{"id":{"repo_id":"lethbridge","oai_identifier":"oai:opus.uleth.ca:10133/225"},"canonical_url":"https://search.dev.ndltd.org/etd/lethbridge/oai:opus.uleth.ca:10133/225","repository":{"repo_id":"lethbridge","name":"University of Lethbridge","base_url":"https://opus.uleth.ca/server/oai/request"},"display":{"title":"On diagonal argument, Russell absurdities and an uncountable notion of lingua characterica","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.","abstract_html":"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.","abstract_has_math":false,"creators":["King, James Douglass","University of Lethbridge. Faculty of Arts and Science"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004","date_published":"2004","updated_at":"2026-07-27T20:02:20Z","subjects":["Dissertations, Academic","Language and logic","Language and languages -- Philosophy","Logic","Reasoning"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/225"],"render_values":[{"text":"hdl:10133/225","href":null,"code":true}]}]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2004"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Dissertations, Academic","Language and logic","Language and languages -- Philosophy","Logic","Reasoning"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["hdl:10133/225"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.other","label":"Dc Description Other","values":["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."]},{"key":"dc:title","label":"Title","values":["On diagonal argument, Russell absurdities and an uncountable notion of lingua characterica"]}]}],"canonical_facts":{"dc:date.issued":["2004"],"dc:description.other":["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."],"dc:identifier":["hdl:10133/225"],"dc:subject":["Dissertations, Academic","Language and logic","Language and languages -- Philosophy","Logic","Reasoning"],"dc:title":["On diagonal argument, Russell absurdities and an uncountable notion of lingua characterica"],"dc:type":["Thesis"]},"updated_at":"2026-07-27T20:02:20Z"}