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Syllogisms with fractional quantifiers

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dc.contributor.authorJohnson, Fred (Frederick A.), author
dc.contributor.authorKluwer Academic Publishers, publisher
dc.date.accessioned2007-01-03T05:44:28Z
dc.date.available2007-01-03T05:44:28Z
dc.date.issued1994
dc.description.abstractAristotle's syllogistic is extended to include denumerably many quantifiers such as more than 2/3' and exactly 2/3'. Syntactic and semantic decision procedures determine the validity, or invalidity, of syllogisms with any finite number of premises. One of the syntactic procedures uses a natural deduction account of deducibility, which is sound and complete. The semantics for the system is non-classical since sentences may be assigned a value other than true or false. Results about symmetric systems are given. And reasons are given for claiming that syllogistic validity is relevant validity.
dc.format.mediumborn digital
dc.format.mediumarticles
dc.identifier.bibliographicCitationJohnson, Fred, Syllogisms with Fractional Quantifiersk, Journal of Philosophical Logic 23, no. 4 (August 1994): [401]-422. http://dx.doi.org/10.1007/BF01048688
dc.identifier.doihttps://dx.doi.org/10.1007/BF01048688
dc.identifier.urihttp://hdl.handle.net/10217/39025
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartofFaculty Publications
dc.rights© 1994 Kluwer Academic Publishers.
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectquantifier
dc.subjectmodel
dc.subjectlogic
dc.subjectfraction
dc.subjectsyllogism
dc.titleSyllogisms with fractional quantifiers
dc.typeText

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