Is Mathematics the Theory of Instantiated Structural Universals?

Transylvanian Review 22:132-142 (2013)
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Abstract

This paper rejects metaphysical realism about structural universals as a basis for mathematical realism about numbers, and argues that one construal of structural universals via non-well-founded sets should be resisted by the mathematical realist.

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References found in this work

Universals and scientific realism.David Malet Armstrong - 1978 - New York: Cambridge University Press.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.
Mathematics as a science of patterns.Michael David Resnik - 1997 - New York ;: Oxford University Press.
Against structural universals.David K. Lewis - 1986 - Australasian Journal of Philosophy 64 (1):25 – 46.
Universals and Scientific Realism.Laurence Goldstein - 1979 - Philosophical Quarterly 29 (117):360-362.

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