In Mary Leng, Alexander Paseau & Michael Potter (eds.), Mathematical Knowledge. Oxford: Oxford University Press (2007)

Authors
Mary Leng
University of York
Abstract
Defends an account of mathematical knowledge in which mathematical knowledge is a kind of modal knowledge. Leng argues that nominalists should take mathematical knowledge to consist in knowledge of the consistency of mathematical axiomatic systems, and knowledge of what necessarily follows from those axioms. She defends this view against objections that modal knowledge requires knowledge of abstract objects, and argues that we should understand possibility and necessity in a primative way.
Keywords philosophy of mathematics   metaphysics   epistemology   modality
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There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
What Are Mathematical Coincidences ?M. Lange - 2010 - Mind 119 (474):307-340.
Predication as Ascription.David Liebesman - 2015 - Mind 124 (494):517-569.

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