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Mathematical logic, Set theory, Peano arithmetic, Model theory, Proof theory, Recursion theory, Computability theory, Univalent foundations, Reverse mathematics, Frege foundation of arithmetic, Goedel's incompleteness and Mathematics, Structural set theory, Category theory, Type theory.
4
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Large cardinals without the ambient set theory?
But anyway, my point is this: just look at ON and totally forget that is the spine of V, and see it as a system of ordered numbers. Now axiomatize what you see, much in the same way as you axiomatize …
3
votes
Elementary Equivalence =? Homotopy Equivalence
The dream behind this question is that perhaps one could think of an elementary substructure as a homotopical retract of the ambient structure
I have tried and failed to do something similar for mode …