Re:With Category Theory, Mathematics Escapes from Equality (...
by isaac21259 on Sunday March 27, 2022 @07:28AM
(#30819438)
I was also considering writing some introductory stuff about HoTT but I don't think it's possible to avoid talking about topology, homotopy theory, and category theory in depth like you can with, say Haskell and category theory. This is because the stuff that makes HoTT so cool cannot be separated from it's mathematical foundations. How would you explain truncated types without going fairly deep into the math? Or the circle type? Sure both of these could be explained as instances of higher inductive types but that explanation is missing a lot.
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Re:With Category Theory, Mathematics Escapes from Equality (...
by Koshkin on Sunday March 27, 2022 @08:07AM
(#30819625)
As already has been done with category theory, you need to target a specific audience, whether it is programmers, scientists, engineers, or mathematicians, and illustrate the concepts by giving examples from their area of expertise, if possible.