Cardinality bigger than that of the reals

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I was wondering. Has anyone ever been able to build a beth-2 set? What does it look like? What could it possibly look like?
 
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The set of all mappings (functions) from the reals to the reals.
 
JamesOrland said:
I was wondering. Has anyone ever been able to build a beth-2 set? What does it look like? What could it possibly look like?

The power set is always of higher cardinality than the original set. Then you can take the power set of the power set, etc.
 

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