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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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Textbook recommendations for undergraduate proof-writing class
I use "Proof: An Introduction to Higher Mathematics," by Esty & Esty (my father and me). We self-publish, in order to keep it relatively cheap--I think bookstores sell it for about $45, depending on …