Philosophia Mathematica 11 (2):158-175 (2003)
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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.
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| DOI | 10.1093/philmat/11.2.158 |
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References found in this work BETA
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.
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Citations of this work BETA
Scientists’ Ontological and Epistemological Views About Science From the Perspective of Critical Realism.Robyn Yucel - 2018 - Science & Education 27 (5-6):407-433.
Bohr and the Photon.John Stachel - 2009 - In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 69--83.
Indeterminação e fenômenos fronteiriços: considerações segundo o ponto de vista do pragmatismo peirceano.Jorge de Barros Pires & Lauro Frederico Barbosa da Silveira - 2013 - Trans/Form/Ação 36 (2):219-240.
Peirce's Law of Triviality: The Implementation of the Trivium of Logic, Rhetoric and Grammar. Basic Categories for Linguistics and Literature Studies From a Universal Semiotic Theory.Fee-Alexandra Haase - 2010 - Lodz Papers in Pragmatics 6 (1):29-48.
Balancing Necessity and Fallibilism: Charles Sanders Peirce on the Status of Mathematics and its Intersection with the Inquiry Into Nature.Ronald Anderson - 2009 - In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 15--42.
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Peirce and the Logic of Fallibilism.James O. Bennett - 1982 - Transactions of the Charles S. Peirce Society 18 (4):353 - 366.
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