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Julian Cole, Towards an Institutional Account of the Objectivity, Necessity, and Atemporality of Mathematics, Philosophia Mathematica, Volume 21, Issue 1, February 2013, Pages 9–36, https://doi.org/10.1093/philmat/nks019
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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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