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user 5818
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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Alternative axiom to induction
I think that PA without the induction axiom schemata is equivalent to Robinson Arithmetic, often called Q. This was isolated in the 1950s as an example of an incomplete theory of arithmetic, which is …
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