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On expandability of models of Peano arithmetic. II

✍ Scribed by Roman Murawski


Publisher
Springer Netherlands
Year
1976
Tongue
English
Weight
584 KB
Volume
35
Category
Article
ISSN
0039-3215

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πŸ“œ SIMILAR VOLUMES


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## Abstract Let __M__ be a model of first order Peano arithmetic (**PA**) and __I__ an initial segment of __M__ that is closed under multiplication. Let__M__~0~ be the {0, 1,+}‐reduct of__M__. We show that there is another model __N__ of **PA** that is also an expansion of __M__~0~ such that __a__

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## Abstract In this paper, we investigate definable models of Peano Arithmetic PA in a model of PA. For any definable model __N__ without parameters in a model __M__, we show that __N__ is isomorphic to __M__ if __M__ is elementary extension of the standard model and __N__ is elementarily equivalen