Sentence examples for necessary proposition from inspiring English sources

L is intended to be interpreted as "It is necessary that," so that Lp will be true if and only if p is a necessary proposition.

According to Aristotle, possibility is to be understood in relation to necessity: whereas a necessary proposition predicates something of a thing's essence (as in "All humans are mortal"), a possible proposition predicates something of a thing that is merely accidental (as in "Some humans are tall").

By convention, he sets the value of the necessary proposition at 0 the necessary proposition is no news at all!

Indeed, unstructured propositionalism entails that there is exactly one necessary proposition.

Hence Spinoza must believe that dependence and explanation are more fine-grained affairs than our modern logical entailment allows, since according to the latter, every necessary proposition entails and is entailed by every other necessary proposition.

The problem is that the Russellian analysis seems to turn a contingent proposition into a necessary proposition.

Necessary propositions are sometimes said to be true or false (as the case may be) in all possible worlds.

According to a traditional view, all true necessary propositions are analytic (tautologous) and knowable a priori (knowable independently of experience).

Moreover, the Renaissance enthusiasm for mathematics had resulted in a profound interest in rational principles, necessary propositions, and innate ideas.

Because all analytic propositions are both a priori and necessary, most philosophers have assumed without much reflection that all necessary propositions are a priori.

Many necessary propositions, such as "All husbands are married," are a priori though it has been argued that some are not (see below Necessary a posteriori propositions)—and most contingent propositions are a posteriori.