Approximate syllogisms – on the logic of everyday life

Artificial Intelligence and Law 7 (2-3):227-234 (1999)
Abstract
Since Aristotle it is recognised that a valid syllogism cannot have two particular premises. However, that is not how a lay person sees it; at least as long as the premises read many, most etc, instead of a plain some. The lay people are right if one considers that these syllogisms do not have strict but approximate (Zadeh) validity. Typically there are only particular premises available in everyday life and one is dependent on such syllogisms. – Some rules on the usage of particular premises are given below.
Keywords approximate reasoning  fuzzy logic  possible worlds  syllogisms with particular premises  undetermined quantifiers
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