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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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addition of definable numbers decidable?
Define a number generating machine to be a total turing machine running on input alphabet {0,1} (or, any ary), that given input n (in binary) outputs a digit (binary or decimal or whatever).
Given su …