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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.
9
votes
A conservative extension of Peano Arithmetic
I was referring to the 2nd Theorem in section 8.7 in Feferman's 1977 article
"Theories of finite type related to mathematical practice" in:
J. Barwise (ed.), Handbook of Mathematical Logic, North Holl …