Difference between revisions of "Universal Set"

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A [[Universal Set]] is a [[set]] that contains all [[objects]]s, including itself.
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A [[Universal Set]] is a [[set]] that contains all [[object]]s, including itself.
 
* <B>AKA:</B> [[Set Universe]].
 
* <B>AKA:</B> [[Set Universe]].
* <B>See:</B> [[Complement Set Operation]],  
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* <B> Context: </B>
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* It is usually denoted by the capital letter, <math>U</math>.
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* <B>Example(s):</B>
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** The [[complement]] of an [[empty set]].
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* <B>Counter-Example(s):</B>
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** an [[Empty Set]],
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** a [[Subset]].
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* <B>See:</B> [[Complement Set Operation]], [[Grothendieck Universe]],  [[Domain of Discourse]].
 
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Revision as of 23:38, 10 November 2019

A Universal Set is a set that contains all objects, including itself.



References

2019a

  • (Wikipedia, 2019) ⇒ https://en.wikipedia.org/wiki/Universal_set Retrieved:2019-11-10.
    • In set theory, a universal set is a set which contains all objects, including itself. [1] In set theory as usually formulated, the conception of a universal set leads to Russell's paradox and is consequently not allowed. However, some non-standard variants of set theory include a universal set.

2019b


  1. Forster 1995 p. 1.