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Two Cases of Deduction with Non-referring Descriptions

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RACLAVSKÝ Jiří

Rok publikování 2024
Druh Článek ve sborníku
Konference Electronic Proceedings In Theoretical Computer Science (415)
Fakulta / Pracoviště MU

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Citace
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Doi http://dx.doi.org/10.4204/EPTCS.415.8
Klíčová slova non-refering descriptions; partiality; higher-order logic; existential presupposition; partial type logic; natural deduction
Popis Formal reasoning with non-denoting terms, esp. non-referring descriptions such as “the King of France”, is still an under-investigated area. The recent exception being a series of papers e.g. by Indrzejczak and Zawidzki. The present paper offers an alternative to their approach since instead of free logic and sequent calculus, it’s framed in partial type theory with natural deduction in sequent style. Using a Montague- and Tichý-style formalization of natural language, the paper successfully handles deduction with intensional transitives whose complements are non-referring descriptions, and derives Strawsonian rules for existential presuppositions of sentences with such descriptions
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