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The HoTT Game

96 点作者 VitalyAnkh超过 3 年前

5 条评论

bramblerose超过 3 年前
This seems all well thought-out and the drawings are very well-made. However, descriptions like &quot;We make a path p : true ≡ false from the assumed path (homotopy) h : Refl ≡ loop by constructing a non-trivial Bool-bundle over the circle, hence obtaining a map ( Refl ≡ loop ) → ⊥.&quot; are largely incomprehensible for people without an undergraduate in mathematics.<p>The combination &quot;try to understand the math concepts that are not explained&quot;, &quot;deal with a programming language and syntax I&#x27;ve never seen before&quot; and &quot;deal with emacs&quot; quickly extinguished any interest I had as a mere physicist.<p>That being said, I think the core issue is that I&#x27;m not in the target audience. At the same time, it&#x27;s being posted in a more general forum, and I think it&#x27;s important for others to know that thye shouldn&#x27;t feel too frustrated when they can&#x27;t figure out the goal (let alone the solution) to the exercises.
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maxbendick超过 3 年前
Category theory, type theory, and HoTT are all a joy! Worth checking out, especially if you didn&#x27;t enjoy math in school.
orangea超过 3 年前
I wonder if services like gitpod&#x2F;github codespaces&#x2F;repl.it would be a good solution for allowing people to use an agda environment without installing it.
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orangea超过 3 年前
Does the &quot;fundamental group of the circle&quot; part use anything specifically from homotopy type theory as opposed to any other type theory?
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dqpb超过 3 年前
Wonder why they didn’t do it in Lean?
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