Date of Last Revision
2023-05-02 14:06:42
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
Recommended Citation
Maffit, Amy E., "Philosophy of Mathematics: Theories and Defense" (2015). Williams Honors College, Honors Research Projects. 124.
https://ideaexchange.uakron.edu/honors_research_projects/124
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