A Judgmental Reconstruction of Some of Professor Woleński’s Logical and Philosophical Writings

Fabien Schang 1
  • 1 Federal University of Goiás, , Avenida Esperança, SN, Campus Samambaia - Conj. Itatiaia, Goiânia, 74690-900, Brasil


Roman Suszko said that “Obviously, any multiplication of logical values is a mad idea and, in fact, Łukasiewicz did not actualize it.” The aim of the present paper is to qualify this ‘obvious’ statement through a number of logical and philosophical writings by Professor Jan Woleński, all focusing on the nature of truth-values and their multiple uses in philosophy. It results in a reconstruction of such an abstract object, doing justice to what Suszko held a ‘mad’ project within a generalized logic of judgments. Four main issues raised by Woleński will be considered to test the insightfulness of such generalized truth-values, namely: the principle of bivalence, the logic of scepticism, the coherence theory of truth, and nothingness.

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  • 1. Beall, J. C., and G. Restall. Logical Pluralism, Oxford: Oxford University Press, 2006.

  • 2. Blanché, R. Les structures intellectuelles (Essai sur l’organisation systématique des concepts), Paris: Vrin, 1966.

  • 3. da Costa, N. C. On the theory of inconsistent formal systems, Notre Dame Journal of Formal Logic 15, 1974, pp. 497-510.

  • 4. Demey, L., and H. Smessaert. Combinatorial Bitstring Semantics for Arbitrary Logical Fragments, Journal of Philosophical Logic 47, 2018, pp. 325-363.

  • 5. Englebretsen, G. Knowledge, Negation, and Incompatibility, Journal of Philosophy 66, 1969, pp. 580-585.

  • 6. Frankowski, S. Formalization of a plausible inference, Bulletin of the Section of Logic 33, 2004, pp. 41-52.

  • 7. Gardies, J.-L. La logique du temps, Paris, PUF, 1975.

  • 8. Gauthier, Y. Hegel: introduction à une lecture critique, Québec: Presses de l’Université Laval, Coll. ‘Logique de la science’, 2010.

  • 9. Lemanski, J, and F. Schang. A Bitstring Semantics for Calculus CL, Logica Universalis, forthcoming.

  • 10. Łukasiewicz, J. On the Principle of Contradiction in Aristotle, Kraków: Polska Akademia Umiejętności, 1910.

  • 11. Łukasiewicz, J. On Three-valued Logic, Ruch Filozoficzny 5, 1920, pp. 170-171.

  • 12. Malinowski, G. Q-Consequence Operation, Reports on Mathematical Logic 24, pp. 49-59.

  • 13. Piaget, J. Traité de logique (Essai de logique opératoire), Paris: Dunod (1st edition: 1949).

  • 14. Priest, G. The Logic of the Catuskoti, Comparative Philosophy 1, 2010, pp. 32-54.

  • 15. Rogowski, S. The Logical Sense of Hegel’s Concept of Change and Movement, Studia Filozoficzne 6, 1961, pp. 3-39.

  • 16. Schang, F. A Plea for Epistemic Truth: Jaina logic from a Many-Valued Perspective, In A. Schumann (ed.), Logic in Religious Discourse, De Gruyter, 2010, pp. 54-83.

  • 17. Schang, F. Negation and Dichotomy, In D. Łukasiewicz and R. Pouivet (eds.), Scientific Knowledge and Common Knowledge, Bydgoszcz: Epigram Publishing House/Kazimierz Wielki University Press, 2009, pp. 225-265.

  • 18. Schang, F. Trois paralogismes épistémiques, une logique des énonciations, In P.-E. Bour, M. Rebuschi and L. Rollet (eds.), Construction. Festschrift for Gerhard Heinzmann, London: College Publications, 2010, pp. 407-416.

  • 19. Schang, F. Two Indian Dialectical Logics: saptabhaṅgī and catuṣkoṭi, in A. Gupta and J. van Benthem (eds.), Studies in Logic: Logic and Philosophy Today 29, 2011, pp. 45-74.

  • 20. Schang, F. A One-valued Logic for Non-One-Sidedness, International Journal of Jaina Studies (Online) 9 (1), 2013, pp. 1-25.

  • 21. Schang, F. On Negating, In E. Dragalina-Chernaya (ed.), Ontology of Negativity, Moscow: Kanon, 2014, pp. 329-376.

  • 22. Schang, F. Eastern Proto-logics, In J.-Y. Béziau, M. Chakraborty and S. Dutta (eds.), New Directions in Paraconsistent Logics, New Delhi: Springer Proceedings in Mathematics and Statistics, 2016, pp. 529-552.

  • 23. Schang, F. From Aristotle’s Oppositions to Aristotelian Oppositions, In V. Petroff (ed.), The Legacies of Aristotle as Constitutive Element of European Rationality, Proceedings of the Moscow International Conference on Aristotle. RAS Institute of Philosophy, October 17-19, 2016, Moscow: Aquilo Press, 2017, pp. 430-445.

  • 24. Schang, F. End of the square?, South American Journal of Logic 4 (2), 2018, pp. 1-21.

  • 25. Schang, F. A General Semantics for Logics of Affirmation and Negation, Journal of Applied Logics 2020, forthcoming.

  • 26. Schang, F. Question-Answer Semantics, Revista de Filosofia Moderna e Contemporeâna, 8, 2020, pp. 73-102.

  • 27. Suszko, R. The Fregean axiom and Polish mathematical logic in the 1920’s, Studia Logica 36, 1977, pp. 377-380.

  • 28. Turzynski, K. The Temporal Functors in the Directional Logic of Change of Rogowski – Some Results, Bulletin of the Section of Logic 19, 1990, pp. 30-32.

  • 29. von Wright, G. H. Truth, Negation and Contradiction, Synthese 66, 1986, pp. 3-14.

  • 30. von Wright, G. H. Truth-logics, Logique et Analyse 30, 1987, pp. 311-334.

  • 31. Woleński, J. A Note on Scepticism, Kriterion 3, 1992, pp. 18-19.

  • 32. Woleński, J. Against Truth as Coherence, Logic and Logical Philosophy 4, 1996, pp. 41-51.

  • 33. Woleński, J. Scepticism and Logic, History and Philosophy of Logic 1, 1998, pp. 187-194.

  • 34. Woleński, J. The Principle of Bivalence and Suszko’s Thesis, Bulletin of the Section of Logic 38, 2009, pp. 99-110.

  • 35. Woleński, J. An Abstract Approach to Bivalence, Logic and Logical Philosophy 23, 2014, pp. 3-15.

  • 36. Woleński, J. Something, Nothing and Leibniz’s Question, Negation in Logic and Metaphysics, Studies in Logic, Grammar and Rhetoric 54, 2018, pp. 175-190.

  • 37. Woleński, J. Logical Ideas of Jan Łukasiewicz, Studia Humana 8, 2019, pp. 3-7.

  • 38. Zaitsev, D., and Y. Shramko. Bi-facial Truth: a Case for Generalized Truth Values, Studia Logica 101, 2013, pp. 1299-1318.


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