The square of opposition and the paradoxes

Logica Universalis 2 (1):87-105 (2008)
Authors
Teresa Marques
Universitat de Barcelona
Abstract
Can an appeal to the difference between contrary and contradictory statements, generated by a non-uniform behaviour of negation, deal adequately with paradoxical cases like the sorites or the liar? This paper offers a negative answer to the question. This is done by considering alternative ways of trying to construe and justify in a useful way (in this context) the distinction between contraries and contradictories by appealing to the behaviour of negation only. There are mainly two ways to try to do so: i) by considering differences in the scope of negation, ii) by considering the possibility that negation is semantically ambiguous. Both alternatives are shown to be inapt to handle the problematic cases. In each case, it is shown that the available alternatives for motivating or grounding the distinction, in a way useful to deal with the paradoxes, are either inapplicable, or produce new versions of the paradoxes, or both.
Keywords Natural language negation   Liar paradox  The square of opposition  Sorites paradox.
Categories (categorize this paper)
DOI 10.1007/s11787-007-0026-7
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 38,077
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Assertion, Denial, Acceptance, Rejection, Symmetry, and Paradox.Greg Restall - 2015 - In Colin R. Caret & Ole T. Hjortland (eds.), Foundations of Logical Consequence. Oxford University Press. pp. 310-321.
Square of Opposition.Author unknown - 2004 - Internet Encyclopedia of Philosophy.
Negation and Quantification in Aristotle.Michael V. Wedin - 1990 - History and Philosophy of Logic 11 (2):131-150.
G. Frege sur la négation comme opposition sans force.Ali Benmakhlouf - 2001 - Revue de Métaphysique et de Morale 2 (2):7-19.
Antonyms and Paradoxes.Alessandra Bertocchi - 2003 - Argumentation 17 (1):113-122.
What the Liar Taught Achilles.Gary Mar & Paul St Denis - 1999 - Journal of Philosophical Logic 28 (1):29-46.
Paradoxes of Intensionality.Dustin Tucker & Richmond H. Thomason - 2011 - Review of Symbolic Logic 4 (3):394-411.

Analytics

Added to PP index
2009-01-28

Total views
57 ( #120,103 of 2,313,328 )

Recent downloads (6 months)
2 ( #353,451 of 2,313,328 )

How can I increase my downloads?

Monthly downloads

My notes

Sign in to use this feature