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Applied Category Theory Course

math.ucr.edu

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Re: Applied Category Theory Course

#4
How much time do you guys really need for such a course? I have then stacking up and have a list of a few dozen books and courses to go over.

I am beginning to think I'm doing this wrong, or simply don't know how to prioritize, a common modern problem of course.

Re: Applied Category Theory Course

#5
post #4

How much time do you guys really need for such a course? I have then stacking up and have a list of a few dozen books and courses to go over. I am beginning to think I'm doing this wrong, or simply don't know how to prioritize, a common modern problem of course.

If you’re spending more than a few months on a topic you might be doing it wrong. I find that following a slightly stressful fast-paced schedule is actually kind of important for effective learning.

Re: Applied Category Theory Course

#6
I’ve seen many “applied” category theory posts and books but it’s important to remember that pure mathematicians’ definition of “applied” is way different than and more boring than you’d think. I still have to see some insights that CT gave us about a real world application that wouldn’t have been discovered without CT. Most of CT to me seems like definitions on top of definitions.

Re: Applied Category Theory Course

#8

Why is everyone here so obsessed with category theory? It has basically no useful theorems.

I think it's mainly software folks who feel mathematical learning it. Mathematicians primarily use it as a linkage and general tool in some context. I feel category theory needs something to latch it on to. Most software based applications seem a little too contrived, unless I have missed something interesting.

Re: Applied Category Theory Course

#9

Why is everyone here so obsessed with category theory? It has basically no useful theorems.

Odd take on a post called "applications of category theory"

I mean topology didn't have so many applications 100 years ago, but now that shits everywhere. Math is the ultimate r&d. It's literally the language of causality. Imho it can't not be useful.

Re: Applied Category Theory Course

#10
post #9

Why is everyone here so obsessed with category theory? It has basically no useful theorems.

Odd take on a post called "applications of category theory" I mean topology didn't have so many applications 100 years ago, but now that shits everywhere. Math is the ultimate r&d. It's literally the language of causality. Imho it can't not be useful.

I have looked into applications of topology a lot and "everywhere" seems like a stretch, though perhaps you mean it in a particular sense that differs from mine. Could you give some examples of what you think of as the most useful practical applications of topology?
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