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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.

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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 …
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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 …
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  • 468