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Model Theory formalizes the notion of "truth" in foundational mathematics of computer science. The axioms of powerful foundational theories of computer scien
by ProfHewitt 6y ago
Model Theory formalizes the notion of "truth" in foundational
mathematics of computer science. The axioms of powerful
foundational theories of computer science have just one model
up to a unique isomorphism. See
https://papers.ssrn.com/abstract=3418003 https://papers.ssrn.com/abstract=3418003 and https://papers.ssrn.com/abstract=3457802 https://papers.ssrn.com/abstract=3457802
The [Gödel 1930] "completeness theorem" is *false* for the
foundational theories of Computer Science because these
theories are inferentially incomplete, that is, not every
proposition can be proved or disproved.