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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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Need help unpacking the interdependence of axiomatic set theory and first-order logic
I'm currently self-studying both Von Neumann Set Theory (not ZFC but rather axiomatic set theory with the undefined notion of class) and First-Order Logic.
I've been self-studying the following textbo …