1. bookVolume 9 (2020): Issue 3-4 (October 2020)
Journal Details
License
Format
Journal
First Published
03 Oct 2014
Publication timeframe
4 times per year
Languages
English
access type Open Access

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

Published Online: 11 Nov 2020
Page range: 72 - 103
Journal Details
License
Format
Journal
First Published
03 Oct 2014
Publication timeframe
4 times per year
Languages
English
Abstract

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.

Keywords

1. Beall, J. C., and G. Restall. Logical Pluralism, Oxford: Oxford University Press, 2006.Search in Google Scholar

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

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

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

5. Englebretsen, G. Knowledge, Negation, and Incompatibility, Journal of Philosophy 66, 1969, pp. 580-585.Search in Google Scholar

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

7. Gardies, J.-L. La logique du temps, Paris, PUF, 1975.Search in Google Scholar

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

9. Lemanski, J, and F. Schang. A Bitstring Semantics for Calculus CL, Logica Universalis, forthcoming.Search in Google Scholar

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

11. Łukasiewicz, J. On Three-valued Logic, Ruch Filozoficzny 5, 1920, pp. 170-171.Search in Google Scholar

12. Malinowski, G. Q-Consequence Operation, Reports on Mathematical Logic 24, pp. 49-59.Search in Google Scholar

13. Piaget, J. Traité de logique (Essai de logique opératoire), Paris: Dunod (1st edition: 1949).Search in Google Scholar

14. Priest, G. The Logic of the Catuskoti, Comparative Philosophy 1, 2010, pp. 32-54.Search in Google Scholar

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

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.Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

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.Search in Google Scholar

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

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

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.Search in Google Scholar

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.Search in Google Scholar

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

25. Schang, F. A General Semantics for Logics of Affirmation and Negation, Journal of Applied Logics 2020, forthcoming.Search in Google Scholar

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

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

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.Search in Google Scholar

29. von Wright, G. H. Truth, Negation and Contradiction, Synthese 66, 1986, pp. 3-14.Search in Google Scholar

30. von Wright, G. H. Truth-logics, Logique et Analyse 30, 1987, pp. 311-334.Search in Google Scholar

31. Woleński, J. A Note on Scepticism, Kriterion 3, 1992, pp. 18-19.Search in Google Scholar

32. Woleński, J. Against Truth as Coherence, Logic and Logical Philosophy 4, 1996, pp. 41-51.Search in Google Scholar

33. Woleński, J. Scepticism and Logic, History and Philosophy of Logic 1, 1998, pp. 187-194.Search in Google Scholar

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

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

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.Search in Google Scholar

37. Woleński, J. Logical Ideas of Jan Łukasiewicz, Studia Humana 8, 2019, pp. 3-7.Search in Google Scholar

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

Recommended articles from Trend MD

Plan your remote conference with Sciendo