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2012 | 21 | 4 | 415-438

Article title

Abstract Logic of Oppositions

Authors

Title variants

Languages of publication

EN

Abstracts

EN
A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.

Year

Volume

21

Issue

4

Pages

415-438

Physical description

Dates

published
2012-12-01
online
2013-07-02

Contributors

author
  • LHSP Henri Poincaré, Université de Lorraine, Nancy, France

References

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  • [14] Keynes, J.N., Studies and Exercises in Formal Logic, Macmillan and Co., London, 1884.
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  • [17] Marcos, J., “Opposition from the viewpoint of universal logic”, talk pre- sented at the 3rd Workshop N.O.T., University of Nice, 22-23 June 2010.
  • [18] Moretti, A., “The geometry of logical opposition”, University of Neucha- tel, 2009.
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  • [20] Piaget, J., Traite de logique (essai de logistique operatoire), Armand Colin, 1972 (1st ed. 1949).
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  • [22] Priest, G., “The logic of paradox”, Journal of Philosophical Logic 8 (1979): 219-241.
  • [23] Schang, F., “Questions and answers about oppositions”, pages 283-314 in: New Perspectives on the Square of Opposition, J.-Y. Beziau and G. Payette (eds.), Peter Lang, Bern, 2011.
  • [24] Schang, F., “Two Indian dialectical logics: saptabha ˙ng ̄ı and catus.kot.i”, Journal of the Indian Council of Philosophical Research 27 (2011): 45-75.
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  • [26] Sion, A., Future Logic, Geneva, 1996.
  • [27] Skura, T., “A refutation theory”, Logica Universalis 3 (2009): 239-302.[WoS]
  • [28] Słupecki, J., “The theory of rejected propositions”, Studia Logica 29, 1 (1971): 75-115.
  • [29] Smessaert, H., “On the 3D Visualisation of logical relations”, Logica Uni-versalis 3 (2009): 212-231.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.doi-10_2478_llc-2012-0019
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