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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.
2
votes
Ask for recommendations for textbook on mathematical logic
I suggest "A Course in Mathematical Logic for Mathematicians" : http://www.amazon.com/Course-Mathematical-Mathematicians-Graduate-Mathematics/dp/1441906142/ref=sr_1_1?s=books&ie=UTF8&qid=1302892207&sr …
5
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Do you believe P=NP? [closed]
Do you believe P=NP?
I've seen some mathematicians say that if P=NP their work would be worthless and restricted to enunciating theorems. They seem to believe that there exist an almost philosophical …