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Philosophy of Mathematics: Structure and Ontology
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Philosophy of Mathematics: Structure and Ontology Paperback / softback - 2000

by Stewart Shapiro

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Paperback / softback. New. A structuralist approach to mathematical theory in which Shapiro argues that both realist and anti-realist accounts of mathematics are problematic . He claims that mathematical theory is not a fixed domain of numbers that exist independent of one another, but a natural structure with an initial object and successor relation.
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First line

For a long time, many philosophers and some mathematics believed that philosophical matters, such as metaphysics and ontology, determine the proper practice of mathematics.

About the author


Stewart Shapiro is Professor of Philosophy at Ohio State University at Newark and the University of St. Andrews, Scotland.