Date of Last Revision

2015-05-05 09:02:20

Major

Philosophy

Date of Expected Graduation

Spring 2015

Abstract

In this paper I discuss six philosophical theories of mathematics including logicism, intuitionism, formalism, platonism, structuralism, and moderate realism. I also discuss problems that arise within these theories and attempts to solve them. Finally, I attempt to harmonize the best features of moderate realism and structuralism, presenting a theory that I take to best describe current mathematical practice.

Research Sponsor

Dr. Joseph Li Vecchi

First Reader

Dr. Christopher Buford

Second Reader

Dr. John Huss

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