Category Theory: An Introduction to Abstract Nonsense

It is a nonsense to listen to such videos at 2 am

This is such an incredible and well made video! Thank you for a wonderful introduction

Everytime I feel somewhat self confident I like to watch videos like these to feel dumb again

Damn, you know you some math!

Your definition of analysis was kinda bland

Hi there Feyman's Chicken, if you see this PLEASE MAKE MORE VIDEOS.

Hello, does anyone have a step-by-step reference to understand the group object?

I'm trying to awlf-study this stuff so that I can, later, try to apply it to cliodynamics, behavioral economics, quantitative finance, and economic anthropology. But, so far, I've found Category Theory HARD. Your video helped me understand it better. I hope that you keep making these sorts of videos.

Please make more videos!!!

Academics just want to make more and more papers, if it means it sacrifice logic and reality so be it

Dense clear and concise. thank you.

I guess I go back to elementary school level math ...

I love how you've been able to do such a comprehensive video on category theory with so much content. Such an awesome job. Fantastic!

No :(

how do category theory & grp theory relate to each other?

This is the best video I have ever seen on mathematics. Absolutely gorgeous. If i had money I wouldve comtributed

Wow - from basic definitions to functors and natural transformations and on to infinity categories in less than 10 minutes! Quite remarkable. Really hope you choose to make more videos, because this was one of the best introductions to CT that I have come across!

You have to make more videos, pleasseeee

Califate of AL Gebra, where Califate is any Islamic empire. Nice.

I have a hard time believing that anyone who did not understand category theory before this video would understand it afterwards. Poor pedagogy because it is just providing vocabulary instead of making an effort to explain. Virtually no examples. Exactly what is wrong with some mathematics education. Designed to appeal to a tiny fraction of those who might be capable of understanding it. No effort to motivate the problem these theories are trying to solve.

This is the most underrated channel I've seen for a while. Keep up the great work!

The individual speaking in this video is gender-neutral or gender-fluid, has colored hair and spends lots of time editing gender studies topics on Wikipedia...It is working on a generalization of gender theory called "Gender Dynamics," and will introduce concepts such as "gendoids" and "gendons" that operate in Gender Spaces with axioms governing their "gendorphisms." It will surely win a Fields Medal for this groundbreaking work that combines Genitalia with Topology, Analysis and Algebra.

Do a video like this on TOPOS THEORY!

Profound! And some reflections: ...
abstract algebra by nature is emm abstract so easily lends itself to transformations by "changing the labels of like things"?
algebraists look for standards between mathematical things?
Mathematical things depend a lot on labels applied to them and so remain consistent when labels are changed?
analysts on the other hand seem to be drawn to things of inconsistency especially when analysis gives explanation for the inconsistencies? And at this point attract research funding because pointwise events do not readily lend themselves to generalities until those generalities are identified or reduced by a new analytical definition of some sort
I agree there is a horribly magnificent something living in math that seems to show a rainbow effect: the closer one approaches the more rapidly the rainbow disappears or re-locates
Q: Is Category Theory the way to go?
A: hell yeah! It seems a very good way to go
Excellent work!

I heard schroedinger's cat ate Feynman's chicken. Just a theory....

Just wanting to let you know that you did an amazing job making this video! Thank you!

Great video! The theme style is also very compatible with maths. I hope you'll make more videos.

b-b-b-based!?!?!?!

One more great channel

Love this video. Please make more! :)

nice one feynman's chicken. lets see if you can come up with a functor from feynman's diagrams to pure math.

I definitely like the top-level view but I think some videos showing examples of some of this stuff would be helpful.

I understood a fair bit of this but there were bits where I got lost. I need to study some of the underlying math for some of these areas.

Very fundamental , great Motivations

Extremely well simplified.
Worth keeping the work up for sure

Knowing nothing about category theory, I found this rather more useful than other videos I have seen on the topic.

The idea of a functor makes me wonder if we can use its functorial properties to "transfer" a proof about objects in one category to objects in another e.g. maybe we can prove something about groups then use the fact that a functor exists from the Grp to Rng categories to immediately show that an analogous proof works for rings? Or am I hopelessly confused?

Very helpful video

Hope this doesn't come true, but the idea that you'd "make only ONE awesome video on the channel and choose not to elaborate on it" would be sour because you have such awesome potential for 1M+ subs!

Whut ?

I feel like a dick went in and out of my brain, repeatedly

great video, please make more, just suscribed

Your speech style is like you are tired, you are sleeping and someone points a gun to your head to shoot this video...