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:
“Those who wander in the world avowedly and purposely in pursuit of happiness, who view every scene of present joy with an eye to what may succeed, certainly are more liable to disappointment, misfortune and unhappiness, than those who give up their fate to chance and take the goods and evils of fortune as they come, without making happiness their study, or misery their foresight.”
—Frances Burney (17521840)
“If the Russians have gone too far in subjecting the child and his peer group to conformity to a single set of values imposed by the adult society, perhaps we have reached the point of diminishing returns in allowing excessive autonomy and in failing to utilize the constructive potential of the peer group in developing social responsibility and consideration for others.”
—Urie Bronfenbrenner (b. 1917)
“There is no logical reason why the camel of great art should pass through the needle of mob intelligence.”
—Rebecca West (18921983)
“While the rest of the world has been improving technology, Ghana has been improving the quality of mans humanity to man.”
—Maya Angelou (b. 1928)