P Versus NP Problem - Consequences of The Resolution of The Problem

Consequences of The Resolution of The Problem

One of the reasons the problem attracts so much attention is the consequences of the answer. Either direction of resolution would advance theory enormously, and perhaps have huge practical consequences as well.

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Famous quotes containing the words consequences of the, consequences of, consequences, resolution and/or problem:

    We are still barely conscious of how harmful it is to treat children in a degrading manner. Treating them with respect and recognizing the consequences of their being humiliated are by no means intellectual matters; otherwise, their importance would long since have been generally recognized.
    Alice Miller (20th century)

    War is thus divine in itself, since it is a law of the world. War is divine through its consequences of a supernatural nature which are as much general as particular.... War is divine in the mysterious glory that surrounds it and in the no less inexplicable attraction that draws us to it.... War is divine by the manner in which it breaks out.
    Joseph De Maistre (1753–1821)

    The horror of Gandhi’s murder lies not in the political motives behind it or in its consequences for Indian policy or for the future of non-violence; the horror lies simply in the fact that any man could look into the face of this extraordinary person and deliberately pull a trigger.
    Mary McCarthy (1912–1989)

    [A]s I am pretty well acquainted by great Opportunities with the Nature of Man, and know of a Truth, that all Men fight against their Will, the Danger vanishes, and Resolution rises upon this Subject. For this Reason I shall talk very freely on a Custom which all Men wish exploded, tho’ no Man has Courage enough to resist it.
    Richard Steele (1672–1729)

    But a problem occurs about nothing. For that from which something is made is a cause of the thing made from it; and, necessarily, every cause contributes some assistance to the effect’s existence.
    Anselm of Canterbury (1033–1109)