In the article "Some Puzzles Concerning Omnipotence," by George Mavrodes, God's unlimited powers are contested. Specifically, God's omnipotence is challenged by a puzzle concocted by philosophers called the "paradox of the stone." The paradox follows that if God is omnipotent, than he can make a stone such that it is too large for him to lift. However, if he can make such a stone and does not have the power to lift it than God is not omnipotent. On the other end of this paradox we could say that God cannot make a stone that he cannot life because he is omnipotent. Again, if God were indeed omnipotent he would be able to make the stone even if it were too heavy for him to lift. Mavrodes states that this paradox is a poor argument for the omnipotence of God.
Mavrodes starts off by saying that the mere phrase "a stone too heavy for God to lift" is in itself contradictory.
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If we do not assume that God is omnipotent we can still give up a small amount of omnipotence (if this is indeed possible) and retain that God is omnipotent in lifting stone with the exception of the infinitely heavy stones that he makes.
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A decent article that could have been better with more elaboration and detail.
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