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computable sets and functions, Turing degrees, c.e. degrees, models of computability, primitive recursion, oracle computation, models of computability, decision problems, undecidability, Turing jump, halting problem, notions of computable randomness, computable model theory, computable equivalence relation theory, arithmetic and hyperarithmetic hierarchy, infinitary computability, $\alpha$-recursion, complexity theory.

15 votes

Is there a computable model of ZFC?

No, it cannot be computable. It's a theorem of Tennenbaum from the 50's that there is no computable, non-standard model of Peano arithmetic. If there were a computable model of ZFC, then it would gi …
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