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Holism and Indispensability
University of Skövde, School of Life Sciences. Department of Philosophy, Linquistics, Theory of Science, University of Gothenburg, Sweden.
2012 (English)In: Logique et Analyse, ISSN 0024-5836, E-ISSN 2295-5836, Vol. 55, no 219, 463-476 p.Article in journal (Refereed) Published
Abstract [en]

One questioned premiss in the indispensability argument of Quine and Putnam is confirmational holism. In this paper I argue for a weakened form of holism, and thus a strengthened version of the indispensability argument. The argument is based on an idea of concept formation in mathematics. Mathematical concepts are arrived at via a sequence of explications, in Carnap's sense, of non-clear, originally empirical, concepts. I identify a deductive and an empirical component in mathematical concepts. In a test situation the use of the empirical component, but not of the deductive one, is corroborated or falsified together with the scientific theory.

Place, publisher, year, edition, pages
Centre national de recherches de Logique (Belgien) , 2012. Vol. 55, no 219, 463-476 p.
National Category
Mathematics
Research subject
Natural sciences
Identifiers
URN: urn:nbn:se:his:diva-7149ISI: 000310114800005Scopus ID: 2-s2.0-84867427823OAI: oai:DiVA.org:his-7149DiVA: diva2:604502
Available from: 2013-02-11 Created: 2013-02-07 Last updated: 2016-01-07Bibliographically approved

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Scopushttp://virthost.vub.ac.be/lnaweb/ojs/index.php/LogiqueEtAnalyse/article/view/1835

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