Sentence examples for propositions needed from inspiring English sources

Section 2 presents definitions and some well-known technical propositions needed for the proof of the main results.

The article is organized as follows: Section 2 presents definitions and some well-known technical propositions needed for the proof of the main results.

The paper is organized as follows: Section 2 presents definitions and some well-known technical propositions needed for the proof of the main results.

Different value propositions need to be marketed to different groups.

The last great Platonist and Euclidean commentator of antiquity, Proclus (c. 410 485 ce), attributed to the inexhaustible Thales the discovery of the far-from-obvious proposition that even apparently obvious propositions need proof.

Suppose, for example, that the evidence for contrasting propositions need only meet the safe indication condition.

Price tells us that a self-evident proposition is immediate, and needs no further proof, and goes on to say that self-evident propositions need only be understood to gain assent 1758/1969, 187).

If it requires a warrant of its own, the result will be an infinite regress of propositions needing warrants; if it is declared self-validating, then why not say of all propositions they are self-validating?

Both interpretations thus respect Wittgenstein's warning to Waismann in 1929 that "The logical structure of elementary propositions need not have the slightest similarly with the logical structure of [non-elementary] propositions" (WWK, 42).

Lober's collaborative window model suggests that a change in environmental policy sometimes requires the collaboration of various actors and that five propositions need to be fulfilled to open the collaborative window.

Fourth, because we cannot directly discover the cognitive processes in the mind of managers, we used interviews and document analysis; the propositions need to be tested beyond our case studies; studies based on real time observation or even brain wave studies such as MRI would be useful.