Synthese 125 (3):341-383 (2000)

Erich Reck
University of California, Riverside
In recent philosophy of mathematics avariety of writers have presented ``structuralist''views and arguments. There are, however, a number ofsubstantive differences in what their proponents take``structuralism'' to be. In this paper we make explicitthese differences, as well as some underlyingsimilarities and common roots. We thus identifysystematically and in detail, several main variants ofstructuralism, including some not often recognized assuch. As a result the relations between thesevariants, and between the respective problems theyface, become manifest. Throughout our focus is onsemantic and metaphysical issues, including what is orcould be meant by ``structure'' in this connection.
Keywords Philosophy   Philosophy   Epistemology   Logic   Metaphysics   Philosophy of Language
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DOI 10.1023/A:1005203923553
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References found in this work BETA

Mathematics as a Science of Patterns.Michael D. Resnik - 1997 - New York ;Oxford University Press.
Mathematics Without Foundations.Hilary Putnam - 1967 - Journal of Philosophy 64 (1):5-22.
Structure in Mathematics and Logic: A Categorical Perspective.S. Awodey - 1996 - Philosophia Mathematica 4 (3):209-237.
Truth in a Structure.Wilfrid Hodges - 1986 - Proceedings of the Aristotelian Society 86:135 - 151.

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Citations of this work BETA

I—James Ladyman: On the Identity and Diversity of Objects in a Structure.James Ladyman - 2007 - Aristotelian Society Supplementary Volume 81 (1):23-43.

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Structure in Mathematics.Saunders Lane - 1996 - Philosophia Mathematica 4 (2):174-183.
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