Famous quotes containing the words arithmetic and/or logic:
“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 (1848–1925)
“There is no morality by instinct.... There is no social salvation—in the end—without taking thought; without mastery of logic and application of logic to human experience.”
—Katharine Fullerton Gerould (1879–1944)