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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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why do the Computability theory choose the natural number as the object of study? [closed]
I am wondering why the computable function is defined in the natural number set. Can people give me the answer or some resources that can solve my puzzle.