Sentence examples for contrary opposition from inspiring English sources

But the two forms of rectilinear motion are opposed to one another by reason of their places; for up and down is a difference and a contrary opposition in place.

§1 presents the classical treatment of LNC as an axiom in Aristotle's "First Philosophy" and reviews the status of contradictory and contrary opposition as schematized on the Square of Opposition.

This entry outlines the role of the law of non-contradiction (LNC) as the foremost among the first (indemonstrable) principles of Aristotelian philosophy and its heirs, and depicts the relation between LNC and LEM (the law of excluded middle) in establishing the nature of contradictory and contrary opposition.

Opposition between terms cannot be contradictory in nature, both because only statements (subject-predicate combinations) can be true or false (Categories 13b3 12) and because any two terms may simultaneously fail to apply to a given subject.[3] But two statements may be members of either a contradictory or a contrary opposition.

(By contrarieties of place I mean up and down, back and front, and right and left; and the contrary oppositions of movements are determined by those of places). One of the motions, then, would be ineffective, for if the two motions were of equal strength, there would be no movement either way, and if one of the two were preponderant, the other would be inoperative.

But while LNC applies both to contradictory and contrary oppositions, LEM holds only for contradictories: "Nothing can exist between two contradictories, but something may exist between contraries" (Metaphysics 1055b2): a dog cannot be both black and white, but it may be neither.

As it was put by the medievals, contradictory opposites divide the true and the false between them; for Aristotle, this is the primary form of opposition.[2] Contrary opposites ("He is happy"/"He is sad") are mutually inconsistent but not necessarily exhaustive; they may be simultaneously false, though not simultaneously true.

On the contrary, the opposition includes robust civic groups that are comfortable working with the Democratic Party.

The government has been forced on to the defensive, with interior minister Hans-Peter Friedrich insisting that contrary to opposition accusations, it knew nothing of the operations, and that it has so far found no concrete evidence that US agents operated on German soil.

To be clear, the proposed reform does not fire every commander or any commander contrary to opposition hyperbole.

Contrary to the opposition and the fears of some (letter, Oct. 14), Prime Minister Recep Tayyip Erdogan is not Islamifying the country.