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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.
1
vote
Intro to automatic theorem proving / logical foundations?
Have you heard of the Coq proof assistant? It is quite popular here in France. The official webpage contains good documetation.
37
votes
What are some reasonable-sounding statements that are independent of ZFC?
Paul Erdős proved a funny statement about analytic functions to be equivalent to the continuum hypothesis. The same proof can also be found in Proofs from THE BOOK.
Let $\{f \}$ be a family of pai …