The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.
Nicholas Murray ButlerThe world is divided into three kinds of people: A very small group that makes things happen; a somewhat larger group that watches things happen; and a great multitude that never knows what has happened.
Nicholas Murray ButlerThose people who think only of themselves, are hopelessly uneducated. They are not educated, no matter how instructed they may be.
Nicholas Murray ButlerModern mathematics, that most astounding of intellectual creations, has projected the mind's eye through infinite time and the mind's hand into boundless space.
Nicholas Murray ButlerThe youth of today and the youth of tomorrow will be accorded an almost unequaled opportunity for great accomplishment and for human service.
Nicholas Murray ButlerThe old world order changed when this war-storm broke. The old international order passed away as suddenly, as unexpectedly, and as completely as if it had been wiped out by a gigantic flood, by a great tempest, or by a volcanic eruption. The old world order died with the setting of that day's sun and a new world order is being born while I speak, with birth-pangs so terrible that it seems almost incredible that life could come out of such fearful suffering and such overwhelming sorrow.
Nicholas Murray Butler