In Proverbs 26 Solomon tells us that we are not to answer a fool according to his folly, or we’ll make fools of ourselves. On the other hand, Solomon continues, answer a fool according to his folly, or the fool will think he is wise in his own eyes (vv.4–5)—he’ll think he has uncovered some wisdom. We often find this sort of thing with questions that are raised in order to denigrate the notion of an eternal Being, an Intelligent Designer, or an uncaused first Cause.
He gives an example of such a question:
One of those questions is “Can God create a rock so heavy that he can’t move it?” That question is a classic straw man that has most Christians looking like the proverbial deer in the headlights. At best, the question challenges God’s omnipotence; at worst, it undermines His existence.
At the very outset, however, we should recognize a problem with the premise of the question. While it is true that God can do anything that is consistent with His nature, it’s absurd to suggest that He can do just anything. God can’t lie (Hebrews 6:18). God can’t be tempted (James 1:13). God can’t cease to exist (Psalm 102:25–27).
Hanegraaff brings up the point that often times when trying to prove a logical inconsistencies about God's existence people make logically inconsistent arguments.
Hank Hanegraaff - Questioning the Question