A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Ehud Hrushovski; Ya'Acov Peterzil

doi:10.2178/jsl/1174668387

A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Ehud Hrushovski, Ya'Acov Peterzil

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	119-122
Number of pages	4
Journal	Journal of Symbolic Logic
Volume	72
Issue number	1
DOIs	https://doi.org/10.2178/jsl/1174668387
State	Published - Mar 2007

Bibliographical note

Funding Information:
Supported by ISF grant 244/03.

ASJC Scopus subject areas

Philosophy
Logic

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10.2178/jsl/1174668387

Cite this

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A question of Van Den Dries and a theorem of Lipshitz and Robinson; Not everything is standard

Abstract

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