Famous quotes containing the words arbitrary, precision and/or arithmetic:
“The lore of our fathers is a fabric of sentences. In our hands it develops and changes, through more or less arbitrary and deliberate revisions and additions of our own, more or less directly occasioned by the continuing stimulation of our sense organs. It is a pale gray lore, black with fact and white with convention. But I have found no substantial reasons for concluding that there are any quite black threads in it, or any white ones.”
—Willard Van Orman Quine (b. 1908)
“We are often struck by the force and precision of style to which hard-working men, unpracticed in writing, easily attain when required to make the effort. As if plainness and vigor and sincerity, the ornaments of style, were better learned on the farm and in the workshop than in the schools. The sentences written by such rude hands are nervous and tough, like hardened thongs, the sinews of the deer, or the roots of the pine.”
—Henry David Thoreau (1817–1862)
“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)