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

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dc.contributor.authorKing, James Douglass
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorBrown, Bryson
dc.date.accessioned2007-05-13T20:28:29Z
dc.date.available2007-05-13T20:28:29Z
dc.date.issued2004
dc.degree.levelMasters
dc.descriptionvii, 111 leaves ; 29 cm.en
dc.description.abstractThere 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.identifier.urihttps://hdl.handle.net/10133/225
dc.language.isoen_USen
dc.publisherLethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2004en
dc.publisher.departmentDepartment of Philosophy
dc.publisher.facultyArts and Science
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en
dc.subjectDissertations, Academicen
dc.subjectLanguage and logicen
dc.subjectLanguage and languages -- Philosophyen
dc.subjectLogicen
dc.subjectReasoningen
dc.titleOn diagonal argument, Russell absurdities and an uncountable notion of lingua charactericaen
dc.typeThesisen
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