Change search
ReferencesLink to record
Permanent link

Direct link
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.
, Studies in Logic, 47
Keyword [en]
negation, quantification, square of opposition, generalized quantifier
National Category
Research subject
Theoretical Philosophy
URN: urn:nbn:se:su:diva-99159ISBN: 978-1-84890-122-3OAI: diva2:686396
Swedish Research Council
Available from: 2014-01-12 Created: 2014-01-12 Last updated: 2014-02-20Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Westerståhl, Dag
By organisation
Department of Philosophy

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 132 hits
ReferencesLink to record
Permanent link

Direct link