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Indispensability, the Testing of Mathematical Theories, and Provisional Realism
University of Skövde, School of Life Sciences. University of Gothenburg.
2011 (English)In: Polish Journal of Philosophy, ISSN 1897-1652, E-ISSN 2154-3747, Polish Journal of Philosophy, ISSN 1897-1652, Vol. 5, no 2, 99-116 p.Article in journal (Refereed) Published
Abstract [en]

Mathematical concepts are explications, in Carnap's sense, of vague or otherwise unclear concepts; mathematical theories have an empirical and a deductive component. From this perspective, I argue that the empirical component of a mathematical theory may be tested together with the fruitfulness of its explications. Using these ideas, I furthermore give an argument for mathematical realism, based on the indispensability argument combined with a weakened version of confirmational holism

Place, publisher, year, edition, pages
Jagiellonian University Press, 2011. Vol. 5, no 2, 99-116 p.
National Category
Natural Sciences
Research subject
Natural sciences
Identifiers
URN: urn:nbn:se:his:diva-5918DOI: 10.5840/pjphil20115220OAI: oai:DiVA.org:his-5918DiVA: diva2:530688
Available from: 2012-06-04 Created: 2012-06-04 Last updated: 2016-12-29Bibliographically approved

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Sjögren, Jörgen
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CiteExportLink to record
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