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Putnam and the Indispensability of Mathematics

Principia: An International Journal of Epistemology 17 (2):217 (2013)

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Putnam and contemporary fictionalism.Concha Martínez Vidal - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):165-181.details Putnam rejects having argued in the terms of the argument known in the literature as “the Quine-Putnam indispensability argument”. He considers that mathematics contribution to physics does not have to be interpreted in platonist terms but in his favorite modal variety. The purpose of this paper is to consider Putnam’s acknowledged argument and philosophical position against contemporary so called in the literature ‘fictionalist’ views about applied mathematics. The conclusion will be that the account of the applicability of mathematics that stems (...) Download Export citation Bookmark
Empirically Grounded Philosophical Theorizing.O. Bueno & S. A. Shalkowski - unknowndetails Download Export citation Bookmark 1 citation
Hilary Putnam on the philosophy of logic and mathematics.José Miguel Sagüillo - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):183-200.details I discuss Putnam’s conception of logical truth as grounded in his picture of mathematical practice and ontology. i begin by comparing Putnam’s 1971 Philosophy of Logic with Quine’s homonymous book. Next, Putnam’s changing views on modality are surveyed, moving from the modal pre-formal to the de-modalized formal characterization of logical validity. Section three suggests a complementary view of Platonism and modalism underlying different stages of a dynamic mathematical practice. The final section argues for the pervasive platonistic conception of the working (...) mathematician. (shrink) Download Export citation Bookmark

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