Lukasiewicz and Lorenzen as Interpreters of Aristotle＇s Syllogistic

作     者：Herve Barreau 

作者机构：Archives H.Poincare-LHSP-UMR 7117 du CNRS 

出 版 物：《Journal of Philosophy Study》 (哲学研究（英文版）)

年 卷 期：2012年第2卷第3期

页      面：185-194页

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 06[历史学] 060207[历史学-专门史] 07[理学] 0712[理学-科学技术史(分学科，可授理学、工学、农学、医学学位)] 0602[历史学-中国史] 

主　　题：syllogism implication syllogistic necessity valid moods converse relation 

摘      要：Jan Lukasiewicz acknowledged that Aristotle＇s syllogistic does not admit singular terms and presents syllogism as an implication. But he failed to recognize syllogistic necessity, reducing this necessity to ＂formal implication＂ as introduced by Russell, when Aristotle shows it as binding relations between three terms. On the contrary, Paul Lorenzen directly recognized syllogistic necessity as the typical example of his own logical implication. His reconstruction of syllogistic differs from the original by his interpretation of particular propositions as the determination of classes which are specified by predicates. The result is the representation of valid moods as the board of all multiplications of relations which are permitted. These relations are not only the Aristotelian ,4, E,I, O, but also the new converse asymmetrical relations of A and O： （a） and （o）.