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Logic Quotes

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Logic Quotes

“When the boy begins to understand that the visible point is preceded by an invisible point, that the shortest distance between two points is conceived as a straight line before it is ever drawn with pencil and paper...the fountain of all thought has been opened to him...the philosopher can reveal him nothing new, as a geometrician he has discovered the basis of all thought.”

“Promenade was totally driven by the context. The internal relationships of measurement and placement related to the central axis of the site. The placement of the rectangular plates followed a strict logic in that the plates tilted away and towards the center line in an asymmetrical counterpoint. However, the perception of the sculpture contradicts the logic of its relation to the site. As you walk inbetween the plates you see fragments, you see the work in part, you cannot grasp the whole.”

“Logic, too, also rests on assumptions that do not correspond to anything in the real world, e.g., on the assumption that there areequal things, that the same thing is identical at different points in time: but this science arose as a result of the opposite belief (that such things actually exist in the real world). And it is the same with mathematics, which would certainly never have arisen if it had been understood from the beginning that there is no such thing in nature as a perfectly straight line, a true circle, and absolute measure.”

“Scholars and artists thrown together are often annoyed at the puzzle of where they differ. Both work from knowledge; but I suspectthey differ most importantly in the way their knowledge is come by. Scholars get theirs with conscientious thoroughness along projected lines of logic; poets theirs cavalierly and as it happens in and out of books. They stick to nothing deliberately, but let what will stick to them like burrs where they walk in the fields.”

“The question of "unreality"is a very important one. Misled by grammar, the great majority of those logicians who have dealt with this question have dealt with it on mistaken lines. They have regarded grammatical form as a surer guide in analysis than, in fact, it is. And they have not known what differences in grammatical form are important.”

“The world of shapes, lines, curves, and solids is as varied as the world of numbers, and it is only our long-satisfied possession of Euclidean geometry that offers us the impression, or the illusion, that it has, that world, already been encompassed in a manageable intellectual structure. The lineaments of that structure are well known: as in the rest of life, something is given and something is gotten; but the logic behind those lineaments is apt to pass unnoticed, and it is the logic that controls the system.”

“And what amazes me as I hit the motorway is not the fact that everyone loses someone, but that everyone loves someone. It seems like such a massive waste of energy -- and we all do it, all the people beetling along between the white lines, merging, converging, overtaking. We each love someone, even though they will die. And we keep loving them, even when they are not there to love any more. And there is no logic or use to any of this, that I can see.”

“Before the nineteen-seventies, most Republicans in Washington accepted the institutions of the welfare state, and most Democrats agreed with the logic of the Cold War. Despite the passions over various issues, government functioned pretty well. Legislators routinely crossed party lines when they voted, and when they drank; filibusters in the Senate were reserved for the biggest bills; think tanks produced independent research, not partisan talking points. The "D." or "R." after a politician's name did not tell you what he thought about everything, or everything you thought about him.”

“Scientists are the easiest to fool. ... They think in straight, predictable, directable, and therefore misdirectable, lines. The only world they know is the one where everything has a logical explanation and things are what they appear to be. Children and conjurors-they terrify me. Scientists are no problem; against them I feel quite confident.”

“His musical inspiration operates in a world uncluttered by conventional bar lines, conventional chord changes, and conventional ways of blowing or fingering a saxophone. Such practical 'limitations' did not even have to be overcome in his music; they somehow never existed for him. Despite this - or more accurately, because of this - his playing has a deep inner logic. Not an obvious surface logic, it is based on subtleties of reaction, subtleties of timing and color that are, I think, quite new to jazz - at least they have never appeared in so pure and direct a form.”

“It is impossible to discuss realism in logic without drawing in the empirical sciences... A truly realistic mathematics should be conceived, in line with physics, as a branch of the theoretical construction of the one real world and should adopt the same sober and cautious attitude toward hypothetic extensions of its foundation as is exhibited by physics.”

“With his new CD 'Tactiles' Liberty Ellman emerges as one of the most intriguing, albeit unorthodox, guitarists on the New York scene today. An album of original, esoteric compositions marked by dense polyrhythms, dissonant, angular lines and an organic logic that ties the whole thing together in brilliant fashion.”

“The art of reasoning becomes of first importance. In this line antiquity has left us the finest models for imitation; I should consider the speeches of Livy, Sallust, and Tacitus, as pre-eminent specimens of logic, taste, and that sententious brevity which, using not a word to spare, leaves not a moment for inattention to the hearer. Amplification is the vice of modern oratory.”