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Results tagged with lo.logic
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user 24563
first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
4
votes
Intuitionistic algebraic topology?
Without AC, it is impossible to prove that every set is equipotent to an ordinal (in ZF !) and it is impossible to prove that a functor is an equivalence of categories if and only if it is full faithf …
- 3,901
9
votes
2
answers
2k
views
A (very naive) question about Homotopy Type Theory
In homotopy type theory, homotopy types can be viewed as logical types and it is possible to prove some theorems about them without using any underlying space (no simplicial set, no topological space) …
- 3,901
1
vote
On the foundations for large categories
This should be a comment, not an answer but it is too long ! This issue is not open. On the contrary, it is well-known. Unlike what is commonly believed, ZFC alone is not sufficient to develop categor …
- 3,901