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Results tagged with type-theory
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user 112089
4
votes
3
answers
621
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Homotopy type theory: Are the hierarchy of Type_k universes isomorphic?
In homotopy type theory, or dependent type theories more generally, there is a "top-level" type called the universe, generally denoted $\newcommand{\type}{\mathtt{Type}}\type$. So for a concrete examp …
- 233
2
votes
1
answer
313
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Why are types in type theory unordered collections?
Please excuse my naïveté, I have no higher math education, just a curious observer. In type theories, types are treated as set-like because they're unordered collections. Yet, the putative motive in m …
- 233