more from M Fitting/R Mendelsohn

Single Idea 9404

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

Full Idea

P→◊P is usually considered to be valid, but its converse, ◊P→P is not, so (by Frege's own criterion) P and possibly-P differ in conceptual content, and there is no reason why logic should not be widened to accommodate this.

Gist of Idea

Modality affects content, because P→◊P is valid, but ◊P→P isn't


M Fitting/R Mendelsohn (First-Order Modal Logic [1998], 1.2)

Book Reference

Fitting,M/Mendelsohn,R: 'First-Order Modal Logic' [Synthese 1998], p.5

A Reaction

Frege had denied that modality affected the content of a proposition (1879:p.4). The observation here is the foundation for the need for a modal logic.