Sentence examples for necessity and possibility from inspiring English sources

It is a question about the metaphysics of necessity and possibility, of possible worlds and so on.

Modern modal logic treats necessity and possibility as interdefinable: "necessarily P" is equivalent to "not possibly not P", and "possibly P" to "not necessarily not P".

Pretty clearly, however, to capture necessity and possibility, one must be able to consider alternative "possible" domains of quantification and alternative "possible" extensions for predicates as well.

However, despite its name, "Modal Fictionalism" in its usual manifestations is not primarily fictionalism about claims of necessity and possibility, but rather a fictionalist approach to claims about possible worlds.

2. Other biconditionals which might be needed besides the ones associated with the sentential operators of necessity and possibility are ones connecting counterfactual statements and "closeness" relations between possible worlds, and biconditionals connecting probability values and measures on sets of possible worlds.

Necessity and possibility are interdefinable, \(P\) is necessary when it is not possible that not-\(P\).

Necessities and possibilities at this basic level are called modalities 'from eternity and without beginning'.

Another influential idea was the distinction between logical and natural necessities and possibilities.

There are four modal paradigms in ancient philosophy: the frequency interpretation of modality, the model of possibility as a potency, the model of antecedent necessities and possibilities with respect to a certain moment of time (diachronic modalities), and the model of possibility as non-contradictoriness.

(3) The concepts of (logical) necessity and (logical) possibility can be added.

In this respect, logicians' prospects have been enhanced by the development of a semantical theory of modal logic, both in the narrower sense of modal logic, which is restricted to logical necessity and logical possibility, and in the wider sense, in which all concepts that exhibit similar logical behaviour are included.