Abstract
1. Rescher 1964 — henceforth HR — proposes a way of reasoning from a set of hypotheses which may include both some of our beliefs and also hypotheses contradicting those beliefs. The aim of this paper is to point out what I take to be a fault in Rescher’s proposal, and to suggest a modification of it, using a nonclassical logic, which avoids that fault. The paper neither attacks nor defends the broader aspects of Rescher’s proposal, but merely assumes that it is at least prima facie worthwhile and therefore worthy of amendment; consequently, I shall try to tinker as little as possible. In particular, the use of a nonclassical logic which I propose does not. replace any use by HR of classical logic — in those places where Rescher is classical, I shall be classical, too. (Instead, the amendment introduces a nonclassical logic at a point where HR uses no logic at all.)
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References
Anderson, Alan Ross and Belnap, Nuel D., Jr., 1963, First Degree Entailments.. Technical Report No. 10, Contract No. SAR/Nonr-609(16), Office of Naval Research, New Haven. Reprinted in Mathematischen Annalen., 149 (1963), pp. 302–319.
Anderson, Alan Ross and Belnap, Nuel D., Jr., 1963, First Degree Entailments.. Technical Report No. 10, Contract No. SAR/Nonr-609(16), Office of Naval Research, New Haven. Reprinted in Mathematischen Annalen., 149 (1963), pp. 302–319.
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© 1979 D. Reidel Publishing Company, Dordrecht, Holland
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Belnap, N.D. (1979). Rescher’s Hypothetical Reasoning: An Amendment. In: Sosa, E. (eds) The Philosophy of Nicholas Rescher. Philosophical Studies Series in Philosophy, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9407-2_3
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DOI: https://doi.org/10.1007/978-94-009-9407-2_3
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