Famous quotes containing the words arbitrary, precision and/or arithmetic:
“A state that denies its citizens their basic rights becomes a danger to its neighbors as well: internal arbitrary rule will be reflected in arbitrary external relations. The suppression of public opinion, the abolition of public competition for power and its public exercise opens the way for the state power to arm itself in any way it sees fit.... A state that does not hesitate to lie to its own people will not hesitate to lie to other states.”
—Václav Havel (b. 1936)
“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)