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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.
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How do we construct the Gödel’s sentence in Martin-Löf type theory?
I think we can assume MLTT is a formal system of the usual kind. Therefore, in formal arithmetic using Gödel numbering we can formulate the arithemetic statement con(MLTT), stating the consistency of …