Synthese 33 (1):283 - 312 (1976)

Abstract
This paper suggests a method to calculate a degree of validity for the proof of a statement which is derived from empirical statements by means of logic conclusions. The empirical statements are assumed not to be completely valid or their validity to be doubtful. The suggested rules are consistent with two-valued logic, yield decreasing validities with increasing number of applications of modus ponens and obey the law of the excluded middle. The actual calculation of validity values, the relation of the suggested method to some truth tables of multi-valued logic and to fuzzy logic are discussed
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DOI 10.1007/BF00485448
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References found in this work BETA

Many-Valued Logic.Nicholas Rescher - 1969 - New York: Mcgraw-Hill.
Mathematical Logic.Stephen Cole Kleene - 1967 - Dover Publications.
The Logic of Inexact Concepts.J. A. Goguen - 1969 - Synthese 19 (3-4):325-373.

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