The limits of abstraction

New York: Oxford University Press. Edited by Matthias Schirn (2002)
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Abstract

Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits ofion breaks new ground both technically and philosophically.

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Kit Fine
New York University

Citations of this work

Frege, Kant, and the logic in logicism.John MacFarlane - 2002 - Philosophical Review 111 (1):25-65.
Neo-Fregean ontology.Matti Eklund - 2006 - Philosophical Perspectives 20 (1):95-121.
Neo-fregeanism and quantifier variance.Theodore Sider - 2007 - Aristotelian Society Supplementary Volume 81 (1):201–232.
Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
Metaontological Minimalism.Øystein Linnebo - 2012 - Philosophy Compass 7 (2):139-151.

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