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An Introduction to Modal Semantics

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Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 140))

Abstract

The present note constitutes an introductory course in propositional modal logic. It does not require specific prerequisites, but only a standard knowledge of classical propositional calculus (denoted by PC in the following). Its main goal consists in making the reader familiar with both the traditional ‘possible worlds semantics’, and the more recent concept of ‘general frame’.

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References

  • Bellissima, F.: 1984, ‘Atoms in modal algebras’, Zeitschrift für mathematiske Logik und Grundlagen der Mathematik 30, 303–312.

    Article  Google Scholar 

  • Bellissima, F.: 1985a ‘An effective representation for finitely generated free interior algebras’, Algebra Universalis 20, 302–317.

    Article  Google Scholar 

  • Bellissima, F.: 1985b, ‘A test to determine distinct modalities in the extensions of S4’, Zeitschrift für mathematiske Logik und Grundlagen der Mathematik 31, 57–62.

    Article  Google Scholar 

  • Bellissima, F.: 1988, ‘On the lattices of extensions of the modal logics KAltn’, Archive Jor Mathematical Logic 27, 107–114.

    Article  Google Scholar 

  • Bellissima, F.: 1989, ‘Infinite sets of non-equivalent modalities’, Notre Dame Journal of Formal Logic 30, 574–582.

    Article  Google Scholar 

  • Bellissima, F.: 1990, ‘Post complete and O-axiomatizable modallogics’, Annals of Pure and Applied Logic 47, 121–144.

    Article  Google Scholar 

  • Bellissima, F. and Mirolli, M.: 1989, ‘A general treatment of equivalent modalities in normal modal logics’, The Journal of Symbolic Logic 54, 1460–1471.

    Article  Google Scholar 

  • Benthem, J. van: 1983, Modallogic and Classicallogic, Bibliopolis, Napoli.

    Google Scholar 

  • Blok, W.J.: 1978, ‘On the degree of incompleteness of modallogics’, Bullettin of the Section of Logic 7,167–176.

    Google Scholar 

  • Blok, W.J.: 1980, ‘The lattice of modal algebras is not strongly atomic’, Algebra Universalis 11, 285–294.

    Article  Google Scholar 

  • Chellas, B.F.: 1980, Modal Logic: An Introduction, Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Fine, K.: 1974, ‘Logics containing K4 (part 1)’ Journal of Symbolic Logic 39, 31–42.

    Article  Google Scholar 

  • Fine, K.: 1985, ‘Logics containing K4 (Part 2)’ Journal of Symbolic Logic 50, 619–651.

    Article  Google Scholar 

  • Gabbay, D.M.: 1976, Investigations in Modal and Tense Logics with Applications to Problems in Philosophy and Linguistics, D. Reidel, Dordrecht.

    Book  Google Scholar 

  • Sambin, G. and Vaccaro, Y.: 1988, ‘Topology and duality in modallogic’, Annals of Pure and Applied Logic 37, 249–296.

    Article  Google Scholar 

  • Segerberg, K.: 1971, An Essay in Classical Modal Logic, Filosofiska Studier, Uppsala.

    Google Scholar 

  • Thomason, S.K.: 1972, ’semantic analysis of tense logics’, Journal of Symbolic Logic 37, 150–157.

    Article  Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Bellissima, F. (1993). An Introduction to Modal Semantics. In: Corsi, G., Chiara, M.L.D., Ghirardi, G.C. (eds) Bridging the Gap: Philosophy, Mathematics, and Physics. Boston Studies in the Philosophy of Science, vol 140. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2496-6_2

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  • DOI: https://doi.org/10.1007/978-94-011-2496-6_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5101-9

  • Online ISBN: 978-94-011-2496-6

  • eBook Packages: Springer Book Archive

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