I read somewhere that mathematical functions can be implemented as sets by making a set of ordered tuples <a,b> where a is a member of A and b is a member of B. That should create a function that goes from the domain A to the range B.(adsbygoogle = window.adsbygoogle || []).push({});

But set theory has functions too, could they be sets too?

For example the Power function would just be the set witht eh tuples <{},{{}}> and <{{}},{{}{{}}}> and so on. And the union and the pair function could be made into sets as well.

So what I want to ask is can all functions in set theory be defined as sets themselves?

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# Are set theory functions sets too?

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