Some naturalistic reflections on set theoretic method

Topoi 20 (1):17-27 (2001)
  Copy   BIBTEX

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.

Categories

Keywords

Reprint years

2004

DOI

10.1023/a:1010604808920

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,846

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Philosophy, mathematics, science and computation.Enrique V. Kortright - 1994 - Topoi 13 (1):51-60.
Essays on the foundations of mathematics.Moritz Pasch - 2010 - New York: Springer. Edited by Stephen Pollard.
On realism in set theory.Emily Carson - 1996 - Philosophia Mathematica 4 (1):3-17.
The indispensability argument and multiple foundations for mathematics.Alan Baker - 2003 - Philosophical Quarterly 53 (210):49–67.
Naturalism in mathematics.Penelope Maddy - 1997 - New York: Oxford University Press.
Reflections on mathematics.Edward N. Zalta - 2007 - In V. F. Hendricks & Hannes Leitgeb (eds.), Philosophy of Mathematics: Five Questions. Automatic Press/VIP.
The applicability of mathematics as a scientific and a logical problem.Feng Ye - 2010 - Philosophia Mathematica 18 (2):144-165.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Applying inconsistent mathematics.Mark Colyvan - unknown
Towards a Philosophy of Applied Mathematics.Christopher Pincock - 2009 - In Otávio Bueno & Øystein Linnebo (eds.), New Waves in Philosophy of Mathematics. Palgrave-Macmillan.

Analytics

Added to PP
2009-01-28

Downloads
177 (#110,261)

6 months
12 (#213,237)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

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.
Naturalism, Truth and Beauty in Mathematics.Matthew E. Moore - 2007 - Philosophia Mathematica 15 (2):141-165.
Naturalizing dissension.Matthew E. Moore - 2006 - Pacific Philosophical Quarterly 87 (3):325–334.

Add more citations

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.

View all 8 references / Add more references