Peano arithmetic may not be interpretable in the monadic theory of linear orders

Journal of Symbolic Logic 62 (3):848-872 (1997)
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 will show here that it is consistent that the monadic second-order theory of no chain interprets Peano Arithmetic
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