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Nonstandard arithmetic of Hilbert subsets

โœ Scribed by Masahiro Yasumoto


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
523 KB
Volume
52
Category
Article
ISSN
0168-0072

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โœ Kazuma Ikeda; Akito Tsuboi ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 183 KB

## 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