Abstract
In any nonstandard model of Peano arithmetic, the standard part is not first-order definable. But we show that in some model the standard part is definable as the unique solution of a formula $\varphi(P)$, where P is a unary predicate variable.
Citation
Saharon Shelah. Akito Tsuboi. "Definability of Initial Segments." Notre Dame J. Formal Logic 43 (2) 65 - 73, 2002. https://doi.org/10.1305/ndjfl/1071509428
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