Date of Graduation

Spring 2015

Document Type

Honors Research Project

Major

Philosophy

Research Sponsor

Dr. Joseph Li Vecchi

First Reader

Dr. Christopher Buford

Second Reader

Dr. John Huss

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.

Share

COinS