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University of Illinois at Urbana-Champaign
A Defense of Arithmetical Platonism (Variations on a Theme by Kitcher)
Abstract
dc:descriptionIn The Nature of Mathematical Knowledge (1984) Philip Kitcher develops an exciting and insightful picture of arithmetical reality by considering mathematical activities--not objects--as ontologically primitive. Yet, his account goes astray because of his nominalistic interpretation of the properties of human activity, resulting in an implausible modal view of the truth of arithmetical statements.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Philosophy
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2014
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Norton-Smith, Thomas Michael
- Contributors dc:contributor
-
- Wagner, Steven J.
Subjects
dc:subject × 2Identifiers
dc:identifier.*- Identifier
- (UMI)AAI8823216
- OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/71566