Describing mathematics without revision: Wittgenstein's radical constructivism

dc.contributor.authorLadeira, Thiago
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorRodych, Victor
dc.date.accessioned2021-01-18T15:46:23Z
dc.date.available2021-01-18T15:46:23Z
dc.date.issued2020
dc.degree.levelMastersen_US
dc.description.abstractIn this thesis, I present a critical exposition of Wittgenstein’s philosophy of mathematics, and attempt to show that Wittgenstein’s philosophy of mathematics constitutes a viable alternative to the Standard View of mathematics. To this end, I show that there are two important interpretations that support the Standard View: a) Platonism; and b) Modalism. I argue that neither Platonism nor Modalism can provide a satisfactory account of mathematics. In explicating Wittgenstein’s Finitistic Constructivist interpretation of mathematics, I endeavour to emphasize the main reasons why Wittgenstein's descriptive account of mathematics is better that either variant of the Standard View. Wittgenstein’s formalistic view better captures what mathematicians do, and it better evaluates and rejects some verbal interpretations that mathematicians attach to their work.en_US
dc.identifier.urihttps://hdl.handle.net/10133/5830
dc.language.isoen_USen_US
dc.proquest.subjectPhilosophy [0422]en_US
dc.proquest.subjectMathematics [0405]en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Philosophyen_US
dc.publisher.departmentDepartment of Philosophyen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectConstructive realismen_US
dc.subjectConstructivism (Philosophy)en_US
dc.subjectDissertations, Academicen_US
dc.subjectLogicen_US
dc.subjectLogic, Symbolic and mathematicalen_US
dc.subjectMathematicsen_US
dc.subjectMathematics -- Philosophyen_US
dc.titleDescribing mathematics without revision: Wittgenstein's radical constructivismen_US
dc.typeThesisen_US
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