.: [논리학사] F. Johnson (2004), “Aristotle’s modal syllogisms” 요약 정리 (미완성)

[ Fred Johnson (2004), “Aristotle’s modal syllogisms”, in D. Gabbay and J. Woods (eds.)(2004), Handbook of the History of Logic Volume 1: Greek, Indian and Arabic Logic (Elsevier), pp. 247-307. ]

1. Łukasiewicz’s Assertoric System, ŁA

1.1 Rejection in ŁA

2 Łukasiewicz’s Modal System, ŁM

3 Modern Modal Predicate Logic

4 McCall’s L-X-M System

4.1 Rejections in L-X-M

5 Semantics for L-X-M

5.1 Thomason models

5.2 Variants of the L-X-M system

6 The Chain Condition, Relevance Logic and the AP system

7 Contingent Syllogisms

7.1 Overlooked acceptances in the Q-L-X-M system

8 QLXM’

8.1 Semantics for QLXM’

8.2 Q-valid moods needed for completeness

9 The Aristotelicity of QLXM’

10 Tally of the Two-Premised Q-Valid Syllogisms

11 Extensions