David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Linguistics and Philosophy 1 (1):79 - 97 (1977)
Fuzzy logics are systems of logic with infinitely many truth values. Such logics have been claimed to have an extremely wide range of applications in linguistics, computer technology, psychology, etc. In this note, we canvass the known results concerning infinitely many valued logics; make some suggestions for alterations of the known systems in order to accommodate what modern devotees of fuzzy logic claim to desire; and we prove some theorems to the effect that there can be no fuzzy logic which will do what its advocates want. Finally, we suggest ways to accommodate these desires in finitely many valued logics.
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References found in this work BETA
L. P. Belluce (1964). Further Results on Infinite Valued Predicate Logic. Journal of Symbolic Logic 29 (2):69-78.
J. A. Goguen (1969). The Logic of Inexact Concepts. Synthese 19 (3-4):325-373.
George Lakoff (1973). Hedges: A Study in Meaning Criteria and the Logic of Fuzzy Concepts. [REVIEW] Journal of Philosophical Logic 2 (4):458 - 508.
Akira Nakamura (1963). A Note on Truth‐Value Functions in the Infinitely Many‐Valued Logics. Mathematical Logic Quarterly 9 (8‐9):141-144.
Citations of this work BETA
Matthias Gerner (2009). Assessing the Modality Particles of the Yi Group in Fuzzy Possible-Worlds Semantics. Linguistics and Philosophy 32 (2):143-184.
Ewan Klein (1980). A Semantics for Positive and Comparative Adjectives. Linguistics and Philosophy 4 (1):1--45.
Bertil Rolf (1984). Sorites. Synthese 58 (2):219 - 250.
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