A Question of Van Den Dries and a Theorem of Lipshitz and Robinson; Not Everything Is Standard

Journal of Symbolic Logic 72 (1):119 - 122 (2007)

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
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DOI 10.2178/jsl/1174668387
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