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dc.contributor.advisorHoffman, Sarahen_US
dc.creatorPostnikoff, Dereken_US
dc.date.accessioned2014-06-13T12:00:14Z
dc.date.available2014-06-13T12:00:14Z
dc.date.created2014-04en_US
dc.date.issued2014-06-12en_US
dc.date.submittedApril 2014en_US
dc.identifier.urihttp://hdl.handle.net/10388/ETD-2014-04-1527en_US
dc.description.abstractTraditionally, mathematics and metaphor have been thought of as disparate: the former rigorous, objective, universal, eternal, and fundamental; the latter imprecise, derivative, nearly - if not patently - false, and therefore of merely aesthetic value, at best. A growing amount of contemporary scholarship argues that both of these characterizations are flawed. This dissertation shows that there are important connexions between mathematics and metaphor that benefit our understanding of both. A historically structured overview of traditional theories of metaphor reveals it to be a notion that is complicated, controversial, and inadequately understood; this motivates a non-traditional approach. Paradigmatically shifting the locus of metaphor from the linguistic to the conceptual - as George Lakoff, Mark Johnson, and many other contemporary metaphor scholars do - overcomes problems plaguing traditional theories and promisingly advances our understanding of both metaphor and of concepts. It is argued that conceptual metaphor plays a key role in explaining how mathematics is grounded, and simultaneously provides a mechanism for reconciling and integrating the strengths of traditional theories of mathematics usually understood as mutually incompatible. Conversely, it is shown that metaphor can be usefully and consistently understood in terms of mathematics. However, instead of developing a rigorous mathematical model of metaphor, the unorthodox approach of applying mathematical concepts metaphorically is defended.en_US
dc.language.isoengen_US
dc.subjectmathematical cognitionen_US
dc.subjectphilosophy of mathematicsen_US
dc.subjectphilosophy of languageen_US
dc.subjectfigurative languageen_US
dc.subjectmetametaphoren_US
dc.subjectmathematics educationen_US
dc.titleMetaphor and mathematicsen_US
thesis.degree.departmentInterdisciplinary Studiesen_US
thesis.degree.disciplineInterdisciplinary Studiesen_US
thesis.degree.grantorUniversity of Saskatchewanen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophy (Ph.D.)en_US
dc.type.materialtexten_US
dc.type.genreThesisen_US
dc.contributor.committeeMemberDayton, Ericen_US
dc.contributor.committeeMemberPfeifer, Karlen_US
dc.contributor.committeeMemberBremner, Murrayen_US
dc.contributor.committeeMemberGlanfield, Florenceen_US
dc.contributor.committeeMemberO'Hagan, Emeren_US


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