Sentence examples for implied proposition from inspiring English sources

Then an insoluble like 'Socrates utters a falsehood', uttered by Socrates, is false not because its terms don't supposit for the same, but because the terms in the implied proposition can't also do so.

But the implied proposition, 'P is true' (where P is the name of 'Every proposition is false'), is false because its constituent terms, 'Every proposition is false' and 'true', do not stand for the same thing, since ex hypothesi, P stands for the antecedent proposition 'Every proposition is false', not for things that are true.

The proof of Theorem 1 can be adapted to imply Proposition 1.

Under the compatibility reading of $N$ this condition says that every world $Y$ is incompatible with is also a world $X$ is incompatible with, if proposition $X$ implies proposition $Y$.

As Price (1996, 278 n.7) puts it in the context of endorsing Horwich's conclusion: "the hypothesis of time travel can be made to imply propositions of arbitrarily low probability.

Finally, we turn to the set of attraction (cf. Sect. 2.4) of Model 3. As implied by Proposition 1 (Proposition 2), the set of attraction of Model 2a (Model 3) is a subset of S A2a (S A3).

A last type of inference is called contraposition and is produced by the fact that some propositions imply the proposition that results from the original proposition when both of its term variables are negated and their order reversed.

The meaning of "implies" is that "of ordinary inference and proof" (1912, 531) according to which a proposition implies another proposition if the second can be logically deduced from the first.

Rather, his later theory claims that every proposition virtually implies another proposition asserting the truth of the first.

In contrast, the sign of β2 implied by Proposition 2 is significantly positive.11.11

Within Lewis' systems S2 S5, a necessarily true proposition is strictly implied by any proposition whatsoever, and a necessarily false proposition strictly implies any proposition whatsoever.