UNIVERSALSET

Universal set

In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, the conception of a set of all sets leads to a paradox. The reason for this lies with Zermelo's axiom of comprehension: for any formula <math>\varphi</math> and set, there exists a set

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universal set

Noun

  1. A set large enough to contain all sets under consideration in the current context.


The above text is a snippet from Wiktionary: universal set
and as such is available under the Creative Commons Attribution/Share-Alike License.

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