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dc.contributor.authorBark, Katherine
dc.date.accessioned2017-08-31T17:29:59Z
dc.date.available2017-08-31T17:29:59Z
dc.identifier.urihttp://hdl.handle.net/10222/73242
dc.description.abstractThere has been a good deal of controversy over the expressive completeness of Wittgenstein’s operator N, presented in the Tractatus. James Connelly gives an explication of operator N in an attempt to dispel charges against its expressive capacities as the sole operator in Wittgenstein’s proposed logical system. Connelly argues that a proper appreciation of infinity as it was then understood by Wittgenstein is fundamental to the exculpation of N. I evaluate Connelly’s discussion and demonstration of actual as opposed to potential infinity. I then raise objections regarding Connelly’s conflation of actual infinity and finitude, and his introduction and use of notational variables within propositional expressions. I present mathematical induction and recursion as alternative methods for containing infinity. I consider Wittgenstein’s differentiation of logical form and logical structure, from which he attempts to, but cannot, justify semantic rule-formation based on syntactic rule-formation. I conclude that N is expressively and functionally incomplete.en_US
dc.language.isoenen_US
dc.subjectWittgensteinen_US
dc.subjectTractatus
dc.subjectN Operator
dc.subjectMathematical Induction and Recursion
dc.titleInfinity and Generality in the Tractatusen_US
dc.typeThesisen_US
dc.date.defence2017-08-24
dc.contributor.departmentDepartment of Philosophyen_US
dc.contributor.degreeMaster of Artsen_US
dc.contributor.external-examinern/aen_US
dc.contributor.graduate-coordinatorDr. Greg Scherkoskeen_US
dc.contributor.thesis-readerDr. Darren Abramsonen_US
dc.contributor.thesis-readerDr. Steven Burnsen_US
dc.contributor.thesis-supervisorDr. Duncan MacIntoshen_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.manuscriptsNot Applicableen_US
dc.contributor.copyright-releaseNot Applicableen_US
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