Peano Arithmetic may not be interpretable in the monadic theory of orders

Shmuel Lifsches; Saharon Shelah

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Peano Arithmetic may not be interpretable in the monadic theory of orders

Shmuel Lifsches·Saharon Shelah

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Abstract

Gurevich and Shelah have shown that Peano Arithmetic cannot be interpreted in the monadic second-order theory of short chains (hence, in the monadic second-order theory of the real line). We show here that it is consistent that there is no interpretation even in the monadic second-order theory of all chains.

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BibTeX RIS

Shmuel Lifsches, Saharon Shelah. 1993-08-15. Peano Arithmetic may not be interpretable in the monadic theory of orders. https://arxiv.org/abs/math/9308219

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