Open Access. Powered by Scholars. Published by Universities.®

Philosophy Commons

Open Access. Powered by Scholars. Published by Universities.®

Philosophy

Physical Sciences and Mathematics

The University of Akron

Articles 1 - 1 of 1

Full-Text Articles in Philosophy

Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit Jan 2015

Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit

Williams Honors College, Honors Research Projects

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.