Finite Simple Groups

Famous quotes containing the words finite, simple and/or groups:

    We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
    Blaise Pascal (1623–1662)

    Let not ambition mock their useful toil,
    Their homely joys, and destiny obscure;
    Nor grandeur hear with a disdainful smile,
    The short and simple annals of the poor.
    Thomas Gray (1716–1771)

    As in political revolutions, so in paradigm choice—there is no standard higher than the assent of the relevant community. To discover how scientific revolutions are effected, we shall therefore have to examine not only the impact of nature and of logic, but also the techniques of persuasive argumentation effective within the quite special groups that constitute the community of scientists.
    Thomas S. Kuhn (b. 1922)