Question

Is every set is a power set of itself.help me guys

Answer 1

Answer:

yes

Step-by-step explanation:

The axiom of power sets says that every set has a power set for any set (a) a there exists a set (b) such that the elements of (b) are precisely the subsets of (a). And the axiom of regularity tells us that for every non-empty set (a) contains some element (b) such that (a) and (b) are disjoint sets

Answer 2

Step-by-step explanation:

If you don't have a power set, you're not a set because every set has a power set by definition. The axiom of power sets says that every set has a power set for any set (a) a there exists a set (b) such that the elements of (b) are precisely the subsets of (a).

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