Famous quotes containing the words arbitrary, precision and/or arithmetic:
“It is not an arbitrary decree of God, but in the nature of man, that a veil shuts down on the facts of to-morrow; for the soul will not have us read any other cipher than that of cause and effect. By this veil, which curtains events, it instructs the children of men to live in to-day.”
—Ralph Waldo Emerson (18031882)
“One can prove or refute anything at all with words. Soon people will perfect language technology to such an extent that theyll be proving with mathematical precision that twice two is seven.”
—Anton Pavlovich Chekhov (18601904)
“Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.”
—Gottlob Frege (18481925)