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Results tagged with lo.logic
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user 3384
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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What is the high-concept explanation on why real numbers are useful in number theory?
I would like to say that at least to some extent we need the real numbers and not just rational approximations.
Suppose we were being completely formal and we asked the question, ``Is there some alge …