Single Idea 9729

[catalogued under 4. Formal Logic / D. Modal Logic ML / 1. Modal Logic]

Full Idea

Modal Square of Opposition 2: 'It is not necessary that not P' and 'It is possible that P' are the subcontraries (not both false) of 'It is not necessary that P' and 'It is possible that not P'.

Gist of Idea

Modal Square 2: ¬□¬P and ◊P are 'subcontraries' of ¬□P and ◊¬P

Source

report of Aristotle (On Interpretation [c.330 BCE], Ch.12b) by M Fitting/R Mendelsohn - First-Order Modal Logic 1.4

Book Reference

Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.7