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 Peano arithmetic (PA) can be recursive.

Read more about Tennenbaum's Theorem:  Recursive Structures For PA, Statement of The Theorem

Famous quotes containing the word theorem:

    To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
    Albert Camus (1913–1960)