Philosophia Mathematica 27 (3):303-315 (2019)

Authors
Michael Resnik
University of North Carolina, Chapel Hill
Abstract
ABSTRACT Historical structuralist views have been ontological. They either deny that there are any mathematical objects or they maintain that mathematical objects are structures or positions in them. Non-ontological structuralism offers no account of the nature of mathematical objects. My own structuralism has evolved from an early sui generis version to a non-ontological version that embraces Quine’s doctrine of ontological relativity. In this paper I further develop and explain this view.
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DOI 10.1093/philmat/nky002
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Naming and Necessity.Saul Kripke - 1980 - Harvard University Press.

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