Questions tagged [category-theory]

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7 votes
0 answers
169 views

Category theory without categories and without theory

In undergraduate courses, students are often taught that a function is injective if it never maps distinct inputs to the same output, and it is surjective if every member of the codomain is an output. ...
4 votes
2 answers
344 views

Have there been attempts to base early math education on category theory?

The New Math curriculum built math eduction on set theory. Have there been any attempts to do something similar with category theory? I was fortunate to grow up in a relatively enlightened ...
5 votes
3 answers
271 views

If I want to pursue theoretical mathematics, especially Category theory, do I ever need programming skill?

I love Category Theory and I also love programming so I learn both of them in my spare time. However I find that programming takes up so much of my spare time. I reason that the less thing I can do ...
13 votes
3 answers
600 views

Teaching intuition for the universal property of the product (category theory)

In category theory, there's the idea of the product as an object satisfying a particular universal property. Can you suggest ways to make the concept of the product intuitive? (So far, my attempt ...
12 votes
3 answers
2k views

Conceptual Mathematics by Lawvere & Schanuel as text for bridging course?

I have recently come across Conceptual Mathematics: A First Introduction to Categories by Lawvere & Schanuel. It is a gentle introduction to Category Theory and strikes me as a potential ...
4 votes
0 answers
140 views

How fast must one teach category theory? [closed]

For a postgraduate class on category theory, how fast must one teach category theory? What is the pace one must take? Also, what must one assume that the students know? Thanks!