Logical Quality - Making Do With A Single Logical Quality

Making Do With A Single Logical Quality

Logical quality has become much less central to logical theory in the twentieth century. It has become common to use only one logical quality, typically called logical assertion. Much of the work previously done by distinguishing affirmation from denial is typically now done through the theory of negation. Thus, to most contemporary logicians, making a denial is essentially reducible to affirming a negation. Denying that Socrates is ill, is the same thing as affirming that it is not the case that Socrates is ill, which is basically affirming that Socrates is not ill. This trend may go back to Frege although his notation for negation is ambiguous between asserting a negation and denying. Gentzens notation definitely assimilates denial to assertion of negation, but might not quite have a single logical quality, see below.

Read more about this topic:  Logical Quality

Famous quotes containing the words making, single, logical and/or quality:

    Let a human being throw the energies of his soul into the making of something, and the instinct of workmanship will take care of his honesty.
    Walter Lippmann (1889–1974)

    A continual feast of commendation is only to be obtained by merit or by wealth: many are therefore obliged to content themselves with single morsels, and recompense the infrequency of their enjoyment by excess and riot, whenever fortune sets the banquet before them.
    Samuel Johnson (1709–1784)

    The sensual and spiritual are linked together by a mysterious bond, sensed by our emotions, though hidden from our eyes. To this double nature of the visible and invisible world—to the profound longing for the latter, coupled with the feeling of the sweet necessity for the former, we owe all sound and logical systems of philosophy, truly based on the immutable principles of our nature, just as from the same source arise the most senseless enthusiasms.
    Karl Wilhelm Von Humboldt (1767–1835)

    The quality of a man’s mind can generally be judged by the size of his wastepaper basket.
    José Bergamín (1895–1983)