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Results tagged with theories-of-arithmetic
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user 62043
Theories of arithmetic in first-order logic, such as Peano arithmetic, second-order arithmetic, Heyting arithmetic, and their subsystems and extensions. Models of Peano arithmetic.
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Peano axioms— mathematical induction and other axioms
If you imagine N with a successor function of: s(n) = the next power of 2 larger than n, then we satisfy (1) and (2) but not (3) or (4). Unfortunately, (5) also doesn't seem to hold in this setting. ( …
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