Ok...I'll have some more questions for you, if you're interested in hashing out a definition for god that I can agree doesn't defy logic. But I've got to get some sleep tonight.
The Greek word translated as Omnipotent here is pantokrator, meaning All-ruling or (as it is more frequently translated) Almighty. When we say God is Almighty, we are stating our belief in His authority and rulership over all creation, and the Bible is firm in declaring this fact. Even though Satan is now the god of this age (2 Corinthians 4:4), it belongs to him only because Almighty God has granted it to Him: And the devil said to Him, All this authority [over all the kingdoms of this world] I will give You, and their glory; for this has been delivered to me, and I give it to whomever I wish (Luke 4:6).
It is God who ultimately reigns in the universe, and all legitimate authority must derive from Him. If we let Scripture tell us of Gods authority, we must agree that He has all authority to do all His pleasure (Isaiah 46:1011), and to see to the fulfillment of His plans without fail. If we accept the Scriptural definition of almightyand we must accept no other!we can rightly call God omnipotent. Indeed, Christ says clearly that with God all things are possible (Matthew 19:26).
However, if we were to insist that omnipotent meant God could do anything and everything at all, we would need to reject that description, because His word says He cannot! For example, God cannot lie (Titus 1:2), and He cannot deny Himself (2 Timothy 2:13). The Bible clearly shows that God cannot act contrary to His nature. But do these cannots mean He is not omnipotentnot almighty? Not if we let Scripture define its own terms!
How is God Omnipotent, Omnipresent, and Omniscient?