Countably Infinite Set

Famous quotes containing the words infinite and/or set:

“Let us then examine this point, and say, “God is, or he is not.” But to which side shall we incline? Reason can decide nothing here. There is an infinite chaos which separates us. A game is being played at the extremity of this infinite distance where heads or tails will turn up. What will you wager?”
—Blaise Pascal (1623–1662)

“Was it an intellectual consequence of this ‘rebirth,’ of this new dignity and rigor, that, at about the same time, his sense of beauty was observed to undergo an almost excessive resurgence, that his style took on the noble purity, simplicity and symmetry that were to set upon all his subsequent works that so evident and evidently intentional stamp of the classical master.”
—Thomas Mann (1875–1955)