Wittgenstein on Mathematics and Certainties

This paper aims to contribute to the debate over epistemic versus non-epistemic readings of the ‘hinges’ in Wittgenstein’s On Certainty. I follow Marie McGinn’s and Daniele Moyal-Sharrock’s lead in developing an analogy between mathematical sentences and certainties, and using the former as a model...

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Bibliographic Details
Published in:International journal for the study of skepticism
Main Author: Kusch, Martin (Author)
Format: Electronic Article
Language:English
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Published: Brill 2016
In: International journal for the study of skepticism
Standardized Subjects / Keyword chains:B Wittgenstein, Ludwig 1889-1951, Über Gewissheit / Theorem / Certitude
Further subjects:B Wittgenstein Marie McGinn Daniele Moyal-Sharrock mathematics certainties
Online Access: Presumably Free Access
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Summary:This paper aims to contribute to the debate over epistemic versus non-epistemic readings of the ‘hinges’ in Wittgenstein’s On Certainty. I follow Marie McGinn’s and Daniele Moyal-Sharrock’s lead in developing an analogy between mathematical sentences and certainties, and using the former as a model for the latter. However, I disagree with McGinn’s and Moyal-Sharrock’s interpretations concerning Wittgenstein’s views of both relata. I argue that mathematical sentences as well as certainties are true and are propositions; that some of them can be epistemically justified; that in some senses they are not prior to empirical knowledge; that they are not ineffable; and that their primary function is epistemic as much as it is semantic.
ISSN:2210-5700
Contains:In: International journal for the study of skepticism
Persistent identifiers:DOI: 10.1163/22105700-00603004