Single Idea 9773

[catalogued under 7. Existence / D. Theories of Reality / 10. Vagueness / f. Supervaluation for vagueness]

Full Idea

With the super-truth approach, if P is 'blob is pink' and R is 'blob is red', then P&R is false, and P∨R is true, since one of P and R is true and one is false in any complete and admissible specification. It encompasses all 'penumbral truths'.

Gist of Idea

With the super-truth approach, the classical connectives continue to work

Source

Kit Fine (Vagueness, Truth and Logic [1975], 3)

Book Reference

'Vagueness: a Reader', ed/tr. Keefe,R /Smith,P [MIT 1999], p.132


A Reaction

[See Idea 9767 for the super-truth approach, and Idea 9770 for a contrasting view] The approach, which seems quite appealing, is that we will in no circumstances give up basic classical logic, but we will make maximum concessions to vagueness.

Related Ideas

Idea 9767 A vague sentence is only true for all ways of making it completely precise [Fine,K]

Idea 9770 Logical connectives cease to be truth-functional if vagueness is treated with three values [Fine,K]