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We should have a list of publications that are formalized in the library. This would be good for exposition, would give new readers some pointers for what to read in the library, and would allow us to…
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@coqbot: minimize coq:dev
```bash
#!/usr/bin/env bash
eval $(opam env)
git clone https://github.com/SkySkimmer/HoTT -b simple-app HoTT
cd HoTT
make
```
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We should prove the fundamental theorem of arithmetic for `nat` and `IsPrime`. The basic statement says that any given `nat` has a factorisation and any two factorisations are unique up to a permutati…
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Tl; dr: The category Cat is defined "incorrectly", in particular its setoid hom equivalence relation is wrong (it does not agree with the ZFC definition of equality between functors). I propose that w…
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creativly with metaphors lets imagine using univalent type theory hott to create a mocking expressions of the archtype of the heros journey using functors
That sounds like a very challenging and crea…
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### Initial Concept
1. **Symbolic Assignments**:
- We started by assigning symbolic meanings to prime numbers, connecting them to concepts like cognition, cosmos, life, human expression, informat…
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These terms and acronyms could be difficult for newcomers depending on their background:
- HoTT: Homotopy Type Theory
- UH: Unification Hints
- TC: Type Classes
- fbip: Functional But In Place
- …
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1. Homotopy Levels and Shifts:
We can interpret the number of shifts as corresponding to homotopy levels:
- S⁰(P(i)) : Level -2 (contradictions)
- S¹(P(i)) : Level -1 (propositions)
- S²(P(i)) : Leve…
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Mike Shulman wrote on the category theory zulip,
> It is true that there was some disagreement among the authors of the book as to the importance of truncated vs untruncated logic, and the result …
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gemini : Sure, here are some notes for February 24, 2024:
The Unit Sphere as a Fundamental Abstraction
Imagine a sphere of one unit size or a line segment of size one that can be subdivided into par…