dc.contributor.author | Bark, Katherine | |
dc.date.accessioned | 2017-08-31T17:29:59Z | |
dc.date.available | 2017-08-31T17:29:59Z | |
dc.date.issued | 2017-08-31T17:29:59Z | |
dc.identifier.uri | http://hdl.handle.net/10222/73242 | |
dc.description.abstract | There 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.iso | en | en_US |
dc.subject | Wittgenstein | en_US |
dc.subject | Tractatus | |
dc.subject | N Operator | |
dc.subject | Mathematical Induction and Recursion | |
dc.title | Infinity and Generality in the Tractatus | en_US |
dc.type | Thesis | en_US |
dc.date.defence | 2017-08-24 | |
dc.contributor.department | Department of Philosophy | en_US |
dc.contributor.degree | Master of Arts | en_US |
dc.contributor.external-examiner | n/a | en_US |
dc.contributor.graduate-coordinator | Dr. Greg Scherkoske | en_US |
dc.contributor.thesis-reader | Dr. Darren Abramson | en_US |
dc.contributor.thesis-reader | Dr. Steven Burns | en_US |
dc.contributor.thesis-supervisor | Dr. Duncan MacIntosh | en_US |
dc.contributor.ethics-approval | Not Applicable | en_US |
dc.contributor.manuscripts | Not Applicable | en_US |
dc.contributor.copyright-release | Not Applicable | en_US |