Zermelo set theory, as set out in an important paper in 1908 by Ernst Zermelo, is the ancestor of modern set theory. It bears certain differences from its descendants, which are not always understood, and are frequently misquoted. This article sets out the original axioms, with the original text (translated into English) and original numbering.
Read more about Zermelo Set Theory: The Axioms of Zermelo Set Theory, Connection With Standard Set Theory, The Aim of Zermelo's Paper, The Axiom of Separation, Cantor's Theorem
Famous quotes containing the words set and/or theory:
“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–?)
“There never comes a point where a theory can be said to be true. The most that one can claim for any theory is that it has shared the successes of all its rivals and that it has passed at least one test which they have failed.”
—A.J. (Alfred Jules)