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

Elizabeth F. Cooke
Creighton University
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.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/philmat/11.2.158
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 58,981
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

View all 7 citations / Add more citations

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.


Added to PP index

Total views
90 ( #113,914 of 2,427,504 )

Recent downloads (6 months)
7 ( #101,333 of 2,427,504 )

How can I increase my downloads?


My notes