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Are the Pairing Axiom and the Union axiom in the Zermelo–Fraenkel set theory the same?

I have a book that states them as the following:

Pairing Axiom:For any sets u and v, there is a set having as members just u and v.

Union axiom:For any sets a and b there exists a set whose members are those belonging to either a or b.

Also in the book, they give these definitions in the form of a logic definition (I'd post but I can't find some of the symbols in any LaTex reference), the definitions are completely identical.

So are they different and if so what is the difference (and what would I be able to prove with one but not the other).

Thanks!

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# Really, really basic question in set theory

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