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- Website URL: https://ncatlab.org/nlab/show/HomePage
- License: **a wiki for collaborative work on Mathematics, Physics, and Philosophy** (shouldnt be copyrighted material therefore!)
- Desired ZIM…
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Freek's list is weird and arbitrary, and although it is widely used as a benchmark by libraries of formalized mathematics and therefore it is important to track it on our library.
However, it would…
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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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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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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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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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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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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…
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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
- …