Infinite Abelian Groups

Famous quotes containing the words infinite and/or groups:

“[The human mind] finds more facility in assenting to the self-existence of an invisible cause possessing infinite power, wisdom, and goodness, than in the self-existence of the universe, visibly destitute of these attributes, and which may be the effect of them.”
—James Madison (1751–1836)

“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)