Logic and Philosophy of Science 9 (1):173-180 (2011)

Authors
Michele Friend
George Washington University
Andrea Pedeferri
George Washington University
Abstract
In this paper we try to convert the mathematician who calls himself, or herself, “a formalist” to a position we call “meth-odological pluralism”. We show how the actual practice of mathe-matics fits methodological pluralism better than formalism while preserving the attractive aspects of formalism of freedom and crea-tivity. Methodological pluralism is part of a larger, more general, pluralism, which is currently being developed as a position in the philosophy of mathematics in its own right.1 Having said that, henceforth, in this paper, we abbreviate “methodological pluralism” with “pluralism”.
Keywords Pluralism  Formalism  Mathematical practice
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References found in this work BETA

Logical Pluralism.Jc Beall & Greg Restall - 2000 - Australasian Journal of Philosophy 78 (4):475 – 493.
Formalism.Michael Detlefsen - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 236--317.
Pluralism and “Bad” Mathematical Theories: Challenging Our Prejudices.Michèle Friend - 2013 - In Francesco Berto, Edwin Mares, Koji Tanaka & Francesco Paoli (eds.), Paraconsistency: Logic and Applications. Springer. pp. 277--307.
Hilbert and Logic.Michael Hallett - 1996 - In Mathieu Marion & RobertS Cohen (eds.), ¸ Itemarioncohen1996. Springer Verlag. pp. 135-187.
Classified.[author unknown] - 1976 - Proceedings and Addresses of the American Philosophical Association 50 (1):20-20.

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