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Studia z Historii Filozofii

On some concepts constituting discussive logic
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On some concepts constituting discussive logic

Autor/innen

  • Marek Nasieniewski Nicolaus Copernicus University in Toruń https://orcid.org/0000-0002-9612-3990
  • Ricardo Arturo Nicolás-Francisco Nicolaus Copernicus University in Toruń https://orcid.org/0000-0001-5490-9357

DOI:

https://doi.org/10.12775/szhf.2025.030

Schlagworte

Jaśkowski, discussive logic, S5, M-counterpart, M-fragment, translations of discussive connectives

Abstract

We recall some basics of a system of discussive logic proposed by Polish logician Stanisław Ja´skowski and present and analyze some key concepts, mainly from the field of modal logic, important for the presentation of the discussive logic D2 and related systems. In particular, we focus on a presentation of M-counterpart, a notion central in the context of the project of discussive logic. We also give a summary of results on a generalization of this notion.

Literaturhinweise

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Mruczek-Nasieniewska Krystyna, Marek Nasieniewski. 2019. “A Kotas-style characterisation of minimal discussive logic”. Axioms 8(4): 1–17. https://doi.org/10.3390/axioms8040108

Nasieniewski Marek, Andrzej Pietruszczak. 2008. “The Weakest Regular Modal Logic Defining Ja´skowski’s Logic D2”. Bulletin of the Section of Logic 37(3–4): 197–210.

Nasieniewski Marek, Andrzej Pietruszczak. 2011. “A method of generating modal logics defining Ja´skowski’s discussive logic 2”. Studia Logica 97(1): 161–182. https://doi.org/10.1007/s11225-010-9302-2

Nasieniewski Marek, Andrzej Pietruszczak. 2012. “On the weakest modal logics defining Ja´skowski’s logic D2 and the 2-consequence”. Bulletin of the Section of Logic 41(34): 215–232.

Nasieniewski Marek, Andrzej Pietruszczak. 2013. “On Modal Logics Defining Ja´skowski’s D2-Consequence”. In: Paraconsistency: logic and applications, ed. Koji Tanaka, Francesco Berto, Edwin Mares, Francesco Paoli. Vol. 26 of Logic, Epistemology and the Unity of Science. Dordrecht: Springer International Publishing AG Switzerland. pp. 141-161. https://doi.org/10.1007/978-94-007-4438-7_9

Nasieniewski Marek, Andrzej Pietruszczak. 2014a. “Axiomatisations of minimal modal logics defining Ja´skowski-like discussive logics”. In: Trends in Logic XIII: Gentzen’s and Ja´skowski’s heritage 80 years of natural deduction and sequent calculi, ed. Andrzej Indrzejczak, Janusz Kaczmarek, Michał Zawidzki. Łód´z: Wydawnictwo Uniwersytetu Łódzkiego. pp. 149–163.

Nasieniewski Marek, Andrzej Pietruszczak. 2014b. “On modal logics defining a Ja´skowski like discussive logic”. In: Handbook of the 5th World Congress on Paraconsistency, February 13-17, 2014, Kolkata, India, ed. Arthur Buchsbaum Jean-Yves Beziau, Alvaro Altair. Indian Statistical Institute. pp. 67–68.

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Rodrigues Abilio, Marek Nasieniewski, Ricardo Arturo Nicolás-Francisco. 2025. “Someremarks on two seminal approaches to paraconsistency: Stanisław Ja´skowski and Newton da Costa”. Studia Logica 13: 1139–1194.

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Studia z Historii Filozofii

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2025-12-19

Zitationsvorschlag

1.
NASIENIEWSKI, Marek und NICOLÁS-FRANCISCO, Ricardo Arturo. On some concepts constituting discussive logic. Studia z Historii Filozofii. Online. 19 Dezember 2025. Vol. 16, no. 4, pp. 19-34. [Accessed 20 April 2026]. DOI 10.12775/szhf.2025.030.
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