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The structuralist view of mathematical objects

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This paper is based on lectures given to meetings of the Society for Exact Philosophy in Toronto, May 17, 1985, and of the Association for Symbolic Logic in Washington, DC, December 29, 1985. Some of the material had been presented in lectures at Dartmouth College in 1981 and at the University of Padua in 1983. I am indebted to comments from all four audiences, and also to correspondence with Michael Resnik and especially W. W. Tait. This paper was written while I was at Columbia University, to which I and it owe much. Support of the John Simon Guggenheim Memorial Foundation is gratefully acknowledged.

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Parsons, C. The structuralist view of mathematical objects. Synthese 84, 303–346 (1990). https://doi.org/10.1007/BF00485186

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