"the following is a conversation with grant Sanderson he's a math educator and creator of three blue one brown a popular YouTube channel that uses programmatically animated visualizations to explain co..."

"personally use cash app to send money to friends but you can also use it to buy sell and deposit Bitcoin in just seconds cash app also has an investing feature you can buy fractions of a stock say $1 ..."

"Sanderson if there's intelligent life out there in the universe do you think their mathematics is different than ours jumping right in I think it's probably very different there's an obvious sense the..."

"the little glimpses that we have of what choices you can make along the way based on what different mathematicians have brought to the table is just scratching the surface surface of what the differen..."

"power of e to the S I mean what it addresses is things where the rate at which something changes depends on its own value but more specifically it depends on it linearly so for example if you have lik..."

"human hours of like intelligent human hours that have been wasted trying to parse that to their own liking and desire among like scientists or electrical engineers if students have we were which if th..."

"here's how I would describe the relation between the two you've got a very important function we might call X that's like the exponential function when you plug in one you get this nice constant calle..."

"intelligent life your initial question asked about would have come to recognize as being much more significant than the single use case which lends itself to repeated multiplication notation but let m..."

"the Pythagorean theorem it feels like a discovery you've got these beautiful geometric proofs where you've got squares and you're modifying there is it feels like a discovery if you look at how we for..."

"then let me ask the the Richard Fineman question then along that thread is what do you think is a difference between physics and math there's a giant overlap there's a kind of intuition that physicist..."

"well I think of math as being the study of like abstractions over patterns and pure in logic and then physics is obviously grounded in a desire to understand the world that we live in yeah I think you..."

"who is this he's written a lot of great books many about like differential equations and such he would say math is a branch of physics that's how he would think about it and of course he was studying ..."

"why is it simple I it could be the case that there's like a filter iteration I played the only things that physicists find interesting other ones little simple enough they could describe it mathematic..."

"can have an equation for gravity for action in a distance we can have equations for some of these basic ways the planets moving just the the low-level at the atomic scale all the materials operate at ..."

"in the actual world is much more complicated well but we can we can do pretty awesome things right like we can fly spaceships and that we have to have some connection of reality to be able to take our..."

"kind of probability distribution on like what the information capacity is I have no idea but I I don't mean like people almost assume a certain uniform probability over all of those metal layers that ..."

"think about the simulation hypothesis I think is just fun to think about it but it's also I think there is a thought experiment kind of interesting to think of the power of computation where there are..."

"it's at least plausible that whatever the highest level of existence is doesn't admit too many simulations or ones that are at the scale of complexity that we're looking at obviously it's just as conc..."

"we do everything we do inside in science math and engineering yes but you said exist my the question is well you said letters of words I said words words the to bring words into existence to me you ha..."

"right that's a kind of abstraction it's a thing that could apply to a lot of different images that I see and it represents it in a much more compressed way and one that's like much more resilient to t..."

"than the I can always add one more sentiment that's a really elegant much more elegant way than I could put it so thank you for doing that as yet another abstraction and yes indeed that's what our bra..."

"if instead of calling these abstract how different would it be in your mind if we call them general and the phenomenon that you're describing is over generalization when you try them channelization ye..."

"dangerous to me to use these as part of our toolbox of abstractions on behalf of your listeners I almost fear we're getting too philosophical oh no I I think to that point for any particular idea like..."

"makes me understand and I think a lot of the motivation for the channel is channeling that sentiment of yeah a lot of the things that you're trying to read out there it's just so hard to connect to an..."

"looking at quantities like the distance of the x-coordinate the distance of the y-coordinate it's as concrete as you could possibly get and it has to be if you're putting it in a visual right like tha..."

"think and I think that's very important I also think about this a lot in writing scripts where even before you get to the visuals the first instinct is to I don't know why I just always do I say the a..."

"something like visualizing the riemann zeta function it's one that came about because i was programming and tried to see what a certain thing looked like and then i looked at it like well that's eluci..."

"definitely understand it better than I did a year ago I definitely understand it 1/100 as well as the experts on the matter do I assume but the slow path towards getting theirs it's fun it's charming ..."

"that's a big part of it I think things that are too arbitrary it's just hard for those to feel beautiful because and this is sort of what the word contrived is meant to apply to right and the one they..."

"docket whenever somebody does a lot of something amazing I'm gonna ask the question that that you've already been asked a lot that you'll get more and more asked in your life but what was your favorit..."

"so what I liked about the piece of math that this was describing that was in this paper by a mathematician named Vaughan was that it arises very naturally it's clear what it represents it's doing some..."

"was talking abut your most weren't able to anticipate what its gonna look like I don't know idea I had no idea and it was wonderful right it was totally it looks like a Sydney Opera House or some sort..."

"this is good a good sort of example to talk a little bit about your process so you have you have a list of ideas so that sort of the the curse of having having an active and brilliant mind is I'm sure..."

"who is the judger in your head sort of the person the creature the essence that's saying this sucks er this is good and you mentioned kind of the student you're you're thinking about um what can you u..."

"wouldn't actually recommend that video to people who are coming at it from that angle of wanting to know hey I'm a robotics program or like how do these quarter neon things work to describe position i..."

"you've done that with a few actually concepts where you've have taken different costs like at the at the at the Euler equation right the you've taken different views of that I think I've made three vi..."

"have the same romantic pizzazz right well that's the nice thing about mathematics I think as long as you don't live forever there will always be enough mystery and fun with some of the equations even ..."

"be gun to my head I don't think that's it yeah another another sort of would say gun to the head it's the deep psychological introspection of what drives us I mean that's uh in some ways to me I mean ..."

"the the limited nature of our little of our bodies of our existence what else would give this podcast meaning that's right if not the fact that it will end this place closes in in 40 minutes and it's ..."

"it seemed to maybe assign a little too much value just suffering immortality and things like that make makes for a better novel I think oh yeah you need you need some sort of existential threat yeah t..."

"like someone who didn't understand the solution now could for things like neural networks that was a lot harder because like you said there's so many angles at which you could attack it and there it's..."

"well curated lists of problems so go into like a textbook almost in and the problems in the back of a text and back of a chapter so if you can take a little look through those questions at the end of ..."

"through I know a lot of people who didn't like math got into programming in some way and that's what turned them on to math maybe I'm biased cuz like I live in the Bay Area so I'm more likely to run i..."

"right I'm willing to say I learned the nine times better than reading that might even be a lowball yeah right so so doing something to teach or to like actively try to explain things is huge for conso..."