Peirce, fallibilism, and the science of mathematics

Philosophia Mathematica 11 (2):158-175 (2003)
  Copy   BIBTEX

Abstract

In this paper, it will be shown that Peirce was of two minds about whether his scientific fallibilism, the recognition of the possibility of error in our beliefs, applied to mathematics. It will be argued that Peirce can and should hold a theory of fallibilism within mathematics, and that this position is more consistent with his overall pragmatic theory of inquiry and his general commitment to the growth of knowledge. But to make the argument for fallibilism in mathematics, Peirce's theory of fallibilism must be reconceived to incorporate two different kinds of fallibilism, which correspond to two different kinds of truth claims.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,330

External links

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

Through your library

Similar books and articles

Fallibilism.Stephen Hetherington - 2005 - Internet Encyclopedia of Philosophy.
Fallibilism, Factivity and Epistemically Truth-Guaranteeing Justification.Boris Rähme - 2007 - In Nils Gilje & Harald Grimen (eds.), Discursive Modernity. Universitetsforlaget.
How to think about fallibilism.Baron Reed - 2002 - Philosophical Studies 107 (2):143-157.
Peirce, Levi, and the aims of inquiry.Cheryl Misak - 1987 - Philosophy of Science 54 (2):256-265.
Peirce and the Logic of Fallibilism.James O. Bennett - 1982 - Transactions of the Charles S. Peirce Society 18 (4):353 - 366.
Peirce's Fallibilism.Joseph Margolis - 1998 - Transactions of the Charles S. Peirce Society 34 (3):535 - 569.
Rethinking Peirce's fallibilism.Joseph Margolis - 2007 - Transactions of the Charles S. Peirce Society 43 (2):229-249.

Analytics

Added to PP
2009-01-28

Downloads
105 (#150,882)

6 months
4 (#305,365)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Elizabeth F. Cooke
Creighton University

References found in this work

Peirce.Christopher Hookway - 1985 - New York: Routledge. Edited by Ted Honderich.
The development of Peirce's philosophy.Murray G. Murphey - 1961 - Cambridge, Mass.,: Harvard University Press.
The Development of Peirce's Philosophy.Murray G. Murphey - 1961 - Les Etudes Philosophiques 18 (2):228-229.
Peirce.Christopher Hookway - 1999 - In Ted Honderich (ed.), The Philosophers: Introducing Great Western Thinkers. Oxford University Press.
Peirce.Timothy H. Engstrom & Christopher Hookway - 1989 - Philosophical Quarterly 39 (155):248.

View all 8 references / Add more references