Question

what is universal set???​

Answer 1

Answer:

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 universal set leads to Russell's paradox and is consequently not allowed. However, some non-standard variants of set theory include a universal set. .....

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Answer 2

Answer:

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Explanation:

•DEFINITION»

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.

•NOTATION»

There is no standard notation for the universal set of a given set theory. Common symbols include V, U and ξ

•Reasons for nonexistence»

Many set theories do not allow for the existence of a universal set. For example, it is directly contradicted by the axioms such as the axiom of regularity and its existence would imply inconsistencies. The standard Zermelo–Fraenkel set theory is instead based on the cumulative hierarchy.