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| − | ===[[ | + | ===[[Zermelo-Fraenkel Axioms]]=== |
| − | + | The '''Zermelo-Fraenkel Axioms''' are a set of axioms that compiled by Ernst Zermelo and Abraham Fraenkel that make it very convenient for set theorists to determine whether a given collection of objects with a given property describable by the language of [[set theory]] could be called a [[set]]. As shown by paradoxes such as [[Russell's Paradox]], some restrictions must be put on which collections to call sets. | |
| − | + | This axiom establishes the... [[Zermelo-Fraenkel Axioms|[more]]] | |
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Revision as of 18:50, 21 December 2007
Zermelo-Fraenkel Axioms
The Zermelo-Fraenkel Axioms are a set of axioms that compiled by Ernst Zermelo and Abraham Fraenkel that make it very convenient for set theorists to determine whether a given collection of objects with a given property describable by the language of set theory could be called a set. As shown by paradoxes such as Russell's Paradox, some restrictions must be put on which collections to call sets.
This axiom establishes the... [more]
