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

Michele Friend
George Washington University
Andrea Pedeferri
George Washington University
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.
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