Hilary Putnam on the philosophy of logic and mathematics

Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):183-200 (2018)
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Abstract

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.

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Theories and things.W. V. O. Quine (ed.) - 1981 - Cambridge, Mass.: Harvard University Press.
The concept of logical consequence.John Etchemendy - 1990 - Cambridge, Mass.: Harvard University Press.
Introduction to Mathematical Philosophy.Bertrand Russell - 1919 - Revue Philosophique de la France Et de l'Etranger 89:465-466.
A subject with no object: strategies for nominalistic interpretation of mathematics.John P. Burgess & Gideon Rosen - 1997 - New York: Oxford University Press. Edited by Gideon A. Rosen.

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