On Ignorance and Contradiction Considered as Truth-Values

Logic Journal of the IGPL 16 (2):195-216 (2008)
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Abstract

A critical view of the alleged significance of Belnap four-valued logic for reasoning under inconsistent and incomplete information is provided. The difficulty lies in the confusion between truth-values and information states, when reasoning about Boolean propositions. So our critique is along the lines of previous debates on the relevance of many-valued logics and especially of the extension of the Boolean truth-tables to more than two values as a tool for reasoning about uncertainty. The critique also questions the significance of partial logic.

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References found in this work

Singular terms, truth-value gaps, and free logic.Bas C. van Fraassen - 1966 - Journal of Philosophy 63 (17):481-495.
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle, Contemporary aspects of philosophy. Boston: Oriel Press.
Fuzzy logic and approximate reasoning.L. A. Zadeh - 1975 - Synthese 30 (3-4):407-428.
The two concepts of probability: The problem of probability.Rudolf Carnap - 1945 - Philosophy and Phenomenological Research 5 (4):513-532.

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