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

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

    The paradox of education is precisely this—that as one begins to become conscious one begins to examine the society in which he is being educated.
    James Baldwin (1924–1987)

    Master and Doctor are my titles;
    For ten years now, without repose,
    I’ve held my erudite recitals
    And led my pupils by the nose.
    —Johann Wolfgang Von Goethe (1749–1832)

    It means there are times when a mere scientist has gone as far as he can. When he must pause and observe respectfully while something infinitely greater assumes control.
    —Kurt Neumann (1906–1958)

    As for the dispute about solitude and society, any comparison is impertinent. It is an idling down on the plane at the base of a mountain, instead of climbing steadily to its top.
    Henry David Thoreau (1817–1862)