Shortest Addition Chain

Famous quotes containing the words shortest, addition and/or chain:

    Cultivated labor drives out brute labor. An infinite number of shrewd men, in infinite years, have arrived at certain best and shortest ways of doing, and this accumulated skill in arts, cultures, harvestings, curings, manufactures, navigations, exchanges, constitutes the worth of our world to-day.
    Ralph Waldo Emerson (1803–1882)

    But the best read naturalist who lends an entire and devout attention to truth, will see that there remains much to learn of his relation to the world, and that it is not to be learned by any addition or subtraction or other comparison of known quantities, but is arrived at by untaught sallies of the spirit, by a continual self-recovery, and by entire humility.
    Ralph Waldo Emerson (1803–1882)

    Man ... cannot learn to forget, but hangs on the past: however far or fast he runs, that chain runs with him.
    Friedrich Nietzsche (1844–1900)