Abstracta 6 (1):117-135 (2010)

Authors
Arnold Koslow
CUNY Graduate Center
Abstract
Carnap in the 1930s discovered that there were non-normal interpretations of classical logic - ones for which negation and conjunction are not truth-functional so that a statement and its negation could have the same truth value, and a disjunction of two false sentences could be true. Church ar-gued that this did not call for a revision of classical logic. More recent writers seem to disa-gree. We provide a definition of "non-normal interpretation" and argue that Church was right, and in fact, the existence of non-normal interpretations tells us something important about the condi-tions of extensionality of the classical logical operators
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References found in this work BETA

Multiple-Conclusion Logic.D. J. Shoesmith - 1978 - Cambridge University Press.
A Structuralist Theory of Logic.Arnold Koslow - 1992 - Cambridge University Press.
Rejection and Valuations.Luca Incurvati & Peter Smith - 2010 - Analysis 70 (1):3 - 10.

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