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:

    Turning one’s novel into a movie script is rather like making a series of sketches for a painting that has long ago been finished and framed.
    Vladimir Nabokov (1899–1977)

    A single monk carries his own bucket of water; two monks carry their bucket of water together; but when there are three monks, there is no water at all.
    Chinese proverb.

    The contention that a standing army and navy is the best security of peace is about as logical as the claim that the most peaceful citizen is he who goes about heavily armed. The experience of every-day life fully proves that the armed individual is invariably anxious to try his strength. The same is historically true of governments. Really peaceful countries do not waste life and energy in war preparations, with the result that peace is maintained.
    Emma Goldman (1869–1940)

    What was it that drove these thousands into the arms of his art—what but the blissfully sensuous, searing, sense-consuming, intoxicating, hypnotically caressing, heavily upholstered—in a word, the luxurious quality of his music?
    Thomas Mann (1875–1955)