Date of Graduation

Spring 2015

Document Type

Honors Research Project



Research Sponsor

Dr. Joseph Li Vecchi

First Reader

Dr. Christopher Buford

Second Reader

Dr. John Huss


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.



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