Famous quotes containing the words arbitrary, precision and/or arithmetic:
“The Brahmans virtue consists in doing, not right, but arbitrary things.”
—Henry David Thoreau (18171862)
“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)
“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (18481925)