Fictionalism and Mathematical Objectivity

In Mircea Dumitru, Mircea Flonta & Valentin Muresan (eds.), Metaphysics and Science. Dedicated to professor Ilie Pârvu. Universty of Bucharest Press. pp. 137-158 (2012)
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Abstract

This paper, written in Romanian, compares fictionalism, nominalism, and neo-Meinongianism as responses to the problem of objectivity in mathematics, and then motivates a fictionalist view of objectivity as invariance.

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Philosophy of Mathematics and Natural Science.Hermann Weyl - 1949 - Princeton, N.J.: Princeton University Press. Edited by Olaf Helmer-Hirschberg & Frank Wilczek.
Invariances: the structure of the objective world.Robert Nozick - 2001 - Cambridge, Mass.: Belknap Press of Harvard University Press.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - The American Mathematical Monthly 54 (9):515--525.

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