Indispensability Arguments and Their Quinean Heritage

Disputatio 4 (32):343 - 360 (2012)

Authors
Andrea Sereni
Scuola Universitaria Superiore IUSS Pavia
Jacob Busch
University of Aarhus
Abstract
Indispensability arguments for mathematical realism are commonly traced back to Quine. We identify two different Quinean strands in the interpretation of IA, what we label the ‘logical point of view’ and the ‘theory-contribution’ point of view. Focusing on each of the latter, we offer two minimal versions of IA. These both dispense with a number of theoretical assumptions commonly thought to be relevant to IA. We then show that the attribution of both minimal arguments to Quine is controversial, and stress the extent to which this is so in both cases, in order to attain a better appreciation of the Quinean heritage of IA.
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DOI 10.2478/disp-2012-0003
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References found in this work BETA

Word and Object.W. QUINE - 1960 - MIT Press.
The Scientific Image.Bas C. Van Fraassen - 1980 - Journal of Philosophy 79 (5):274-283.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.
From a Logical Point of View.W. V. Quine - 1953 - Harvard University Press.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford University Press.

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