Banach-tarski Paradox/the Von Neumann Paradox in The Euclidean Plane

Famous quotes containing the words paradox, von, neumann and/or plane:

    ...This
    is the paradox of vision:
    Sharp perception softens
    our existence in the world.
    Susan Griffin (b. 1943)

    Experiments are mediators between nature and idea.
    —Johann Wolfgang Von Goethe (1749–1832)

    What a lesson here for our world. One blast, thousands of years of civilization wiped out.
    —Kurt Neumann (1906–1958)

    In time the scouring of wind and rain will wear down the ranges and plane off the region until it has the drab monotony of the older deserts. In the meantime—a two-million-year meantime—travelers may enjoy the cruel beauties of a desert in its youth,....
    —For the State of California, U.S. public relief program (1935-1943)