Conjunctive and Disjunctive Limits: Abstract Logics and Modal Operators

• Autorzy: Alexandre Costa-Leite , Edelcio G. de Souza
• Języki publikacji: EN

Abstrakty

EN

Departing from basic concepts in abstract logics, this paper introduces two concepts: conjunctive and disjunctive limits. These notions are used to formalize levels of modal operators. (original abstract)

Słowa kluczowe

EN

Logic; Mathematics; Philosophy

PL

Logika; Matematyka; Filozofia

• Czasopismo: Studia Humana
• Rocznik: 2020
• Tom: 9(3/4)
• Strony: 66--71

Twórcy

autor

Alexandre Costa-Leite

• University of Brasilia, Brasilia Brazil

autor

Edelcio G. de Souza

• University of São Paulo, São Paulo Brazil

Bibliografia

• Bensusan, H., A. Costa-Leite, and E. G. de Souza. Logics and their galaxies, In A. Koslow and A. Buchsbaum (eds.), The Road to UniversalLogic, vol. 2, Basel: Birkhauser, 2015, pp. 243-252.
• Beziau, J-Y. Recherches sur la logique universelle (excessivite, negation et sequents, PhD Thesis, Universite Denis-Diderot Paris 7, 1995.
• Costa-Leite, A. Logical properties of imagination. Abstracta 6 (1), 2010, pp. 103-116.
• Costa-Leite, A., and E. G. de Souza. Implications and limits of sequences, Studia Humana 6 (1), 2017, pp. 18-24.
• Costa-Leite, A. Paraconsistencia, modalidades e cognoscibilidade, Available on PhilArchive: retrieved June 17, 2020 from https: //philarchive.org/archive/COSPME-5, 2019 (in Portuguese).
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• Dunn, M, and G. Hardegree. Algebraic Methods in Philosophical Logic, New York: Oxford University Press, 2001.
• Gabbay, D., A. Kurucz, F. Wolter, and M. Zakharyaschev. Many-dimensional modal logics: theory and applications, Studies in Logic and the Foundations of Mathematics, Amsterdam: Elsevier, 2003.
• Tarski, A. On some fundamental concepts of metamathematics, In J. Corcoran (ed.), Logic, Semantic, Metamathematics, Second Edition, Indianapolis: Hackett Publishing Company, 1983.
• Tarski, A. Fundamental concepts of the methodology of deductive sciences, In J. Corcoran (ed.), Logic, Semantic, Metamathematics, Second Edition, Indianapolis: Hackett Publishing Company, 1983.

Identyfikatory

DOI

10.2478/sh-2020-0028