Universal Set

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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

2015

  • (Tsokos & Wooten, 2015) & Chris P. Tsokos, Rebecca D. Wooten (2015). "The Joy of Finite Mathematics: The Language and Art of Math". Academic Press.
    • QUOTE: The universal set [math]\displaystyle{ U }[/math] is the largest set in given context that is; the universal set is the totality of the elements under consideration. Denoted by the capital letter, [math]\displaystyle{ U }[/math] is normally written with the upper bars, [math]\displaystyle{ U }[/math] or a tail, [math]\displaystyle{ U }[/math] to be it distinguishable from the union symbol, [math]\displaystyle{ \cup }[/math].

  1. Forster 1995 p. 1.