Sentence examples for proposition is needed from inspiring English sources

The tribes are emphasizing in advertisements that approval of the proposition is needed to prevent the shutdown of existing casinos, which have allowed the tribes to escape poverty.

The following technical proposition is needed to show an analogue to the main result in [25].

The following proposition is needed for a proof of Theorem 3.2.

The following proposition is needed to prove the main theorems in this article.

To present a proof of Theorem 2.2, the following proposition is needed.

A serious thought and thorough examination of this proposition is needed since, if proved to be correct, it can change the line of treatment of metabolic disorders substantially.

The following definition and proposition are needed for the main results of the paper.

Whether propositions are needed for the semantics of natural language is a matter of continuing dispute.

Thus, it has been suggested, less in print perhaps than in conversation, that propositions are needed to play the role of being what synonymous sentences have in common, what a sentence and its translation into another language have in common, etc. Arguments of this sort are typically met with the following reply: commonalties do not necessarily require common relations to a single entity.

Centered propositions are needed to adequately represent self-locating beliefs such as Sophia's belief that she lives in Vienna, which may well be different from her belief that Sophia lives in Vienna (these two beliefs differ if Sophia does not believe that she is Sophia).

The following examples tell that the continuity of θ in Proposition 8 is needed.