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The logic of nonmonotonicity

โœ Scribed by John Bell


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
431 KB
Volume
41
Category
Article
ISSN
0004-3702

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In this paper we shall review the main approaches to nonmonotonic reasoning which we classify from the perspective of their underlying logical settings as classical, intuitionistic, three-valuedlpartial models, and conditional. We shall be placing special emphasis on some of the prominent approaches

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We give an explicit description of fixed points for propositional theories in the nonmonotonic logic of McDermott and Doyle. Using this description we refute two claims from McDermott and Doyle's original paper.

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We show that the sequence ( |Im(z n )|) is never monotone when z is a non-real complex number, and ( |Re(z n )|) is never monotone, unless z=re i?% , where %=kร‚m for some odd m, and r is sufficiently large or sufficiently small. Similar results hold for the length of the projection of z n onto any l