Non‐Factualism Versus Nominalism

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Abstract
The platonism/nominalism debate in the philosophy of mathematics concerns the question whether numbers and other mathematical objects exist. Platonists believe the answer to be in the positive, nominalists in the negative. According to non-factualists, the question is ‘moot’, in the sense that it lacks a correct answer. Elaborating on ideas from Stephen Yablo, this article articulates a non-factualist position in the philosophy of mathematics and shows how the case for non-factualism entails that standard arguments for rival positions fail. In particular, showing how and why non-factualists reject nominalism illuminates the originality and interest of their position.
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DOI 10.1111/papq.12116
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References found in this work BETA

Counterfactuals.David K. Lewis - 1973 - Blackwell.
There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
Contingentism in Metaphysics.Kristie Miller - 2010 - Philosophy Compass 5 (11):965-977.
Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.

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