Sentence examples for invoking propositions from inspiring English sources

The former arguments are plainly theoretical: they appeal to the explanatory power of semantical theories invoking propositions.

One might argue that relational analyses invoking propositions, facts, properties, and events all make the same mistake of reading too much ontology into English.

Then invoking Proposition 2.2, we obtain that the problem.

Invoking Proposition 2.1, for a given, the problem (HIE-2).

Invoking Proposition 2.3, we have that u 0  is a local  W 0 1, p -minimizer of  φ λ. (3.16).

Since C 0 3 is dense in E, invoking Proposition 16 of Palais [20], we have H k ( E, I ˙ a ) = H k ( C 0 3 , I ˙ 1 a ) for all  a ∈ R  and all integers  k ≥ 0. (21).

From inequalities (40) and (43), we know that I has a local linking at 0. Then invoking Proposition 2.3 of Bartsch and Li [17], we obtain C d ( I, 0 ) ≠ 0. □.

In order to assess the stability of the MJLS in (23) and find its stationary first- and second-order moments, we will first introduce some new notation and then directly invoke Proposition 3.37 in [27], which we for completeness3 include as Lemma 3.3 below.

Our uses of "if", on the whole, seem to be better and more uniformly explained without invoking conditional propositions.

The converse can be proved 'elementwise', but it is easier to invoke [80, Proposition 5.2.6(1)], which implies that for a Z -graded ring, primeness is equivalent to graded primeness.

So an explanation of false judgement that invoked entities called propositions would be unavailable to the sort of empiricist that Plato has in his sights.