Logan, Shay2015-11-062015-11-062015-08https://hdl.handle.net/11299/175237University of Minnesota Ph.D. dissertation. August 2015. Major: Philosophy. Advisors: Geoffrey Hellman, Roy Cook. 1 computer file (PDF); vii, 97 pages.The essays in this collection concern two subjects, each of which falls within the purview of the philosophy of mathematics. The first three essays concern the philosophical status of category theory. The last essay concerns the possibility of a social constructivism regarding mathematicalia.enCategory TheoryFormal SemanticsNeologicismPhilosophy of MathematicsSocial ConstructivismThesis or Dissertation