Mathematical truth revisited

Mathematics as a toolbox

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We discuss the notion of truth in Mathematics as relative to certain structures, very much in line with Bernays’s conception of “bezogene Existenz”. 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.

Original languageEnglish
Title of host publicationVarieties of Scientific Realism
Subtitle of host publicationObjectivity and Truth in Science
PublisherSPRINGER INTERNATIONAL PUBLISHING AG
Pages395-406
Number of pages12
ISBN (Electronic)978-331951608-0
ISBN (Print)978-331951607-3
DOIs
Publication statusPublished - 1 Jan 2017

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Kahle, R. (2017). Mathematical truth revisited: Mathematics as a toolbox. In Varieties of Scientific Realism: Objectivity and Truth in Science (pp. 395-406). SPRINGER INTERNATIONAL PUBLISHING AG. https://doi.org/10.1007/978-3-319-51608-0_22