Boolean Connexive Logics: Semantics and tableau approach

Authors

  • Tomasz Jarmużek Nicolaus Copernicus University in Toruń
  • Jacek Malinowski Polish Academy of Sciences

DOI:

https://doi.org/10.12775/LLP.2019.003

Keywords

Boolean connexive logics, connexive logic, relating semantics, tableau approach, relatedness

Abstract

In this paper we define a new type of connexive logics which we call Boolean connexive logics. In such logics negation, conjunction and disjunction behave in the classical, Boolean way. We determine these logics through application of the relating semantics. In the final section we present a tableau approach to the discussed logics.

Author Biographies

Tomasz Jarmużek, Nicolaus Copernicus University in Toruń

Department of Logic

Jacek Malinowski, Polish Academy of Sciences

Institute of Philosophy and Sociology

References

Epstein, R.L., 1979, “Relatedness and implication”, Philosophical Studies 36, 2: 137–173. DOI: http://dx.doi.org/10.1007/BF00354267

Epstein, R.L., 1990, The Semantic Foundations of Logic. Vol. 1: Propositional logics, Nijhoff International Philosophy Series, volume 35. DOI: http://dx.doi.org/10.1007/978-94-009-0525-2

Ferguson, T.M., 2015,“Logics of nonsense and Parry systems”, Journal of Philosophical Logic 44, 1: 65–80. DOI: http://dx.doi.org/10.1007/s10992-014-9321-y

Fine, K., 1986, “Analytic implication”, Notre Dame Journal of Formal Logic 27, 2: 169–179. DOI: http://dx.doi.org/10.1305/ndjfl/1093636609

Jarmużek, T., 2013, “Tableau metatheorem for modal logics”, chapter 8 in R. Ciuni, H. Wansing and C. Willkomennen (eds.), Recent Trends in Philosphical Logic, series Trends in Logic, Springer Verlag. DOI: http://dx.doi.org/10.1007/978-3-319-06080-4_8

Jarmużek, T., and B. Kaczkowski, 2014, “On some logic with a relation imposed on formulae: Tableau system F”, Bulletin of the Section of Logic 43, 1/2: 53–72.

Kapsner, A., 2012, “Strong connexivity”, Thought: A Journal of Philosophy 1, 2: 141–145. DOI: http://dx.doi.org/10.1002/tht3.19

McCall, S., 2012, “A history of connexivity”, pages 415–449 in D.M. Gabbay et al. (eds.), Handbook of the History of Logic, vol. 11, “Logic: A history of its central concepts”, Amsterdam: Elsevier. DOI: http://dx.doi.org/10.1016/B978-0-444-52937-4.50008-3

Walton, D.N., “Philosophical basis of relatedness logic”, Philosophical Studies 36, 2: 115–136. DOI: http://dx.doi.org/10.1007/BF00354266

Wansing, H., 2014, “Connexive logic”, in Stanford Encyclopedia of Philosophy, https://plato.stanford.edu/entries/logic-connexive/ access December 12, 2017.

Logic and Logical Philosophy

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Published

2019-01-27

How to Cite

1.
JARMUŻEK, Tomasz and MALINOWSKI, Jacek. Boolean Connexive Logics: Semantics and tableau approach. Logic and Logical Philosophy. Online. 27 January 2019. Vol. 28, no. 3, pp. 427-448. [Accessed 6 July 2025]. DOI 10.12775/LLP.2019.003.

Issue

Vol. 28 No. 3 (2019): September

Section

Articles

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Number of views and downloads: 1387
Number of citations: 11

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