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

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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DOI 10.1007/BF00205012
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References found in this work BETA

Modal Logics Between S 4 and S 5.M. A. E. Dummett & E. J. Lemmon - 1959 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 5 (14-24):250-264.
Modal Logics Between S 4 and S 5.M. A. E. Dummett & E. J. Lemmon - 1959 - Mathematical Logic Quarterly 5 (14‐24):250-264.
Modal Logics Between S 4 and S 5.M. Dummett & E. Lemmon - 1959 - Mathematical Logic Quarterly 5 (14-24):250-264.

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Citations of this work BETA

The Structure of Justification.Sven Rosenkranz - 2018 - Mind 127 (506):629-629.
Synonymous Logics.Francis Jeffry Pelletier & Alasdair Urquhart - 2003 - Journal of Philosophical Logic 32 (3):259-285.
A Note on the Complexity of S4.2.Aggeliki Chalki, Costas D. Koutras & Yorgos Zikos - forthcoming - Journal of Applied Non-Classical Logics:1-22.

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