Date of Expected Graduation
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.
Dr. Joseph Li Vecchi
Dr. Christopher Buford
Dr. John Huss
Maffit, Amy E., "Philosophy of Mathematics: Theories and Defense" (2015). Williams Honors College, Honors Research Projects. 124.