Question

what is meant by universal set ? Explain with a example​

Answer 1

universal set

A universal set is a set which contains all objects, even itself, and all other sets are subsets of the universal set when working within this framework. In many set theories (such as Zermelo-Fraenkel set theory and its extensions), a universal set is not allowed to exist in order to avoid encountering Russel’s Paradox.

Russel’s Paradox:

This essentially states that if we let R be the set of all sets that are not members of themselves, then if R is not an element of R, then Naive Set Theory dictates that R must be an element of R and vice versa. This result is obviously a paradoxical one.

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Answer 2

Step-by-step explanation:

This larger set is called the universal set, and is usually given the symbol E. In a Venn diagram, the universal set is generally drawn as a large rectangle, and then other sets are represented by circles within this rectangle. ... The region inside the circle represents the set A of odd whole numbers between 0 and 10.