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dc.contributor.advisorSullivan, Peter M.
dc.contributor.authorTrevino-Tarango, Martha Alicia
dc.coverage.spatial110en_US
dc.date.accessioned2013-06-13T08:27:46Z
dc.date.available2013-06-13T08:27:46Z
dc.date.issued2013-06
dc.identifier.urihttp://hdl.handle.net/10023/3679
dc.description.abstractThis work analyses and defends Wittgenstein's definition of mathematical objectivity, looking particularly at his account of mathematical proofs, of what makes them normative, and what role mathematical and linguistic practices play in their establishment. It aims to provide a clearer view of Wittgenstein's idea that the objectivity of proofs is inextricably rooted in empirical regularities, detected within what he calls our 'form of life', and which are in turn constituted by both regularities in nature and regularities in human practices. To accomplish this, the thesis makes an exhaustive analysis of Wittgenstein distinction between proofs and experiments. Drawing from Wittgenstein's philosophy of language, this paper addresses important criticisms that have hindered a serious study of his remarks on mathematics, and vindicates his arguments as cogent, solid accounts of mathematical necessity and practice. This exploration will show that mathematical proofs do not have to be regarded as tools for the discovery of mathematical truths, of any sort, that depict mathematical facts, but can be correctly characterised as norms that produce new understanding, forming new concepts to deal with reality, and which ultimately affect the very limits of intelligibility, of what we can think, express and do. Thus, a philosophically relevant link between mathematical proofs and possibilities of action is set.en_US
dc.language.isoenen_US
dc.publisherUniversity of St Andrews
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subjectPhilosophy of mathematicsen_US
dc.subjectWittgensteinen_US
dc.subjectMathematical proofen_US
dc.subjectMathematical objectivityen_US
dc.subjectMathematical practiceen_US
dc.subjectPhilosophy of languageen_US
dc.subjectForm of lifeen_US
dc.subject.lccB3376.W564T84
dc.subject.lcshWittgenstein, Ludwig, 1889-1951en_US
dc.subject.lcshObjectivityen_US
dc.subject.lcshMathematics--Philosophyen_US
dc.titleOn Wittgenstein's notion of the objectivity of mathematical proofsen_US
dc.typeThesisen_US
dc.type.qualificationlevelDoctoralen_US
dc.type.qualificationnameMPhil Master of Philosophyen_US
dc.publisher.institutionThe University of St Andrewsen_US
dc.publisher.departmentUniversity of Stirlingen_US


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Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported
Except where otherwise noted within the work, this item's license for re-use is described as Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported