Musings about omnipotence and perfection.

[Ryft]

That to me is either the exact same thing or I've missed something.

With all due respect to you (and I do), it should be self-evident that they do not say the same thing. To say "God cannot actualize X" says something about God and nothing about X; it could be that X is capable of being actualized but God is limited by some inability. But that is at once both obfuscating and necessarily false, where X is a self-contradicting state of affairs, because it carries the implication that the law of non-contradiction is only contingently true, that self-contradictions are only impossible extrinsically, that there is no such thing as logically impossible, tossing logic out the window as meaningless. It implies that self-contradicting states of affairs are not necessarily (intrinsically) impossible; they are just contingently (extrinsically) impossible but actualizable given the right circumstances.

Thus it is more correct to say "X is incapable of actualization," which says something about X and nothing about God; it makes the crucial and substantive point that self-contradictions are impossible intrinsically, that there is such a thing as logically impossible, that the law of non-contradiction is necessarily true, affirming logic as meaningful. It implies that self-contradicting states of affairs are necessarily (intrinsically) impossible, never actualizable by definition regardless of circumstances.

If statement A says something about God and nothing about X, and statement B says something about X and nothing about God, then statement A and B do not say the exact same thing—especially when statement A implicitly denies the fundamental laws of logic and statement B explicitly upholds them.

I see no problem in saying, "I cannot produce that which is logically impossible."

The problem lies in the implication that you COULD if given the right circumstances.