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Abstract

We discuss the notion of truth in Mathematics as relative to certain struc­tures, very much in line with Bernays’s conception of “bezogene Existent”. Looking to some concrete examples, we argue that even so-called non-standard structures may have their own rationale. As a result, and in accordance with Bourbaki, struc­tures turn out to be tools and have to be judged with respect to their usefulness rather than with respect to a concept of mathematical truth simpliciter.

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Source: Agazzi E. (ed.). Varieties of Scientific Realism: Objectivity and Truth in Science. Springer,2017. — 411 pp.. 2017

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