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oaioai:ideaexchange.uakron.edu:honors_research_projects-1049

Philosophy of Mathematics: Theories and Defense

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Publication date
1 January 2015
Publisher
IdeaExchange@UAkron

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

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This paper was published in The University of Akron.

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