A timeless being cannot create

[tackattack]

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Not true.   You have hardwiring that lumps all your perceptions of self into one completely artificial category called self.   In fact you are not all of that yourself which existed just a moment ago, and very little of what had been yourself when your were a toddler.    So you are not only not yourself always, your are never yourself from any other moment.

So you might say “but the artificial construct call self is what I a talking about”.    But that artificial construct is purely an artifact of your neurological wiring.   We have very good idea why we, evolved as we did from our evolutionary lineage, come to have such wiring.

Can you propose why your putative eternal god who presumably is subject to no evolution and no selective pressure, come to perceive his entire existence as one single self?

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You are always yourself, but that self is never in a constant state as we consistently interact with time. I see myself as the same self who was me when I was 6, as I see the self that I want to be when I'm 60, which is the same self as I am now. Characteristics, experiences and beliefs of that self may change over points in time, but the self is still uniquely me.
As for God, If you existed in all places at once, existence wasn't dependent on time, and know everything about everything from all of those times, you would have no need to evolve. You would also have no survival concerns to apply selective pressure. You would only have any pressure to change based on your interactions within time (or people subject to time) or by your will alone.

God might see himself as 3 Gods, 20 Gods, the foundation of everything in existence or a globular mass of sheer will. IDK. The Bible seems to represent my known experience with God and I use it to help define what I consider God and in it He states that whatever else there is there is none like Him, and he alone is the Alpha and Omega.

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It's not my definition, and I can't address every view of course. However, this is a standard attribute that God is given. That's what I'm addressing. I don't think being both eternal and personal makes more sense though.

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I find it unlikely that you had a face to face interaction with a Christian that used those words, but sure let's call it standard. A being who is eternal can be eternally changing or eternally stationary, or eternally grumpy and be eternal. The characteristic of eternal, simply means existing before and after time. Therefore, you WHEN you are does not necessitate WHAT you are. I could be an eternal asshole if I was able to