Most have heard the idea that God cannot do what is logically impossible. It is a standard defense against many of the family of omnipotence paradoxes. God cannot do what is logically impossible; he can't make a married bachelor or 1 + 1 = three. But what if the idea of omnipotence itself is logically impossible? If the idea of omnipotence itself is logically impossible, then you either say the concept of God makes no sense, or that God isn't omnipotent.
P1. Omnipotence is unlimited power.
P2. Power is the ability to create change.
P3. Unlimited power means the ability to make any change without effort.
P4. All change requires an minimum effort of will.
C1. Points 3 & 4 contradict each other, meaning that the concept of omnipotence is logically self-contradictory.
Explanation:
1. Omnipotence is unlimited power:
This is a standard definition of omnipotence.
2. Power is the ability to create change:
Whether this is potential or actual, the ability to change things is inherent in the definition of omnipotence.
3. Unlimited power also means the ability to make a change without effort:
This is a little unintuitive to some, so let's explore the following scenario.
First Illustration:
Imagine there are multiple very powerful beings.
Being One uses 1 kilocalorie of effort to accomplish action A.
Being Two uses 1/2 kilocalorie of effort to accomplish action A.
So, the Being Two is more powerful than Being One. For any Being N, they become more powerful as they used 1/nth kilocalorie to accomplish action A.
Thus, it becomes obvious that for any being to claim omnipotence, they must reach the infinite minimum effort, which is zero.
4. All change requires a minimum effort of will:
For any change to happen, it must require at the minimum a desire to do so. If an omnipotent being did not desire such a change, it would not happen. This internal change within the omnipotent being is an effort.
Second Illustration:
Going back to the scenario of the multiple powerful beings, Being One might say "Through the mere effort of My will, I created this change!" Being Two simply says "You did only as I intended." Being Three says nothing, but is happy with the result. Whose will was done?
Who made the change happen? Who can claim the right to be declared omnipotent?
The one who willed the change was obviously the one who expended the most effort. But the one who controlled the other also expended some effort. By energy expended, the one who did nothing at all but got what they wanted demonstrated true omnipotence, for they did nothing but still achieved everything.
But what if Being Three hadn't liked the result? What would they have done? They could have expended an effort to control one of the other Beings, or made the effort to create the change themselves. But then Being Three would lose the claim to omnipotence, having expended the most effort. No matter what they did, the change requires an effort of will from someone.
Is omnipotence merely getting what you want, without effort? If so, there cannot be any changes. BUT ... omnipotence IS the ability to make changes. If you can't (not just won't, but can't) change anything, you cannot be called omnipotent by definition. Therefore the very definition of omnipotence is logically inconsistent.
Now, I can empathize with people who say "God is a mystery beyond our understanding." TBH that is probably the only valid approach to God and religion. But if you wish to claim that God is omnipotent, then you need to defend the idea that the definition of omnipotence makes logical sense.