Arbitrary Precision Arithmetic

Famous quotes containing the words arbitrary, precision and/or arithmetic:

    It is not an arbitrary “decree of God,” but in the nature of man, that a veil shuts down on the facts of to-morrow; for the soul will not have us read any other cipher than that of cause and effect. By this veil, which curtains events, it instructs the children of men to live in to-day.
    Ralph Waldo Emerson (1803–1882)

    How should the world be luckier if this house,
    Where passion and precision have been one
    Time out of mind, became too ruinous
    To breed the lidless eye that loves the sun?
    William Butler Yeats (1865–1939)

    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)