Mathematics, Meaning, and Commitment
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Authors
Smith, Mark Charles Reginald
Date
2009-05-05T13:29:08Z
Type
thesis
Language
eng
Keyword
Philosophy , Mathematics
Alternative Title
Abstract
This 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.
Description
Thesis (Ph.D, Philosophy) -- Queen's University, 2009-04-30 09:40:15.276
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License
This 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.