Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics

Philosophia Mathematica 21 (1):9-36 (2013)
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Abstract

I contend that mathematical domains are freestanding institutional entities that, at least typically, are introduced to serve representational functions. In this paper, I outline an account of institutional reality and a supporting metaontological perspective that clarify the content of this thesis. I also argue that a philosophy of mathematics that has this thesis as its central tenet can account for the objectivity, necessity, and atemporality of mathematics

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Julian Cole
Buffalo State College

References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Fiction and Metaphysics.Amie L. Thomasson - 1998 - New York: Cambridge University Press.

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