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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.
7
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What are the most attractive Turing undecidable problems in mathematics?
In relation to the undecidability for 3x3 matrices and the answer of
https://mathoverflow.net/users/1587/john-stillwell that
"The corresponding problem for 2×2 matrices is apparently still open":
…