Sentence examples for modal and quantifier from inspiring English sources

We can then transpose the modal and quantifier in Alien to derive ∃x◊¬A∃y y=x).

He suggests that there will be trouble extending the treatment to tense, modals and quantifiers and that this spells trouble for expressivism.

One way to substantiate this worry is to invoke the Barcan Formula, or one of the mixing axioms proposed for modal operators and quantifiers in Ruth Barcan Marcus's groundbreaking work in quantified modal logic [Marcus 1946], according to which all instances of the sentence ◊∃xφ(x) →∃x◊φ(x) are logical true.

More complex formulas are built up using propositional connectives, modal operators, and quantifiers, \(\forall\) and \(\exists\), in the usual way.

The view also faces difficulties in properly accounting for the interaction of quantifiers and modal and tense operators.

Relativization and quantifier restriction, by contrast, allow us to define broader modal properties in terms of narrower ones.

On either interpretation, any world at which a second-order theory is true will have either properties or sets in its domain, and so the modal quantifier criterion (from §1.5) can be applied without amendment.

It is also shown that this ban regulates adverb insertion, adjective insertion, and quantifier raising.

We next present two clauses for each connective and quantifier.

The identification was based on the ion ratio of qualifier and quantifier ion traces.

Reference, modal, and intensional notions.