A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard

Details A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard A question of van den Dries and a theorem of Lipshitz and Robinson: Not everything is standard

2005-09-28

arxiv.org/abs/math/0509658v1

Mathematics

Logic

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We use a new construction of an o-minimal structure, due to Lipshitz and Robinson, to answer a question of van den Dries regarding the relationship between arbitrary o-minimal expansions of real closed fields and structures over the real numbers. We write a first order sentence which is true in the Lipshitz-Robinson structure but fails in any possible interpretation over the field of real numbers.

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