Phrase Quotes - page 14
It sounds rather strange to talk of an infinite universe still expanding. If we were certain that the curvature was negative, we might still, as in the case of positive curvature, replace the phrase "the universe expands" by the equivalent one "the curvature of the universe decreases." But if the curvature is zero, and remains zero throughout, what sort of meaning are we to attach to the "expansion"? The real meaning is, of course, that the mutual distances between the galactic systems, measured in so-called natural measure, increase proportionally to a certain quantity R appearing in the equations, and varying with the time. The interpretation of R as the "radius of curvature" of the universe, though still possible if the universe has a curvature, evidently does not go down to the fundamental meaning of it.
Willem de Sitter
But I venture to submit, my lord, that the consideration which the people of the Western countries receive in consequence of their voting power should be available to us, in matters of finance at any rate, through an "intelligent anticipation” – to use a phrase of Your Lordship's- of our reasonable wishes on the part of the government.
Gopal Krishna Gokhale
The attempt to avoid a direct affirmation about infinite parallel straight lines caused Euclid to phrase the parallel axiom in a rather complicated way. He realized that, so worded, this axiom lacked the self-sufficiency of the other nine axioms, and there is good reason to believe that he avoided using it until he had to. Many Greeks tried to find substitute axioms for the parallel axiom or to prove it on the basis of the other nine. ...Simplicius.
Morris Kline
The mysterious musicality, the organic intermarriage of its forms convex and concave, the high singing phrase of a straight line bordering a plane and its sudden dropping into a scarcely traceable curve, and feel deeply, sharply, the profound peace, the philosophy awakened by the even distribution of light and shade, wandering from one curved plane into a deep clarity of light, enriching a carefully carved stone plane. One will understand at once that those awakened sensation have nothing to do with anatomical considerations, exactitudes observed or not.
Ossip Zadkine
It needs but half an eye to see in these latter days that science, the Grand Revelator of modern Western culture, has reached, without having intended to, a frontier. Either it must bury its dead, close its ranks, and go forward into a landscape of increasing strangeness, replete with things shocking to a culture-trammeled understanding, or it must become, in Claude Houghton's expressive phrase, the plagiarist of its own past. The frontier was foreseen in principle very long ago, and given a name that has descended to our day clouded with myth. That name is Babel. For science's long and heroic effort to be strictly factual has at last brought it into entanglement with the unsuspected facts of the linguistic order. These facts the older classical science had never admitted, confronted, or understood as facts. Instead they had entered its house by the back door and had been taken for the substance of Reason itself.
Benjamin Lee Whorf
The Army which I joined in 1922 was drab and unexhilarating after West Point. Most of our citizens assumed that World War I had ended all wars and hence regarded a standing army as useful as "a chimney in summer," to use an old English phrase. Promotion was strictly by seniority, and a large bloc of contemporary officrs taken into the Regular Army at the end of the war constituted a discouraging "hump" in the promotion list just ahead of my contemporaries and me. As a result it took me thirteen years to become a captain, and such distinguished officers as Generals Gruenther, McAuliffe, Palmer, and Wedemeyer, who graduated a few years before me, took seventeen years. Under such conditions of stagnation, many of the most promising officers resigned and sought their fortune in civil life. But for some unaccountable reason a remarkable number stayed in the service to become the military leaders of World War II.
Maxwell D. Taylor
