Oxford, England: Oxford University Press USA (1997)

Authors
Stewart Shapiro
Ohio State University
Abstract
Moving beyond both realist and anti-realist accounts of mathematics, Shapiro articulates a "structuralist" approach, arguing that the subject matter of a mathematical theory is not a fixed domain of numbers that exist independent of each other, but rather is the natural structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle.
Keywords arithmetic
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ISBN(s) 9780195094527   0195094522   0195139305
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Criteria of Identity and Structuralist Ontology.Hannes Leitgeb & James Ladyman - 2008 - Philosophia Mathematica 16 (3):388-396.

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