:51.040)
Hey, let me ask you one, uh, last, last time we got awkward and weird about, uh, a fear
Grant Sanderson (2:03:57.080)
of mortality, which you made fun of me off, but let me ask you on the, the other absurd
Lex Fridman (2:04:01.600)
question is, um, what do you think is, uh, the meaning of our life of meaning of life?
Lex Fridman (2:04:08.000)
I'm sorry if I made fun of you about, no, you didn't.
Grant Sanderson (2:04:11.160)
I'm just joking.
Lex Fridman (2:04:12.160)
It was great.
Grant Sanderson (2:04:13.160)
I don't think life has a meaning.
Lex Fridman (2:04:15.300)
I think like meaning, I don't understand the question.
Grant Sanderson (2:04:18.560)
I think meaning is something that's described to stuff that's created with purpose.
Grant Sanderson (2:04:22.600)
There's a meaning to, uh, like this water bottle label and that someone created it with
Grant Sanderson (2:04:26.440)
a purpose of conveying meaning.
Lex Fridman (2:04:27.960)
And there was like one consciousness that wanted to get its ideas into another consciousness.
Grant Sanderson (2:04:31.560)
Um, most things don't have that property.
Grant Sanderson (2:04:35.640)
It's a little bit like if I asked you, um, like what is the height, all right, so it's
Grant Sanderson (2:04:41.160)
all relative.
Lex Fridman (2:04:42.160)
Yeah.
Grant Sanderson (2:04:43.160)
You'd be like the height of what you can't ask.
Lex Fridman (2:04:44.840)
What is the height without an object?
Grant Sanderson (2:04:46.600)
You can't ask what is the meaning of life without like an intentful consciousness, putting
Grant Sanderson (2:04:50.880)
it like, I guess I'm revealing I'm not very religious, but you know, the mathematics of
Grant Sanderson (2:04:56.400)
everything seems kind of beautiful.
Grant Sanderson (2:04:58.800)
It seems like, it seems like there's some kind of structure relative to which, I mean,
Grant Sanderson (2:05:05.280)
you could calculate the height.
Lex Fridman (2:05:06.880)
Well, so, but what I'm saying is I don't understand the question.
Lex Fridman (2:05:09.840)
What is the meaning of life in that?
Lex Fridman (2:05:10.840)
I think people might be asking something very real.
Grant Sanderson (2:05:13.680)
I don't understand what they're asking.
Lex Fridman (2:05:14.680)
Are they asking like, why does life exist?
Lex Fridman (2:05:16.800)
Like how did it come about?
Lex Fridman (2:05:17.840)
What are the natural laws?
Lex Fridman (2:05:19.320)
Are they asking, um, as I'm making decisions day by day for what should I do?
Lex Fridman (2:05:23.600)
What is the guiding light that inspires like, what should I do?
Grant Sanderson (2:05:26.240)
I think that's what people are kind of asking.
Lex Fridman (2:05:27.960)
But also like why the thing that gives you joy about education, about mathematics, what
Lex Fridman (2:05:36.160)
the hell is that?
Grant Sanderson (2:05:37.680)
Like what interactions with other people, interactions with like minded people, I think
Grant Sanderson (2:05:41.840)
is the meaning of, in that sense, bringing others joy, essentially, like in something
Grant Sanderson (2:05:46.860)
you've created, it connects with others somehow and the same and the vice versa.
Grant Sanderson (2:05:53.560)
I think that that is what, um, when we use the word meaning to mean like you're sort
Grant Sanderson (2:05:57.460)
of filled with a sense of happiness and energy to create more things, like I have so much
Grant Sanderson (2:06:01.600)
meaning taken from this, like that, yeah, that's what fuels, fuels my pump at least.
Lex Fridman (2:06:06.640)
So a life alone on a desert island would be kind of meaningless.
Grant Sanderson (2:06:10.480)
Yeah.
Lex Fridman (2:06:11.480)
You want to be alone together with someone.
Grant Sanderson (2:06:13.960)
I think we're all alone together.
Lex Fridman (2:06:15.680)
I think there's no better way to end it, Grant.
Grant Sanderson (2:06:18.600)
You've been, first time we talked, it was amazing again, it's a huge honor that you
Lex Fridman (2:06:22.200)
make time for me.
Grant Sanderson (2:06:23.200)
I appreciate talking with you.
Lex Fridman (2:06:24.200)
Thanks, man.
Grant Sanderson (2:06:25.200)
Awesome.
Lex Fridman (2:06:26.200)
Thanks for listening.
Grant Sanderson (2:06:27.200)
Thanks for listening to this conversation with Grant Sanderson.
Lex Fridman (2:06:29.640)
And thank you to our sponsors, Dollar Shave Club, DoorDash, and Cash App.
Grant Sanderson (2:06:34.840)
Click the sponsor links in the description to get a discount and to support this podcast.
Grant Sanderson (2:06:39.000)
If you enjoy this thing, subscribe on YouTube, review it with five stars on Apple Podcast,
Grant Sanderson (2:06:44.520)
follow on Spotify, support on Patreon, or connect with me on Twitter at Lex Friedman.
Lex Fridman (2:06:50.800)
And now let me leave you with some words from Richard Feynman.
Grant Sanderson (2:06:54.240)
I have a friend who's an artist and has sometimes taken a view which I don't agree with very
Lex Fridman (2:06:59.440)
well.
Grant Sanderson (2:07:00.440)
He'll hold up a flower and say, look how beautiful it is, and I'll agree.
Grant Sanderson (2:07:04.960)
Then he says, I as an artist can see how beautiful this is, but you as a scientist take this
Grant Sanderson (2:07:10.800)
all apart and it becomes a dull thing.
Lex Fridman (2:07:13.960)
And I think he's kind of nutty.
Grant Sanderson (2:07:16.240)
First of all, the beauty that he sees is available to other people and to me too, I believe.
Grant Sanderson (2:07:21.560)
Although I may not be quite as refined aesthetically as he is, I can appreciate the beauty of a
Grant Sanderson (2:07:26.960)
flower.
Lex Fridman (2:07:27.960)
At the same time, I see much more about the flower than he sees.
Grant Sanderson (2:07:31.160)
I can imagine the cells in there, the complicated actions inside, which also have a beauty.
Grant Sanderson (2:07:37.040)
I mean, it's not just beauty at this dimension at one centimeter, there's also beauty at
Grant Sanderson (2:07:40.900)
smaller dimensions, the inner structure, also the processes.
Grant Sanderson (2:07:46.280)
The fact that the colors in the flower evolved in order to attract insects to pollinate it
Grant Sanderson (2:07:50.480)
is interesting.
Lex Fridman (2:07:52.040)
It means that insects can see the color.
Grant Sanderson (2:07:54.880)
It adds a question.
Lex Fridman (2:07:56.240)
Does this aesthetic sense also exist in the lower forms?
Lex Fridman (2:07:59.760)
Why is it aesthetic?
Grant Sanderson (2:08:01.320)
All kinds of interesting questions which the science knowledge only adds to the excitement,
Grant Sanderson (2:08:05.920)
the mystery and the awe of a flower.
Lex Fridman (2:08:08.700)
It only adds.
Grant Sanderson (2:08:09.700)
I don't understand how it subtracts.
Lex Fridman (2:08:13.280)
Thank you for listening and hope to see you next time.
Grant Sanderson (30:01.240)
Uh, I don't know if you've seen like, I mean, there's a lot of ways to visualize this obviously,
Lex Fridman (30:04.920)
but Raker as well, I think was the one that had this like chess board where, um, every,
Grant Sanderson (30:12.000)
every square on the chess board, you double the number of stones or something in that
Lex Fridman (30:15.720)
chess board.
Grant Sanderson (30:16.720)
I've heard, this is like an old proverb where it's like, you know, someone, the King offered
Grant Sanderson (30:20.800)
him a gift and he said, ah, the only gift I would like very modest, give me a single
Grant Sanderson (30:24.560)
grain of rice for the first chess board and then two grains of rice for the next square.
Lex Fridman (30:29.800)
Then twice that for the next square and just continue on.
Grant Sanderson (30:32.600)
That's my only modest ask your sire and like, it's all, you know, more grains of rice than
Lex Fridman (30:37.120)
there are, uh, anything in the world, um, by the time you get to the end.
Lex Fridman (30:41.680)
And I, I, my intuition falls apart there, like, I would have never predicted that, like
Grant Sanderson (30:47.960)
for some reason, that's a really compelling, uh, illustration, how poorly breaks down.
Grant Sanderson (30:54.080)
Just like you said, maybe we're okay for the first few piles, but after, uh, of rocks,
Lex Fridman (30:58.280)
but after a while it's game over.
Grant Sanderson (31:00.860)
You know, the other classic example for, um, gauging someone's intuitive understanding
Grant Sanderson (31:04.820)
of exponential growth is, uh, I've got like a Lily pad on a, on like really big lake,
Grant Sanderson (31:10.200)
um, like lake Michigan and that Lily pad replicates, it doubles, um, one day and then it doubles
Lex Fridman (31:16.320)
the next day and it doubles the next day.
Grant Sanderson (31:17.960)
Um, and after 50 days, um, it actually is going to cover the entire lake.
Lex Fridman (31:22.320)
Okay.
Lex Fridman (31:23.320)
So after how many days does it cover half the lake?
Lex Fridman (31:25.840)
49.
Lex Fridman (31:26.840)
So you, you have a good instinct for exponential growth.
Lex Fridman (31:30.600)
Right.
Lex Fridman (31:31.600)
So I think a lot of, uh, like the knee jerk reaction is sometimes to think that it's like
Grant Sanderson (31:35.560)
half the amount of time or to at least be like surprised that like after 49 days, you've
Grant Sanderson (31:41.160)
only covered half of it.
Lex Fridman (31:42.400)
Um, yeah.
Grant Sanderson (31:43.400)
I mean, that's the reason you heard a pause for me.
Lex Fridman (31:46.080)
Um, I literally thought that can't be right.
Grant Sanderson (31:48.440)
Right.
Lex Fridman (31:49.440)
Yeah, exactly.
Lex Fridman (31:50.440)
So even when you know the fact and you do the division, it's like, wow.
Lex Fridman (31:53.480)
So you've gotten like that whole time and then day 49, it's only covering half.
Lex Fridman (31:57.000)
And then after that it gets the whole thing.
Lex Fridman (31:58.940)
But I think you can make that even more visceral if rather than going one day before you say
Lex Fridman (32:02.080)
how long until, um, it's covered 1% of the lake, right.
Lex Fridman (32:06.280)
And it's, uh, so what would that be?
Grant Sanderson (32:08.080)
Um, how many times you have to double to get over a hundred, like seven, six and a half
Lex Fridman (32:12.240)
times, something like that.
Grant Sanderson (32:13.240)
Right.
Lex Fridman (32:14.240)
So at that point you're looking at 43, 44 days into it.
Grant Sanderson (32:17.920)
You're not even at 1% of the lake.
Lex Fridman (32:19.880)
So you've, you've experienced, you know, 44 out of 50 days and you're like, ah, that's
Grant Sanderson (32:23.360)
really bad.
Lex Fridman (32:24.360)
It's just 1% of the lake.
Lex Fridman (32:25.580)
But then next thing you know, it's the entire lake.
Lex Fridman (32:28.760)
You're wearing a space X shirt.
Lex Fridman (32:30.040)
So let me ask you, let me ask you one, one person who talks about exponential, you know,
Lex Fridman (32:38.000)
just the miracle of the exponential function in general is Elon Musk.
Lex Fridman (32:42.700)
So he kind of advocates the idea of exponential thinking, you know, realizing that technological
Grant Sanderson (32:51.720)
development can, at least in the short term, follow exponential improvement, which breaks
Grant Sanderson (32:58.080)
apart our intuition, our ability to reason about what is and isn't impossible.
Lex Fridman (33:03.120)
So he's a big one.
Grant Sanderson (33:04.760)
It's a good leadership kind of style of saying like, look, the thing that everyone thinks
Lex Fridman (33:09.080)
is impossible is actually possible because exponentials.
Lex Fridman (33:13.800)
But what's your sense about, um, about that kind of way to see the world?
Grant Sanderson (33:19.240)
Well, so I think it's, um, it can be very inspiring to note when something like Moore's
Grant Sanderson (33:25.140)
law is another great example where you have this exponential pattern that holds shockingly
Lex Fridman (33:29.160)
well.
Grant Sanderson (33:30.160)
Um, and it enables, um, just better lives to be led.
Grant Sanderson (33:33.480)
I think the people who took Moore's law seriously in the sixties, we're seeing that, wow, it's
Grant Sanderson (33:37.980)
not going to be too long before like these giant computers that are either batch processing
Grant Sanderson (33:41.580)
or time shared, you could actually have one small enough to put on your desk on top of
Grant Sanderson (33:45.180)
your desk and you could do things.
Lex Fridman (33:46.780)
And if they took it seriously, like you have people predicting smartphones like a long
Grant Sanderson (33:49.740)
time ago.
Grant Sanderson (33:50.740)
Um, and it's only out of like kind of this, I don't want to say faith in exponentials,
Lex Fridman (33:55.120)
but an understanding that that's what's happening.
Grant Sanderson (33:58.120)
What's more interesting I think is to, um, really understand why exponential growth happens
Lex Fridman (34:03.400)
and that the mechanism behind it is when the rate of change is proportional to the thing
Lex Fridman (34:07.400)
in and of itself.
Lex Fridman (34:08.880)
So the reason that technology would grow exponentially is only going to be if, um, the rate of progress
Lex Fridman (34:14.240)
is proportional to the amount that you have.
Lex Fridman (34:16.360)
So that the software you write enables you to write more software.
Grant Sanderson (34:19.960)
Um, and I think we see this with the internet, like the advent of the internet makes it faster
Grant Sanderson (34:25.080)
to learn things, which makes it faster to, uh, create new things.
Grant Sanderson (34:29.200)
Um, I think this is, uh, oftentimes why like investment will grow exponentially that the
Grant Sanderson (34:35.600)
more resources a company has, if it knows how to use them, well, the more, uh, the more
Lex Fridman (34:40.680)
it can actually grow.
Grant Sanderson (34:41.680)
So, I mean, you know, you referenced Elon Musk.
Lex Fridman (34:43.520)
I think he seems to really be into vertically integrating his companies.
Grant Sanderson (34:47.320)
I think a big part of that is because you have the sense, what you want is to make sure
Grant Sanderson (34:49.920)
that the things that you develop, you have ownership of in the, they enable further development
Lex Fridman (34:54.060)
of the adjacent parts, right?
Lex Fridman (34:55.800)
So it's not just this, you, you see a curve and you're blindly drawing a line through
Grant Sanderson (35:00.320)
it.
Lex Fridman (35:01.320)
What's much more interesting is to ask, when do you have this proportional growth property?
Grant Sanderson (35:04.960)
Um, because then you can also recognize when it breaks down, like in an epidemic, as you
Lex Fridman (35:09.520)
approach saturation, that would break down.
Grant Sanderson (35:11.640)
Um, as you do anything that, uh, skews what that proportionality constant is, um, you
Grant Sanderson (35:16.520)
can make it maybe not break down as being an exponential, but it can seriously slow
Lex Fridman (35:20.020)
what that exponential rate is.
Grant Sanderson (35:21.480)
This is the opposite of a pandemic is you want, in terms of ideas, you want to minimize
Grant Sanderson (35:28.960)
barriers that, um, prevent the spread.
Lex Fridman (35:31.680)
You want to maximize the spread of impact.
Lex Fridman (35:33.620)
So like you want it to, to grow when you're doing technological development is so that
Lex Fridman (35:38.720)
you do hold up that rate holds up.
Lex Fridman (35:42.240)
And that's, that's almost like, uh, like an operational challenge of like how you run
Grant Sanderson (35:47.400)
a company, how you run a group of people is that any one invention has a ripple that's
Grant Sanderson (35:52.640)
unstopped.
Lex Fridman (35:54.440)
And that ripple effect then has its own ripple effects and so on.
Lex Fridman (35:58.000)
And that continues.
Lex Fridman (35:59.000)
Yeah.
Grant Sanderson (36:00.000)
Like Moore's law is fascinating.
Lex Fridman (36:01.000)
And the, like on a psychological level and a human level, cause it's not exponential.
Grant Sanderson (36:06.760)
It's, it's just a consistent set of like what you would call like S curves, which is like,
Lex Fridman (36:13.400)
it's constantly like breakthrough innovations nonstop.
Grant Sanderson (36:18.120)
That's a good point.
Grant Sanderson (36:19.120)
Like it might not actually be an example of exponentials because of something which grows
Grant Sanderson (36:22.680)
in proportion to itself.
Lex Fridman (36:23.920)
But instead it's almost like a benchmark that was set out that everyone's been pressured
Grant Sanderson (36:27.880)
to meet.
Lex Fridman (36:29.000)
And it's like all these innovations and micro inventions along the way, rather than some
Grant Sanderson (36:33.840)
consistent sit back and just let the lily pad grow across the lake phenomenon.
Lex Fridman (36:38.480)
And it's also that there's a human psychological level for sure of like the four minute mile,
Grant Sanderson (36:42.600)
like it's something about it.
Lex Fridman (36:45.080)
Like saying that, look, there is, you know, Moore's law, it's a law.
Lex Fridman (36:51.800)
So like it's a, it's certainly an achievable thing.
Grant Sanderson (36:56.720)
You know, we achieved it for the last decade, for the last two decades, for the last three
Grant Sanderson (36:59.920)
decades, you just keep going and it somehow makes it happen.
Grant Sanderson (37:04.320)
I mean, it makes people, I'm continuously surprised in this world how few people do
Grant Sanderson (37:10.520)
the best work in the world, like in that particular, whatever that field is, like it's very often
Grant Sanderson (37:18.200)
that like the genius, I mean, you couldn't argue that community matters, but it's certain
Grant Sanderson (37:25.480)
like I've been in groups of engineers where like one person is clearly like doing an incredible
Grant Sanderson (37:32.080)
amount of work and just is the genius and it's fascinating to see basically it's kind
Grant Sanderson (37:38.880)
of the Steve Jobs idea is maybe the whole point is to create an atmosphere where the
Grant Sanderson (37:46.840)
genius can discover themselves, like have the opportunity to do the best work of their
Grant Sanderson (37:52.080)
life and yeah, and that the exponential is just milking that.
Grant Sanderson (37:57.920)
It's like rippling the idea that it's possible and that idea that it's possible finds the
Grant Sanderson (38:03.120)
right people for the four minute mile and the idea that it's possible finds the right
Grant Sanderson (38:07.200)
runners to run it and then expose the number of people who can run faster than four minutes.
Grant Sanderson (38:12.520)
It's kind of interesting to, I don't know, basically the positive way to see that is
Grant Sanderson (38:17.140)
most of us are way more intelligent, have way more potential than we ever realized.
Grant Sanderson (38:22.320)
I guess that's kind of depressing, but I mean like the ceiling for most of us is much higher
Lex Fridman (38:26.520)
than we ever realized.
Grant Sanderson (38:28.640)
That is true.
Grant Sanderson (38:29.640)
A good book to read if you want that sense is Peak, which essentially talks about peak
Grant Sanderson (38:34.740)
performance in a lot of different ways, like chess, London cab drivers, how many pushups
Grant Sanderson (38:39.200)
people can do, short term memory tasks, and it's meant to be like a concrete manifesto
Grant Sanderson (38:45.600)
about deliberate practice and such, but the one sensation you come out with is wow, no
Grant Sanderson (38:50.480)
matter how good people are at something, they can get better and like way better than we
Grant Sanderson (38:54.560)
think they could.
Grant Sanderson (38:55.680)
I don't know if that's actually related to exponential growth, but I do think it's a
Grant Sanderson (38:59.480)
true phenomenon that's interesting.
Grant Sanderson (39:01.440)
Yeah, I mean, there's certainly no law of exponential growth in human innovation.
Grant Sanderson (39:06.720)
Well, I don't know.
Lex Fridman (39:09.920)
Well kind of, there is.
Grant Sanderson (39:11.480)
I think it's very interesting to see when innovations in one field allow for innovations
Lex Fridman (39:15.200)
in another.
Grant Sanderson (39:16.200)
Like the advent of computing seems like a prerequisite for the advent of chaos theory.
Lex Fridman (39:20.440)
You have this truth about physics and the world that in theory could be known.
Grant Sanderson (39:25.120)
You could find Lorenz's equations without computers, but in practice, it was just never
Grant Sanderson (39:29.960)
going to be analyzed that way unless you were doing like a bunch of simulations and that
Grant Sanderson (39:34.200)
you could computationally see these models.
Lex Fridman (39:36.520)
So it's like physics allowed for computers, computers allowed for better physics, and
Grant Sanderson (39:40.360)
you know, wash, rinse and repeat.
Lex Fridman (39:42.500)
That self proportionality, that's exponential.
Lex Fridman (39:45.720)
So I think I wouldn't think it's too far to say that that's a law of some kind.
Grant Sanderson (39:50.920)
Yeah, a fundamental law of the universe is that these descendants of apes will exponentially
Grant Sanderson (39:59.760)
improve their technology and one day be taken over by the AGI.
Lex Fridman (40:05.280)
That's built in.
Grant Sanderson (40:06.280)
That'll make the video game fun, whoever created this thing.
Lex Fridman (40:09.640)
So I mean, since you're wearing a space X shirt, let me ask.
Grant Sanderson (40:12.960)
I didn't realize I was wearing a space X shirt.
Lex Fridman (40:15.960)
I apologize.
Grant Sanderson (40:16.960)
It's on point.
Lex Fridman (40:17.960)
So it's on topic.
Grant Sanderson (40:18.960)
I'll take it.
Grant Sanderson (40:19.960)
It's the first crewed mission out into space since the space shuttle and just by first
Grant Sanderson (40:32.600)
time ever by a commercial company, I mean, it's an incredible accomplishment, I think,
Lex Fridman (40:37.880)
but it's also just an incredible, it inspires imagination amongst people that this is the
Grant Sanderson (40:44.560)
first step in a long, vibrant journey of humans into space.
Lex Fridman (40:50.960)
So how do you feel?
Lex Fridman (40:52.800)
Is this exciting to you?
Lex Fridman (40:55.000)
Yeah, it is.
Grant Sanderson (40:56.000)
I think it's great.
Grant Sanderson (40:57.000)
The idea of seeing it basically done by smaller entities instead of by governments.
Grant Sanderson (41:00.360)
I mean, it's a heavy collaboration between space X and NASA in this case, but moving
Grant Sanderson (41:04.720)
in the direction of not necessarily requiring an entire country and its government to make
Grant Sanderson (41:09.340)
it happen, but that you can have something closer to a single company doing it.
Grant Sanderson (41:14.840)
We're not there yet because it's not like they're unilaterally saying like we're just
Grant Sanderson (41:18.320)
shooting people up into space.
Grant Sanderson (41:20.960)
It's just a sign that we're able to do more powerful things with smaller groups of people.
Grant Sanderson (41:25.680)
I find that inspiring.
Lex Fridman (41:26.680)
Innovate quickly.
Grant Sanderson (41:27.680)
I hope we see people land on Mars in my lifetime.
Lex Fridman (41:30.800)
Do you think we will?
Grant Sanderson (41:32.360)
I think so.
Lex Fridman (41:33.360)
I mean, I think there's a ton of challenges there, right?
Grant Sanderson (41:35.600)
Like radiation being kind of the biggest one.
Lex Fridman (41:37.720)
And I think there's a ton of people who look at that and say, why?
Lex Fridman (41:42.160)
Why would you want to do that?
Lex Fridman (41:43.880)
Let's let the robots do the science for us.
Lex Fridman (41:46.100)
But I think there's enough people who are genuinely inspired about broadening the worlds
Grant Sanderson (41:50.520)
that we've touched or people who think about things like backing up the light of consciousness
Grant Sanderson (41:55.800)
with super long term visions of terraforming, like as long as there's a backing up the
Lex Fridman (41:59.800)
light of consciousness.
Grant Sanderson (42:00.800)
Yeah.
Lex Fridman (42:01.800)
I thought that if Earth goes to hell, we've got to have a backup somewhere.
Grant Sanderson (42:07.800)
A lot of people see that as pretty out there and it's like not in the short term future,
Lex Fridman (42:10.800)
but I think that's an inspiring thought.
Grant Sanderson (42:12.680)
I think that's a reason to get up in the morning and I feel like most employees at SpaceX feel
Lex Fridman (42:17.160)
that way too.
Lex Fridman (42:18.160)
Do you think we'll colonize Mars one day?
Lex Fridman (42:21.360)
No idea.
Grant Sanderson (42:22.360)
Like either AGI kills us first or if we're like allowed, I don't know if it'll take us
Lex Fridman (42:26.080)
for allowed.
Grant Sanderson (42:27.080)
Well, like honestly, it would take such a long time.
Lex Fridman (42:29.960)
Like, okay, you might have a small colony, right?
Grant Sanderson (42:32.760)
Something like what you see in the Martian, but not like people living comfortably there.
Lex Fridman (42:39.840)
But if you want to talk about actual like second Earth kind of stuff, that's just like
Grant Sanderson (42:46.200)
way far out there and the future moves so fast that it's hard to predict.
Lex Fridman (42:50.680)
We might just kill ourselves before that even becomes viable.
Grant Sanderson (42:53.520)
Yeah.
Grant Sanderson (42:54.520)
I mean, there's a lot of possibilities where it could be just, it doesn't have to be on
Grant Sanderson (42:58.040)
a planet, we could be floating out in space, have a space faring backup solution that doesn't
Grant Sanderson (43:07.360)
have to deal with the constraints that a planet, I mean, a planet provides a lot of possibilities
Lex Fridman (43:11.440)
and resources, but also has some constraints.
Lex Fridman (43:13.800)
Yeah.
Grant Sanderson (43:14.800)
I mean, for me, for some reason, it's a deeply exciting possibility.
Lex Fridman (43:19.560)
Oh yeah.
Grant Sanderson (43:20.560)
Yeah.
Grant Sanderson (43:21.560)
All of the people who were like skeptical about it are like, why do we care about going
Lex Fridman (43:24.720)
to Mars?
Lex Fridman (43:25.720)
Like, what makes you care about anything that's inspiring?
Grant Sanderson (43:28.640)
It's hard.
Grant Sanderson (43:29.640)
It actually is hard to hear that because exactly as you put it on a philosophical level, it's
Lex Fridman (43:34.760)
hard to say, why do anything?
Lex Fridman (43:37.600)
I don't know.
Grant Sanderson (43:38.740)
It's like the people say like, I've been doing like an insane challenge last 30 something
Lex Fridman (43:45.560)
days.
Lex Fridman (43:46.560)
Your pull ups?
Lex Fridman (43:47.560)
The pull ups and push ups and like, a bunch of people are like, awesome.
Grant Sanderson (43:55.080)
They're insane, but awesome.
Lex Fridman (43:57.040)
And then some people are like, why?
Lex Fridman (43:59.520)
Why do anything?
Lex Fridman (44:00.720)
I don't know.
Grant Sanderson (44:02.720)
There's a calling.
Grant Sanderson (44:03.720)
It's, I'm with JFK a little bit is because we do these things because they're hard.
Grant Sanderson (44:09.720)
There's something in the human spirit that says like, same with like a math problem.
Grant Sanderson (44:14.120)
There's something you fail once and it's like this feeling that, you know what, I'm not
Grant Sanderson (44:20.240)
going to back down from this.
Lex Fridman (44:21.800)
There's something to be discovered in overcoming this thing.
Lex Fridman (44:25.320)
So what I like about it is, and I also like this about the moon missions, sure, it's kind
Lex Fridman (44:29.560)
of arbitrary, but you can't move the target.
Lex Fridman (44:32.020)
So you can't make it easier and say that you've accomplished the goal.
Lex Fridman (44:36.120)
And when that happens, it just demands actual innovation, right?
Grant Sanderson (44:39.640)
Like protecting humans from the radiation in space on the flight there while they're
Lex Fridman (44:44.720)
hard problem demands innovation.
Grant Sanderson (44:46.820)
You can't move the goalpost to make that easier.
Lex Fridman (44:49.500)
But certainly the innovations required for things like that will be relevant in a bunch
Grant Sanderson (44:52.560)
of other domains too.
Lex Fridman (44:54.820)
So like the idea of doing something merely because it's hard, it's like loosely productive.
Grant Sanderson (44:59.280)
Great.
Lex Fridman (45:00.280)
But as long as you can't move the goalposts, there's probably going to be these secondary
Grant Sanderson (45:03.240)
benefits that like we should all strive for.
Lex Fridman (45:07.000)
Yeah.
Grant Sanderson (45:08.000)
I mean, it's hard to formulate the Mars colonization problem as something that has a deadline,
Lex Fridman (45:13.280)
which is the problem.
Lex Fridman (45:15.360)
But if there was a deadline, then the amount of things we would come up with by forcing
Lex Fridman (45:23.360)
ourselves to figure out how to colonize that place would be just incredible.
Grant Sanderson (45:29.100)
This is what people, like the internet didn't get created because people sat down and try
Grant Sanderson (45:34.280)
to figure out how do I, you know, send TikTok videos of myself dancing to people.
Grant Sanderson (45:41.480)
They, you know, it was, there's an application.
Grant Sanderson (45:44.880)
I mean, actually I don't even know what do you think the application for the internet
Grant Sanderson (45:48.120)
was when it was, it must've been very low level basic network communication within DARPA,
Grant Sanderson (45:53.360)
like military based, like how do I send like a networking, how do I send information securely
Lex Fridman (46:00.600)
between two places?
Lex Fridman (46:03.040)
Maybe it was an encryption.
Grant Sanderson (46:04.040)
I'm totally speaking totally outside of my knowledge, but like it was probably intended
Lex Fridman (46:08.160)
for a very narrow, small group of people.
Grant Sanderson (46:10.200)
Well, so I mean, it was, there was like this small community of people who are really interested
Grant Sanderson (46:13.880)
in timesharing computing and like interactive computing in contrast with a batch processing.
Lex Fridman (46:20.000)
And then the idea that as you set up like a timesharing center, basically meaning kind
Grant Sanderson (46:24.600)
of multiple people like logged in and using that like central computer, why not make it
Lex Fridman (46:28.820)
accessible to others?
Lex Fridman (46:30.360)
And this was kind of what I had always thought like, Oh, is this like fringe group that was
Grant Sanderson (46:33.880)
interested in this new kind of computing and they all like got themselves together.
Lex Fridman (46:37.820)
But the thing is like DARPA wouldn't act, you wouldn't have the U S government funding
Lex Fridman (46:41.360)
that just for the funds of it, right?
Grant Sanderson (46:44.020)
In some sense, that's what ARPA was all about was like just really advanced research for
Grant Sanderson (46:48.880)
the sake of having advanced research and it doesn't have to pay out with utility soon.
Lex Fridman (46:53.400)
But the core parts of its development were happening like in the middle of the Vietnam
Grant Sanderson (46:57.480)
war when there was budgetary constraints all over the place.
Grant Sanderson (47:01.360)
I only learned this recently, actually, like if you look at the documents, basically justifying
Grant Sanderson (47:06.400)
the budget for the ARPANET as they were developing it, and not just keeping it where it was,
Lex Fridman (47:12.840)
but actively growing it while all sorts of other departments were having their funding
Grant Sanderson (47:15.880)
cut because of the war, a big part of it was national defense in terms of having like a
Grant Sanderson (47:21.440)
more robust communication system, like the idea of packet switching versus circuit switching.
Grant Sanderson (47:26.500)
You could kind of make this case that in some calamitous circumstance where a central location
Grant Sanderson (47:31.000)
gets nuked, this is a much more resilient way to still have your communication lines
Grant Sanderson (47:36.360)
that like traditional telephone lines weren't as resilient to, which I just found very interesting.
Grant Sanderson (47:45.560)
Even something that we see as so happy go lucky is just a bunch of computer nerds trying
Grant Sanderson (47:48.760)
to get like interactive computing out there.
Grant Sanderson (47:51.060)
The actual thing that made it funded and thing that made it advance when it did was because
Grant Sanderson (47:57.480)
of this direct national security question and concern.
Lex Fridman (48:00.880)
I don't know if you've read it.
Grant Sanderson (48:02.360)
I haven't read it.
Grant Sanderson (48:03.360)
I don't know if I've been meaning to read it, but Neil deGrasse Tyson actually came out
Grant Sanderson (48:06.320)
with a book that talks about like science in the context of the military, like basically
Grant Sanderson (48:11.640)
saying all the great science we've done in the 20th century was like because of the military.
Grant Sanderson (48:18.640)
He paints a positive, it's not like a critical, a lot of people say like military industrial
Lex Fridman (48:23.880)
complex and so on.
Grant Sanderson (48:25.880)
Another way to see the military and national security is like a source of, like you said,
Grant Sanderson (48:30.400)
headlines and like hard things you can't move, like almost like scaring yourself into being
Grant Sanderson (48:37.200)
productive.
Lex Fridman (48:38.200)
It is that.
Grant Sanderson (48:39.200)
I mean, Manhattan Project is a perfect example, probably the quintessential example.
Grant Sanderson (48:43.240)
That one is a little bit more macabre than others because of like what they were building,
Lex Fridman (48:48.440)
but in terms of how many focused, smart hours of human intelligence get pointed towards
Lex Fridman (48:54.800)
a topic per day, you're just maxing it out with that sense of worry.
Grant Sanderson (48:58.580)
In that context, everyone there was saying like, we've got to get the bomb before Hitler
Grant Sanderson (49:01.600)
does and that just lights a fire under you that I, again, like the circumstances macabre,
Lex Fridman (49:08.340)
but I think that's actually pretty healthy, especially for researchers that are otherwise
Grant Sanderson (49:11.540)
going to be really theoretical to take these like theorizers and say, make this real physical
Grant Sanderson (49:17.040)
thing happen.
Grant Sanderson (49:18.640)
Meaning a lot of it is going to be unsexy, a lot of it's going to be like young Feynman
Grant Sanderson (49:22.380)
sitting there kind of inventing a notion of computation in order to like compute what
Grant Sanderson (49:28.120)
they needed to compute more quickly with like the rudimentary automated tools that they
Grant Sanderson (49:31.940)
had available.
Grant Sanderson (49:34.280)
I think you see this with Bell Labs also where you've got otherwise very theorizing minds
Grant Sanderson (49:39.460)
in very pragmatic contexts that I think is like really helpful for the theory as well
Lex Fridman (49:43.600)
as for the applications.
Grant Sanderson (49:46.280)
I think that stuff can be positive for progress.
Lex Fridman (49:50.280)
You mentioned Bell Labs and Manhattan Project.
Grant Sanderson (49:52.760)
This kind of makes me curious for the things you've create, which are quite singular.
Grant Sanderson (49:58.240)
Like if you look at all YouTube or just not YouTube, it doesn't matter what it is.
Grant Sanderson (50:04.040)
It's just teaching content, art, it doesn't matter.
Lex Fridman (50:06.920)
It's like, yep, that's, that's grant, right?
Grant Sanderson (50:11.620)
That's unique.
Lex Fridman (50:12.620)
I know you're teaching style and everything.
Grant Sanderson (50:15.700)
Does it, Manhattan Project and Bell Labs was like famously a lot of brilliant people, but
Lex Fridman (50:22.000)
there's a lot of them.
Grant Sanderson (50:23.480)
They play off of each other.
Lex Fridman (50:25.200)
So like my question for you is that, does it get lonely?
Grant Sanderson (50:28.880)
Honestly, that right there, I think is the biggest part of my life that I would like
Grant Sanderson (50:32.640)
to change in some way that I look at a Bell Labs type situation and I'm like, God damn,
Grant Sanderson (50:39.640)
I love that whole situation and I'm so jealous of it and you're like reading about Hamming
Lex Fridman (50:44.160)
and then you see that he also shared an office with Shannon and you're like, of course he
Grant Sanderson (50:47.480)
did.
Lex Fridman (50:48.480)
Of course they shared an office.
Grant Sanderson (50:49.480)
That's how these ideas get.
Lex Fridman (50:50.480)
And they actually probably very likely worked separately.
Grant Sanderson (50:53.320)
Yeah, totally, totally separate.
Lex Fridman (50:55.360)
But there's a literally, and sorry to interrupt, there's a literally magic that happens when
Grant Sanderson (50:59.720)
you run into each other, like on the way to like getting a snack or something.
Grant Sanderson (51:06.480)
Conversations you overhear, it's other projects you're pulled into, it's like puzzles that
Grant Sanderson (51:09.320)
colleagues are sharing, like all of that.
Grant Sanderson (51:12.240)
I have some extent of it just because I try to stay well connected in communities of people
Grant Sanderson (51:17.960)
who think in similar ways.
Lex Fridman (51:19.720)
But it's not in the day to day in the same way, which I would like to fix somehow.
Grant Sanderson (51:25.120)
That's one of the, I would say one of the biggest, well, one of the many drawbacks,
Grant Sanderson (51:35.040)
negative things about this current pandemic is that whatever the term is, but like chance
Grant Sanderson (51:40.920)
collisions are significantly reduced.
Grant Sanderson (51:44.160)
I saw, I don't know why I saw this, but on my brother's work calendar, he had a scheduled
Grant Sanderson (51:50.440)
slot with someone that he scheduled a meeting and the title of the whole meeting was no
Lex Fridman (51:57.240)
specific agenda.
Grant Sanderson (51:58.240)
I just missed the happenstance serendipitous conversations that we used to have, which
Lex Fridman (52:02.200)
the pandemic and remote work has so cruelly taken away from us.
Grant Sanderson (52:05.080)
Brilliant.
Lex Fridman (52:06.080)
That's brilliant.
Grant Sanderson (52:07.080)
I'm like, that's the way to do it.
Lex Fridman (52:09.720)
You just schedule those things, schedule the serendipitous interaction.
Grant Sanderson (52:13.680)
That's like, I mean, you can't do it in an academic setting, but it's basically like
Grant Sanderson (52:16.400)
going to a bar and sitting there just for the strangers you might meet, just the strangers
Grant Sanderson (52:22.080)
or striking up a conversation with strangers on the train.
Grant Sanderson (52:26.280)
Harder to do when you're deeply like maybe myself or maybe a lot of academic types who
Grant Sanderson (52:33.820)
are like introverted and avoid human contact as much as possible.
Lex Fridman (52:38.440)
So it's nice when it's forced, those chance collisions, but maybe scheduling is a possibility
Lex Fridman (52:43.600)
but for the most part, do you work alone?
Lex Fridman (52:48.000)
I'm sure you struggle a lot.
Grant Sanderson (52:53.660)
You probably hit moments when you look at this and you say like, this is the wrong way
Lex Fridman (53:00.200)
to show it.
Grant Sanderson (53:01.200)
It's a long way to visualize it.
Lex Fridman (53:02.440)
I'm making it too hard for myself.
Grant Sanderson (53:04.160)
I'm going down the wrong direction.
Lex Fridman (53:05.740)
This is too long.
Grant Sanderson (53:06.740)
This is too short.
Lex Fridman (53:07.740)
All those self doubt that could be paralyzing.
Lex Fridman (53:11.360)
What do you do in those moments?
Lex Fridman (53:13.160)
I actually much prefer like work to be a solitary affair for me.
Grant Sanderson (53:18.720)
That's like a personality quirk.
Grant Sanderson (53:19.880)
I would like it to be in an environment with others and like collaborative in the sense
Grant Sanderson (53:23.280)
of ideas exchanged.
Lex Fridman (53:24.700)
But those phenomena you're describing when you say this is too long, this is too short,
Grant Sanderson (53:27.980)
this visualization sucks, it's way easier to say that to yourself than it is to say
Lex Fridman (53:31.920)
to a collaborator.
Lex Fridman (53:34.300)
And I know that's just a thing that I'm not good at.
Lex Fridman (53:36.440)
So in that way, it's very easy to just throw away a script because the script isn't working.
Grant Sanderson (53:41.200)
It's hard to tell someone else they should do the same.
Grant Sanderson (53:43.400)
Actually last time we talked, I think it was like very close to me talking Don Knuth was
Grant Sanderson (53:47.560)
kind of cool.
Lex Fridman (53:48.560)
Like two people that...
Grant Sanderson (53:49.560)
I can't believe you got that interview.
Lex Fridman (53:51.560)
It's the hard...
Lex Fridman (53:52.560)
No, can I brag about something?
Lex Fridman (53:54.960)
Please.
Grant Sanderson (53:55.960)
My favorite thing is Don Knuth, after did the interview, he offered to go out to hot
Lex Fridman (54:01.520)
dogs with me.
Grant Sanderson (54:02.520)
To get hot dogs.
Lex Fridman (54:03.520)
That was never...
Grant Sanderson (54:04.520)
Like people ask me what's the favorite interview you've ever done and that has to be...
Lex Fridman (54:09.480)
But unfortunately I couldn't, I had a thing after.
Lex Fridman (54:12.760)
So I had to turn down Don Knuth.
Lex Fridman (54:14.440)
You missed Knuth dogs?
Grant Sanderson (54:15.440)
Knuth dogs.
Lex Fridman (54:16.440)
Sorry.
Lex Fridman (54:17.440)
So that was a little bragging, but the hot dogs, he's such a sweet.
Lex Fridman (54:22.200)
But the reason I bring that up is he works through problems alone as well.
Grant Sanderson (54:28.000)
He prefers that struggle, the struggle of it.
Grant Sanderson (54:33.360)
Writers like Stephen King often talk about their process of what they do, what they eat
Grant Sanderson (54:40.720)
when they wake up, when they sit down, how they like their desk on a perfectly productive
Lex Fridman (54:49.280)
day.
Lex Fridman (54:51.680)
What they like to do, how long they like to work for, what enables them to think deeply,
Lex Fridman (54:56.600)
all that kind of stuff.
Grant Sanderson (54:57.600)
Hunter S. Thompson did a lot of drugs.
Lex Fridman (55:00.520)
Everybody has their own thing.
Lex Fridman (55:03.000)
Do you have a thing?
Grant Sanderson (55:05.880)
If you were to lay out a perfect productive day, what would that schedule look like do
Lex Fridman (55:10.720)
you think?
Grant Sanderson (55:11.720)
Part of that's hard to answer because like the mode of work I do changes a lot from day
Grant Sanderson (55:19.360)
to day.
Lex Fridman (55:20.360)
Like some days I'm writing.
Grant Sanderson (55:21.400)
The thing I have to do is write a script.
Lex Fridman (55:22.900)
Some days I'm animating.
Grant Sanderson (55:23.900)
The thing I have to do is animate.
Lex Fridman (55:24.900)
Sometimes I'm like working on the animation library.
Grant Sanderson (55:27.160)
The thing I have to do is like a little, I'm not a software engineer, but something in
Lex Fridman (55:30.720)
the direction of software engineering.
Grant Sanderson (55:32.560)
Some days it's like a variant of research.
Lex Fridman (55:34.520)
It's like learn this topic well and try to learn it differently.
Lex Fridman (55:37.620)
So those are like four very different modes.
Grant Sanderson (55:41.520)
Some days it's like get through the email backlog of people I've been, tasks I've been
Grant Sanderson (55:45.360)
putting off.
Grant Sanderson (55:46.360)
It goes research, scripting, like the idea starts with research and then there's scripting
Lex Fridman (55:51.960)
and then there's programming and then there's the showtime.
Lex Fridman (55:56.800)
And the research side, by the way, I think a problematic way to do it is to say I'm starting
Grant Sanderson (56:01.440)
this project and therefore I'm starting the research.
Grant Sanderson (56:03.960)
Instead it should be that you're like ambiently learning a ton of things just in the background
Lex Fridman (56:08.020)
and then once you feel like you have the understanding for one, you put it on the list of things
Lex Fridman (56:11.660)
that there can be a video for.
Grant Sanderson (56:14.040)
Otherwise either you're going to end up roadblocked forever or you're just not going to like have
Lex Fridman (56:18.660)
a good way of talking about it.
Lex Fridman (56:21.920)
But still some of the days it's like the thing to do is learn new things.
Lex Fridman (56:25.120)
So what's the most painful one?
Grant Sanderson (56:26.360)
I think you mentioned scripting.
Lex Fridman (56:29.120)
Scripting is yeah, that's the worst.
Grant Sanderson (56:30.520)
Yeah, writing is the worst.
Lex Fridman (56:31.880)
So what's your, on a perfectly, so let's take the hardest one.
Lex Fridman (56:35.520)
What's a perfectly productive day?
Grant Sanderson (56:37.320)
You wake up and it's like, damn it, this is the day I need to do some scripting.
Lex Fridman (56:41.800)
And like you didn't do anything the last two days so you came up with excuses to procrastinate
Lex Fridman (56:45.600)
so today must be the day.
Grant Sanderson (56:47.480)
Yeah, I wake up early, I guess I exercise and then I turn the internet off.
Grant Sanderson (56:57.100)
If we're writing, yeah, that's what's required is having the internet off and then maybe
Grant Sanderson (57:01.520)
you keep notes on the things that you want to Google when you're allowed to have the
Lex Fridman (57:04.200)
internet again.
Grant Sanderson (57:05.200)
I'm not great about doing that, but when I do, that makes it happen.
Lex Fridman (57:08.820)
And then when I hit writer's block, like the solution to writer's block is to read.
Grant Sanderson (57:13.200)
Doesn't even have to be related.
Grant Sanderson (57:14.360)
Just read something different just for like 15 minutes, half an hour and then go back
Grant Sanderson (57:18.340)
to writing.
Lex Fridman (57:20.160)
That when it's a nice cycle, I think can work very well.
Lex Fridman (57:22.520)
And when you're writing the script, you don't know where it ends, right?
Lex Fridman (57:26.200)
Like you have a problem solving videos.
Grant Sanderson (57:28.820)
I know where it ends, expositional videos.
Grant Sanderson (57:30.840)
I don't know where it ends coming up with a, with the magical thing that makes this
Lex Fridman (57:36.760)
whole story, like ties this whole story together that when does that happen?
Grant Sanderson (57:41.980)
That's that's the thing that makes it such that a topic gets put on the list of like
Grant Sanderson (57:45.120)
videos.
Lex Fridman (57:46.120)
Oh, that's an issue.
Grant Sanderson (57:47.120)
You shouldn't start the project unless there's one of those and you have, you have so many
Grant Sanderson (57:50.760)
nice bags that you haven't such a big bag of aha moments already that you could just
Grant Sanderson (57:55.040)
pull at it.
Lex Fridman (57:56.880)
That's one of the things.
Lex Fridman (57:57.960)
And one of the sad things about time and that nothing lasts forever and that we're all mortal.
Grant Sanderson (58:05.400)
Let's not get into that discussion is, you know, if I see like, even when I ask for people
Grant Sanderson (58:14.660)
to ask, like ask, I did a call for questions and people want to ask you questions and so
Lex Fridman (58:19.600)
many requests from people about like certain videos they would love you to do.
Grant Sanderson (58:23.520)
It's such a pile and I think that's a, that's a sign of like admiration from people for
Lex Fridman (58:30.480)
sure.
Lex Fridman (58:31.480)
But it's like, it makes me sad cause like whenever I see them, people give ideas, they're
Lex Fridman (58:35.200)
all like very often really good ideas.
Lex Fridman (58:38.640)
And it's like, it's such a, it makes me sad in the same kind of way when I go through
Grant Sanderson (58:44.960)
a library or through a bookstore, you see all these amazing books that you'll never
Grant Sanderson (58:49.160)
get to open.
Lex Fridman (58:52.720)
So yeah.
Lex Fridman (58:53.720)
So you gotta enjoy the ones that you have, enjoy the books that are open and don't let
Lex Fridman (58:59.200)
yourself lament the ones that stay closed.
Lex Fridman (59:02.960)
What else?
Lex Fridman (59:03.960)
Is there any other magic to that day?
Lex Fridman (59:05.120)
So do you try to dedicate like a certain number of hours?
Lex Fridman (59:08.720)
Do you, Cal Newport has this deep work kind of idea.
Grant Sanderson (59:13.160)
There's systematic people who like get really on top of, you know, they checklist of what
Lex Fridman (59:17.640)
they're going to do in the day and they like count their hours.
Lex Fridman (59:20.280)
And I am not a systematic person in that way.
Lex Fridman (59:23.280)
Which is probably a problem.
Grant Sanderson (59:24.560)
I very likely would get more done if I was systematic in that way, but that doesn't happen.
Lex Fridman (59:30.800)
So you talk to me later in life and maybe I'll have like changed my ways and give you
Grant Sanderson (59:35.920)
a very different answer.
Grant Sanderson (59:37.360)
I think Benjamin Franklin like later in life figured out the rigor is these like very rigorous
Grant Sanderson (59:42.760)
schedules and how to be productive.
Lex Fridman (59:45.000)
I think those schedules are much more fun to write.
Grant Sanderson (59:47.640)
Like it's very fun to like write a schedule and make a blog post about like the perfect
Lex Fridman (59:50.840)
productive day that like might work for one person.
Lex Fridman (59:54.360)
But I don't know how much people get out of like reading them or trying to adopt someone
Lex Fridman (59:57.820)
else's style.
Lex Fridman (59:59.160)
And I'm not even sure that they've ever followed.
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