Arbitrary Precision Arithmetic

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

    Languages exist by arbitrary institutions and conventions among peoples; words, as the dialecticians tell us, do not signify naturally, but at our pleasure.
    François Rabelais (1494–1553)

    Concision in style, precision in thought, decision in life.
    Victor Hugo (1802–1885)

    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)