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Schang Fabien (LHPS Henri Poincaré, University of Lorraine, France; Moscow State University, Moscow, Russia)
Logic in Opposition
Studia Humana, 2013, vol. 2(3), s. 31-45, rys., bibliogr. 21 poz.
Słowa kluczowe
Logika, Poglądy filozoficzne
Logic, Philosophical thought
It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.
Pełny tekst
  1. Aristotle, De l'interprétation.
  2. Baker, A. J., "Classical logical relations", Notre Dame Journal of Formal Logic 18 (1977), 164-8.
  3. Béziau, J.-Y., "New light on the square of oppositions and its nameless corner", Logical Investigations 10 (2003), 218-32.
  4. Chatti, S., Schang, F., "The Cube, the Square, and the Problem of Existential Import", History and Philosophy of Logic 34 (2) (2013), 101-32.
  5. Demey, L., Smessaert, H.: "Logical geometries and information in the square of oppositions", forthcoming.
  6. Goodman, N., Ways of worldmaking, Hackett (1978).
  7. Humberstone, L., "Negation by iteration", Theoria 61 (1995), 1-24.
  8. Jaspers, D., "Logic of colours in historical perspective", submitted.
  9. Kaneiwa, K., "Description Logics with Contraries, Contradictories, and Subcontraries", New Generation Computing 25 (2007), 443-68.
  10. McCall, S., "Contrariety", Notre Dame Journal of Formal Logic 8 (1967), 121-32.
  11. Marcos, J., "On Negation: pure local rules", Journal of Applied Logic 3 (2005), 185-219.
  12. Piaget, J., Traité de logique (Essai de logistique opératoire). Armand Colin, 1972 (1st edition, 1949).
  13. Piaget, J., Essai sur les transformations des operations logiques: les 256 opérations ternaires de la logique bivalente des propositions, PUF, 1952.
  14. Schang, F., "Questions and answers about oppositions", in New Perspectives on the Square of Opposition, Béziau, J.-Y. & Payette, G. (eds.), Peter Lang, Bern (2011), 289-319.
  15. Schang, F., "Opposition and opposites", in Around and Beyond the square of opposition, J.- Y. Béziau & D. Jacquette (eds), Birkhauser/Springer Basel (2012), 147-73.
  16. Schang, F., "Abstract logic of opposition", Logic and Logical Philosophy 21 (2012), 415-38
  17. Smessaert, H., "On the 3D visualization of the logical relations". Logica Universalis 3(2009), 212-3.
  18. Slater, H, "Paraconsistent logics?", Journal of Philosophical Logic 24 (4), 451-4.
  19. Suszko, R., "The Fregean axiom and Polish mathematical logic in the 1920's", Studia Logica 36 (1977), 377-80
  20. Tarski, A., Logics, Semantics, Metamathematics, Oxford (1956).
  21. Wόjcicki, R., Theory of Logical Calculi. Basic Theory of Consequence Operations, vol. 199 of Synthese Library. Reidel, Dordrecht, 1988.
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