Aristotle's Syllogisms in Logical Semantics Relying on Optimistic, Average and Pessimistic Membership Functions

摘要

After giving the precise partial first-order logical semantics relying on different membership functions, the notion of decision driven consequence relations with parameters is introduced. Aristotle's valid syllogisms of the first figure are investigated. The author shows what kind of decisions is necessary and how parameters have to be chosen in order that a consequence relation remains valid.