Sentence examples for propositions is essential from inspiring English sources

Nevertheless, grasping the truth of propositions is essential to faith, because 'from the perspective of the one believing … the object of faith is something composite in the form of a proposition' (Summa Theologiae, 2a2ae, 1, 2 (O'Brien 1974, 11 & 13), my emphases).

In explaining the difference in this respect between necessity propositions and contingency propositions, he states that since the terms in per se necessity propositions are essential, 'Every A is necessarily B' and 'Whatever is necessarily A is necessarily B' mean the same.

The following example shows that the -domination property of in Proposition 3.8 is essential.

Let us give a proposition which is essential for our results.

The following proposition is crucial for obtaining theoretical results about essential fixed points on noncompact ANR-spaces.

The truth of the proposition that a lawyer is essential was vividly demonstrated to me by something that happened in Gideon's second trial.

But at a time when the nation faces its second straight budget deficit of more than $1 trillion under their watch, some Democrats in Congress may be more inclined to accept the proposition that budget reform is essential to the endurance of liberal government.

Arguably, it is essential to the proposition that Ava believes the proposition expressed by an utterance of (2)—that it is about Jospin and the property of being a Socialist.

Obviously, Example 3.4 can also show that the weak domination property of is essential for Proposition 3.8.

If what is essential to the proposition that Ava believes is that it is about Hesperus and the property of shining, how can she believe one thing and fail to believe the other since both are about Hesperus?

Our proposition is to consider that impact is essential if PSNR or PSNR-HVS-M reduction is more than 0.5 dB compared to PSNR or PSNR-HVS-M observed for δ V  = 0 and δ k  = 0, i.e., for perfect (recommended) settings.