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Negation and quantification: a new look at the square of opposition: With comments by Fengkui Ju and Larry Moss, and a response by Dag Westerståhl.
Stockholm University, Faculty of Humanities, Department of Philosophy.
2013 (English)In: Logic across the University: Foundations and Applications: Proceedings of the Tsinghua Logic Conference, Beijing, 2013 / [ed] Johan van Benthem and Fenrong Liu, London: College Publications, 2013, 47, 301-317 p.Chapter in book (Refereed)
Abstract [en]

We study the Aristotelian square of opposition from the modern perspective of generalized quantifiers. With a subtle but important change in the relations holding along the sides of the square, we show that it applies to all kinds of quantifiers, not just the four Aristotelian ones. We establish some of its logical properties, and give numerous examples of squares spanned by various quantifiers, in particular those expressed by possessive constructions.

Place, publisher, year, edition, pages
London: College Publications, 2013, 47. 301-317 p.
Series
Studies in Logic, 47
Keyword [en]
negation, quantification, square of opposition, generalized quantifier
National Category
Philosophy
Research subject
Theoretical Philosophy
Identifiers
URN: urn:nbn:se:su:diva-99159ISBN: 978-1-84890-122-3 (print)OAI: oai:DiVA.org:su-99159DiVA: diva2:686396
Funder
Swedish Research Council
Available from: 2014-01-12 Created: 2014-01-12 Last updated: 2014-02-20Bibliographically approved

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CiteExportLink to record
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