Concept

Tennenbaum's theorem

Tennenbaum's theorem, named for Stanley Tennenbaum who presented the theorem in 1959, is a result in mathematical logic that states that no countable nonstandard model of first-order Peano arithmetic (PA) can be recursive (Kaye 1991:153ff). A structure in the language of PA is recursive if there are recursive functions and from to , a recursive two-place relation

Official source

https://en.wikipedia.org/wiki/Tennenbaum's_theorem

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