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Tennenbaum's theorem

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Applied mathematics Mathematical modeling Model theory
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Tennenbaum's theorem is a result in mathematical logic, specifically in the field of model theory. It states that there is no non-standard model of Peano arithmetic (PA) that satisfies the conditions of being both a model of PA and having a linear ordering of its elements that corresponds to the standard ordering of the natural numbers.

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