Line Arithmetic

Famous quotes containing the words line and/or arithmetic:

    Gascoigne, Ben Jonson, Greville, Raleigh, Donne,
    Poets who wrote great poems, one by one,
    And spaced by many years, each line an act
    Through which few labor, which no men retract.
    This passion is the scholar’s heritage,
    Yvor Winters (1900–1968)

    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)