Countably Infinite Set

Famous quotes containing the words infinite and/or set:

    Vanity is as advantageous to a government as pride is dangerous. To be convinced of this we need only represent, on the one hand, the numberless benefits which result from vanity, as industry, the arts, fashions, politeness, and taste; and on the other, the infinite evils which spring from the pride of certain nations, a laziness, poverty, a total neglect of everything.
    —Charles Louis de Secondat Montesquieu (1689–1755)

    Women are to be lifted up to a physical equality with man by placing upon their shoulders equal burdens of labor, equal responsibilities of state-craft; they are to be brought down from their altruistic heights by being released from all obligations of purity, loyalty, self-sacrifice, and made free of the world of passion and self-indulgence, after the model set them by men of low and materialistic ideals.
    Caroline Fairfield Corbin (b. c. 1835–?)