Epistemologische betrachtungen zu [S4, S5]

Erkenntnis 14 (1):33-56 (1979)
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Abstract

The numerous modal systems between S4 and S5 are investigated from an epistemological point of view by interpreting necessity either as knowledge or as (strong) belief. It is shown that-granted some assumptions about epistemic logic for which the author has argued elsewhere-the system S4.4 may be interpreted as the logic of true belief, while S4.3.2 and S4.2 may be taken to represent epistemic logic systems for individuals who accept the scheme knowledge = true belief only for certain special instances. There is strong evidence in favor of the assumption that S4.2 is the logic of knowledge.

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References found in this work

Modal Logics Between S 4 and S 5.M. A. E. Dummett & E. J. Lemmon - 1959 - Mathematical Logic Quarterly 5 (14-24):250-264.
Family ${\rm K}$ of the non-Lewis modal systems.Bolesław Sobociński - 1964 - Notre Dame Journal of Formal Logic 5 (4):313-318.
There are infinitely many diodorean modal functions.D. C. Makinson - 1966 - Journal of Symbolic Logic 31 (3):406-408.
Certain extensions of modal system $S4$.Bolesław Sobociński - 1970 - Notre Dame Journal of Formal Logic 11 (3):347-368.

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