Hostname: page-component-8448b6f56d-xtgtn Total loading time: 0 Render date: 2024-04-17T21:43:36.442Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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.

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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