Some naturalistic reflections on set theoretic method

Topoi 20 (1):17-27 (2001)
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Abstract

My ultimate goal in this paper is to illuminate, from a naturalistic point of view, the significance of the application of mathematics in the natural sciences for the practice of contemporary set theory.

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2004

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10.1023/a:1010604808920

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Penelope J. Maddy
University of California, Irvine

Citations of this work

Axioms in Mathematical Practice.Dirk Schlimm - 2013 - Philosophia Mathematica 21 (1):37-92.
Mathematical existence.Penelope Maddy - 2005 - Bulletin of Symbolic Logic 11 (3):351-376.
Naturalizing dissension.Matthew E. Moore - 2006 - Pacific Philosophical Quarterly 87 (3):325–334.
Naturalism, Truth and Beauty in Mathematics.Matthew E. Moore - 2007 - Philosophia Mathematica 15 (2):141-165.

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References found in this work

Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.
What is Cantor's Continuum Problem?Kurt Gödel - 1947 - The American Mathematical Monthly 54 (9):515--525.
The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Mathematical Thought from Ancient to Modern Times.M. Kline - 1978 - British Journal for the Philosophy of Science 29 (1):68-87.

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