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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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Is there a non-constructive dependent type theory?
If I understand correctly constructivism is not the only difference between intensional Martin-Löf type theory and a first-order set theory (e.g. ZFC). Can we drop constructivism and yet have a depend …