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On diagonal argument, Russell absurdities and an uncountable notion of lingua characterica

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dc.contributor.advisor Brown, Bryson
dc.contributor.author King, James Douglass
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2007-05-13T20:28:29Z
dc.date.available 2007-05-13T20:28:29Z
dc.date.issued 2004
dc.identifier.uri http://hdl.handle.net/10133/225
dc.description vii, 111 leaves ; 29 cm. en
dc.description.abstract There is an interesting connection between cardinality of language and the distinction of lingua characterica from calculus rationator. Calculus-type languages have only a countable number of sentences, and only a single semantic valuation per sentence. By contrast, some of the sentences, and only a single semantic valuation per sentence. By contrast, some of the sentences of a lingua have available an uncountable number of semantic valuations. Thus, the lingua-type of language appears to have a greater degree of semantic universality than that of a calculus. It is suggested that the present notion of lingua provides a platform for a theory of ambiguity, whereby single sentences may have multiply - indeed, uncountably - many semantic valuations. It is further suggested that this might lead to a pacification of paradox. This thesis involves Peter Aczel's notion of a universal syntax, Russell's question, Keith Simmons' theory of diagonal argument, Curry's paradox, and a 'Leibnizian' notion of language. en
dc.language.iso en_US en
dc.publisher Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2004 en
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en
dc.subject Dissertations, Academic en
dc.subject Language and logic en
dc.subject Language and languages -- Philosophy en
dc.subject Logic en
dc.subject Reasoning en
dc.title On diagonal argument, Russell absurdities and an uncountable notion of lingua characterica en
dc.type Thesis en
dc.publisher.faculty Arts and Science
dc.publisher.department Department of Philosophy

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