Mathematics, Meaning, and Commitment

dc.contributor.authorSmith, Mark Charles Reginalden
dc.contributor.departmentPhilosophyen
dc.contributor.supervisorMercier, Adeleen
dc.date2009-04-30 09:40:15.276
dc.date.accessioned2009-05-05T13:29:08Z
dc.date.available2009-05-05T13:29:08Z
dc.date.issued2009-05-05T13:29:08Z
dc.degree.grantorQueen's University at Kingstonen
dc.descriptionThesis (Ph.D, Philosophy) -- Queen's University, 2009-04-30 09:40:15.276en
dc.description.abstractThis thesis offers a defence of realism in mathematics, principally through an a priori re-construal of the indispensability argument as revelatory of the commitments of mathematical thought. Following the articulation and defence of that argument—called the ‘argument from constraint’—in the first chapter, I address semantic and metaphysical consequences and objections in turn. The second chapter broaches the value of Fregean semantics for arithmetical language, and the indispensability of semantic considerations in accounting for mathematical thought. The third chapter assesses and responds to objections from the fictionalist account of mathematical thought and meaning, and the final chapter articulates a programmatic proposal for mathematical epistemology.en
dc.description.degreePhDen
dc.format.extent876106 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1974/1869
dc.language.isoengen
dc.relation.ispartofseriesCanadian thesesen
dc.rightsThis publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.en
dc.subjectPhilosophyen
dc.subjectMathematicsen
dc.titleMathematics, Meaning, and Commitmenten
dc.typethesisen
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