Mathematical Objects Exist

Famous quotes containing the words mathematical, objects and/or exist:

    An accurate charting of the American woman’s progress through history might look more like a corkscrew tilted slightly to one side, its loops inching closer to the line of freedom with the passage of time—but like a mathematical curve approaching infinity, never touching its goal. . . . Each time, the spiral turns her back just short of the finish line.
    Susan Faludi (20th century)

    But after the intimacy-inducing rituals of puberty, boys who would be men are told we must go it alone, we must achieve our heroism as the Lone Ranger, we must see the other men as threats to our masculine mastery, as objects of competition.
    Frank Pittman (20th century)

    Writing long books is a laborious and impoverishing act of foolishness: expanding in five hundred pages an idea that could be perfectly explained in a few minutes. A better procedure is to pretend that those books already exist and to offer a summary, a commentary.
    Jorge Luis Borges (1899–1986)