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MANY-VALUED MODAL LOGICS: A SIMPLE APPROACH

Published online by Cambridge University Press:  01 August 2008

GRAHAM PRIEST
GRAHAM PRIEST*
Affiliation:
Universities of Melbourne and St Andrews
*
*DEPARTMENT OF PHILOSOPHY UNIVERSITY OF MELBOURNE MELBOURNE 3010 AUSTRALIA E-mail:g.priest@unimelb.edu.au
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Extract

1.1 In standard modal logics, the worlds are 2-valued in the following sense: there are 2 values (true and false) that a sentence may take at a world. Technically, however, there is no reason why this has to be the case. The worlds could be many-valued. This paper presents one simple approach to a major family of many-valued modal logics, together with an illustration of why this family is philosophically interesting.

Information

Type
Research Article
Information
The Review of Symbolic Logic , Volume 1 , Special Issue 2: Mathematical Methods in Philosophy , August 2008 , pp. 190 - 203
Copyright
Copyright © Association for Symbolic Logic 2008

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References

BIBLIOGRAPHY

Fitting, M. (1991). Many-valued modal logics. Fundamenta Informaticae, 15, 235–254.CrossRefGoogle Scholar
Fitting, M. (1992). Many-valued modal logics, II. Fundamenta Informaticae, 17, 55–73.CrossRefGoogle Scholar
Fitting, M. (1995). Tableaus for many-valued modal logic. Studia Logica, 55, 63–87.CrossRefGoogle Scholar
Hájek, P. (1999). Metamathematics of Fuzzy Logic. Dordrecht: Kluwer Academic Publishers.Google Scholar
Morgan, C. G. (1979). Local and global operators and many-valued modal logics. Notre Dame Journal of Formal Logic, 20, 401–411.Google Scholar
Ostermann, P. (1988). Many-valued modal propositional calculi. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 34, 341–354.Google Scholar
Ostermann, P. (1990). Many-valued modal logics: uses and predicate calculus. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, 36, 367–376.CrossRefGoogle Scholar
Priest, G. (2001). Introduction to Non-Classical Logic. Cambridge: Cambridge University Press. Revised as the first part of Priest (2008).Google Scholar
Priest, G. (2008). Introduction to Non-Classical Logic: From If to Is. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Ross, W. D., editor. (1928). The Works of Aristotle. Oxford: Oxford University Press.Google Scholar
Sakalauskaite, J. (2002). Tableaus with invertible rules for many-valued modal propositional logics. Lithuanian Mathematical Journal, 42, 191–203.CrossRefGoogle Scholar
Segerberg, K. (1967). Some modal logics based on a three-valued logic. Theoria, 33, 53–71.CrossRefGoogle Scholar
Thomason, S. K. (1978). Possible worlds and many-values. Studia Logica, 37, 195–204.CrossRefGoogle Scholar