God paradox
The conclusion is that the statement "God can do anything" needs to be qualified.  By this logic God cannot do both of two things that are mutually contradictory. C. S. Lewis says that logical contradictions are not a "thing".  Rather they are nonsense.  The question (and therefore the perceived paradox) is meaningless. Nonsense does not suddenly acquire sense and meaning with the addition of the two words, "God can" before it.