Hi, thank you for all your Category Theory videos/talks. Comment about the arrow composition notation that had me confused a bit, then realised that when using “fat semi-s” as in f ; g, they should be read as “g follows f” instead of “f follows g” . Which is how I initially learned to read composition notation from other resources, when combining arrows using circle notation f o g. Seeing the Unital identity composition rule (44:35) using fat semi-s and I thought it had mistakenly been written backwards, but it was my thinking that was reversed. I suppose, one example of many ways Category Theory is great for exercising mental agility. Thanks again 👍
I know it's an old video, but I just wanted to thank you for posting it. Got me to understand a little more about CT. One thing though: Whenever it's about commutativity you'd say "communitive".
@2:45 no mate. That is a common misconception . What separates humans from other animals (by a huge chasm) is higher order symbolic reference language, which is totally different to primitive language. Terrence Deacon ham-fisted wrote about this, but ordinary people can grok the gist of it if I say it is about mental capacity to think in terms of abstractions, that is, "objects" (and relations between them) that have absolutely no physical meaning (or need not have any physical meaning). _No other species we know_ can do this. But _every_ moderately intelligent species on Earth can associate symbols to physical objects or material needs or desires (first-order symbolic reference).
This is really good. I love that there is a bit of history, and well explained motivations. PS. Could have even more history of category theory, or maybe there is a separate talk about that?
Kant said of Hume that he wakened him from his dogmatic slumber. David... you awakened me from my dogmatic blunder.
I have never learned this much in one sitting. EVER. Super basic and super good. :) This is pure gold.
Hi, thank you for all your Category Theory videos/talks. Comment about the arrow composition notation that had me confused a bit, then realised that when using “fat semi-s” as in f ; g, they should be read as “g follows f” instead of “f follows g” . Which is how I initially learned to read composition notation from other resources, when combining arrows using circle notation f o g. Seeing the Unital identity composition rule (44:35) using fat semi-s and I thought it had mistakenly been written backwards, but it was my thinking that was reversed. I suppose, one example of many ways Category Theory is great for exercising mental agility. Thanks again 👍
David, thank you so much! Best CT intro I’ve seen. Off to part 2...
I know it's an old video, but I just wanted to thank you for posting it. Got me to understand a little more about CT.
One thing though: Whenever it's about commutativity you'd say "communitive".
@2:45 no mate. That is a common misconception . What separates humans from other animals (by a huge chasm) is higher order symbolic reference language, which is totally different to primitive language. Terrence Deacon ham-fisted wrote about this, but ordinary people can grok the gist of it if I say it is about mental capacity to think in terms of abstractions, that is, "objects" (and relations between them) that have absolutely no physical meaning (or need not have any physical meaning). _No other species we know_ can do this. But _every_ moderately intelligent species on Earth can associate symbols to physical objects or material needs or desires (first-order symbolic reference).
Part 2: Applied CT tutorial, ua-cam.com/video/eIjPxaFbEeg/v-deo.html
Amazing video!
This is really good. I love that there is a bit of history, and well explained motivations. PS. Could have even more history of category theory, or maybe there is a separate talk about that?
Great lecture, thanks, David. Is there a way to get a copy of the slides?
I would love to have them too. I agree with J. Williams that this is a really good intro to CT.
They are here:
www.dspivak.net/talks/FRA-Tutorial--part1.pdf
www.dspivak.net/talks/FRA-Tutorial--part2.pdf
On slide 9 you refer to the number 0 as a natural number. But the natural numbers begin at 1. What’s up with that?