Sentence examples for sets of propositions from inspiring English sources

But this is not to commit to the claim that propositional quantification is to be reduced to objectual quantification over sets of propositions or sets of possible worlds or what have you.

Rather, they should be defined as downward closed sets of propositions.

A second option (Karttunen 1977) is to take wh-complements to denote sets of propositions.

If one takes possible worlds as maximally consistent sets of propositions (as per Adams 1974), impossible worlds could be sets of propositions that are locally inconsistent and/or incomplete.

For instance, if possible worlds are identified with maximal consistent sets of propositions, haecceitism can be taken as the claim that there are distinct maximal consistent sets of propositions that include the same qualitative propositions but different non-qualitative propositions.

There are maximal sets of propositions that are not possible worlds because they are not consistent in the relevant sense.

It is, however, one thing for a proposition or set of propositions to be false, another altogether for it to be necessarily false.

The first set of propositions suggests solutions for such conflicts.

Is it the set of propositions that one knows?

Or perhaps, the set of propositions that one justifiably believes?

Or rather, the set of propositions that one believes?