Famous quotes containing the words pointer and/or arithmetic:
“The hardiest skeptic who has seen a horse broken, a pointer trained, or has visited a menagerie or the exhibition of the Industrious Fleas, will not deny the validity of education. A boy, says Plato, is the most vicious of all beasts; and in the same spirit the old English poet Gascoigne says, A boy is better unborn than untaught.”
—Ralph Waldo Emerson (18031882)
“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)