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Those areas aren't part of mainstream mathematics. More like "theoretical computer science". Mathematics (in the mainstream sense) is the study of space and qu
by ogogmad 6y ago
Those areas aren't part of mainstream mathematics. More like "theoretical computer science".
Mathematics (in the mainstream sense) is the study of space and quantity.
- Ceezy 6y agoYou can't be serious. Homotopy theory is about shape!
- ogogmad 6y agoThe OP said homotopy type theory. Homotopy theory proper is part of algebraic topology, which is certainly part of mainstream maths. [Edit] Sorry, I originally said "you said" when it was OP who said.
- gone35 6y ago> "space and quantity" That's a rather narrow view even of mainstream mathematics IMO.
- catpolice 6y agoThis is a very strange claim. Just off the top of my head, this definition of "mainstream mathematics" would exclude, for instance, Gödel's more famous theorems, a good bit of Grothendieck, some of the Bourbaki collective, and a huge amount of work from rather high profile mathematicians working today.
- ogogmad 6y agoYeah, perhaps you're right. I was trying to delineate what gets done in maths departments from what gets done in computer science, philosophy or other departments at universities while still falling under the umbrella of mathematics. Stuff like type theory is rarely done in maths departments (though it sometimes is).