The Axiom of Choice
Lorenz J. Halbeisen;
The Axiom of Choice
In 1904, Zermelo published his first proof that every set can be well-ordered. The proof is based on the so-called Axiom of Choice, denoted AC, which, in Zermelo’s words, states that the product of an infinite totality of sets, each containing at least one element, itself differs from zero (i.e., the empty set). The full theory ZF+AC, denoted ZFC, is called Set Theory.
- University of Zurich Switzerland
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