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Resnik’s structuralism in the light of history of mathematics

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    0496959 - FLÚ 2019 RIV GB eng J - Journal Article
    Kvasz, Ladislav
    Resnik’s structuralism in the light of history of mathematics.
    Journal of Applied Logics: IfCoLog Journal of Logics and their Application. Roč. 5, č. 6 (2018), s. 1307-1335. ISSN 2055-3706. E-ISSN 2055-3714
    Institutional support: RVO:67985955
    Keywords : Resnik * structuralism * history of mathematics * idealization * naturalism * indispensability * abstract objects
    OECD category: Philosophy, History and Philosophy of science and technology
    Method of publishing: Open access
    http://www.collegepublications.co.uk/downloads/ifcolog00026.pdf

    The aim of this paper is to juxtapose with the history of mathematics the basic principles of structuralism presented by Michael Resnik in his Mathematics as a Science of Patterns. This juxtaposition shows that Resnik’s structuralism has sufficient conceptual resources to offer a plausible interpretation of the historical material, whilst also pointing to some problems within Resnik’s theory.
    Permanent Link: http://hdl.handle.net/11104/0290147

     
     
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