One usual, really bad, skeptical objection: “Can God make a rock that is so big that He cannot life it or move it?“
Basically if God can create a rock that he cannot lift, then God is not omnipotent. If God cannot create a rock so heavy that he cannot lift it, then God is not omnipotent. Omnipotence, according to the skeptic, means that there is “nothing” God cannot do. In fact the true definition of the word is: Having unlimited or universal power, authority, or force; all-powerful
Let me first note that the Bible does not once mention the world “omnipotent”, nor does it refer to God as omnipotent. This notion has been created by one of God’s Hebrew titles “Shadday”, which is most often translated “almighty.” Thus, what is the definition of almighty? It is: “Having absolute power; all-powerful”
Now we are starting to see a different picture here. Nowhere does the definition of “almighty” indicate that God can do everything, in other words do things that are “impossible” and “contrary” to his divine nature. The Bible never claims that God can do everything, in fact we are told that there are things that God cannot do: God cannot deny himself (2 Tim. 2:13), lie (Hebrews 6:18; Titus 1:2), or tempt anyone with evil (James 1:13). Therefore, biblical omnipotence does not mean that God can do all things. However, God can do anything that he determines, needs, or wants to do. This is a true meaning of omnipotence – the ability to do anything that one sets out to do. According to apologist Tyler Vela:
“First, is that it is asking for God to create a logical contradiction. That is, if God created a rock (a finite thing) the question demands that God create an infinite rock. This would make the rock a finite-infinite. This is what we call a logically nonsensical statement. We have pointed out others previously, like a square-circle, a married-bachelor, or a self-created universe (a non-existent existence). So the question demands the creation of a nonsense concept.
Thus, this question is sort of asking if God can create a square circle, or a triangle with two sides. His inability to contradict his divine character to do illogical tasks does not mean that he is not omnipotent. In other words the skeptics distorts, unknowingly or knowingly, the biblical definition of omnipotence (Shadday).