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:
“The whole land seems aroused to discussion on the province of woman, and I am glad of it. We are willing to bear the brunt of the storm, if we can only be the means of making a break in that wall of public opinion which lies right in the way of woman’s rights, true dignity, honor and usefulness.”
—Angelina Grimké (1805–1879)
“Through dinner she felt a gradual icy coldness stealing through her like novocaine. She had made up her mind. It seemed as if she had set the photograph of herself in her own place, forever frozen into a single gesture.”
—John Dos Passos (1896–1970)
“It was at that moment, just after Krug had fallen through the bottom of a confused dream and sat up on the straw with a gasp—and just before his reality, his remembered hideous misfortune could pounce upon him—it was then that I felt a pang of pity for Adam and slid towards him along an inclined beam of pale light—causing instantaneous madness, but at least saving him from the senseless agony of his logical fate.”
—Vladimir Nabokov (1899–1977)
“Wit is so shining a quality that everybody admires it; most people aim at it, all people fear it, and few love it unless in themselves. A man must have a good share of wit himself to endure a great share of it in another.”
—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)