Famous quotes containing the words mathematics, world and/or contest:
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)
“... there was the first Balkan war and the second Balkan war and then there was the first world war. It is extraordinary how having done a thing once you have to do it again, there is the pleasure of coincidence and there is the pleasure of repetition, and so there is the second world war, and in between there was the Abyssinian war and the Spanish civil war.”
—Gertrude Stein (1874–1946)
“Another danger is imminent: A contested result. And we have no such means for its decision as ought to be provided by law. This must be attended to hereafter.... If a contest comes now it may lead to a conflict of arms. I can only try to do my duty to my countrymen in that case. I shall let no personal ambition turn me from the path of duty. Bloodshed and civil war must be averted if possible. If forced to fight, I have no fears from lack of courage or firmness.”
—Rutherford Birchard Hayes (1822–1893)