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.
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)
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
negation, quantification, square of opposition, generalized quantifier
Research subject Theoretical Philosophy
IdentifiersURN: urn:nbn:se:su:diva-99159ISBN: 978-1-84890-122-3OAI: oai:DiVA.org:su-99159DiVA: diva2:686396
FunderSwedish Research Council