Philosophia Mathematica 13 (2):135-159 (2005)

Authors
Jody Azzouni
Tufts University
Abstract
Formalism shares with nominalism a distaste for _abstracta_. But an honest exposition of the former position risks introducing _abstracta_ as the stuff of syntax. This article describes the dangers, and offers a new escape route from platonism for the formalist. It is explained how the needed role of derivations in mathematical practice can be explained, not by a commitment to the derivations themselves, but by the commitment of the mathematician to a practice which is in accord with a theory of derivations.
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DOI 10.1093/philmat/nki009
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References found in this work BETA

The Derivation-Indicator View of Mathematical Practice.Jody Azzouni - 2004 - Philosophia Mathematica 12 (2):81-106.
Theory, Observation and Scientific Realism.Jody Azzouni - 2004 - British Journal for the Philosophy of Science 55 (3):371-392.
Metaphysical Myths, Mathematical Practice: The Ontology and Epistemology of the Exact Sciences.[author unknown] - 1996 - British Journal for the Philosophy of Science 47 (4):621-626.
Thick Epistemic Access.Jody Azzouni - 1997 - Journal of Philosophy 94 (9):472 - 484.

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