Costs Arithmetic Operations

Famous quotes containing the words costs, arithmetic and/or operations:

    Pride can go without domestics, without fine clothes, can live in a house with two rooms, can eat potato, purslain, beans, lyed corn, can work on the soil, can travel afoot, can talk with poor men, or sit silent well contented with fine saloons. But vanity costs money, labor, horses, men, women, health and peace, and is still nothing at last; a long way leading nowhere.—Only one drawback; proud people are intolerably selfish, and the vain are gentle and giving.
    Ralph Waldo Emerson (1803–1882)

    Your discovery of the contradiction caused me the greatest surprise and, I would almost say, consternation, since it has shaken the basis on which I intended to build my arithmetic.... It is all the more serious since, with the loss of my rule V, not only the foundations of my arithmetic, but also the sole possible foundations of arithmetic seem to vanish.
    Gottlob Frege (1848–1925)

    It may seem strange that any road through such a wilderness should be passable, even in winter, when the snow is three or four feet deep, but at that season, wherever lumbering operations are actively carried on, teams are continually passing on the single track, and it becomes as smooth almost as a railway.
    Henry David Thoreau (1817–1862)