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### Single Idea 21624

#### [catalogued under 19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds]

Full Idea

It is well known that when a proposition is identified with the set of possible worlds at which it is true, a region in the space of possible worlds, cognitively significant distinctions are lost.

Gist of Idea

It is known that there is a cognitive loss in identifying propositions with possible worlds

Source

Timothy Williamson (Vagueness [1994], 7.6)

A Reaction

Alas, he doesn't specify which distinctions get lost, so this is just a pointer. It would seem likely that two propositions could have identical sets of possible worlds, while not actually saying the same thing. Equilateral/equiangular.

Book Reference

Williamson,Timothy: 'Vagueness' [Routledge 1996], p.211