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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.

10 votes
4 answers
5k views

"Introduction to mathematical logic" book from a formalist perspective

I'm looking for books that introduce the reader to mathematical logic assuming the perspective of a formalist. I've found that many books are more or less written for the platonist - like Kunen's Fou …
0 votes
1 answer
471 views

An informal version of the recursion theorem

In T. Taos Analysis 1 book, on page 26, we have a proposition that tells us that recursive definitions are actually well-defined. Proposition 2.1.16: Suppose for each naturla number $n$, wh have s …