Can God create a rock so big he can't lift it, or not create the rock? either, not at same time

Can an Omnipotent God create a rock he cannot lift? it is said that If one answers yes to the question, then God is therefore not omnipotent because he cannot lift the rock, but if one answers no to the question, God is no longer omnipotent because he cannot create the rock. my position is that he can do one or the other, at different times, but he can't do both at the same time. and, that he can't do both at the same time doesn't disprove God as omnipotent. the question is basically another way of saying the following... "can the unlimited limit itself? if not, it is not unlimited. is so, it is not unlimited." does the fact that we can ask those questions show that the unlimited is possible only in theory, but when examined, is not actually possible? a mere human construct that has been shown to not hold up against scrutiny? not necessarily. it moreso shows the absurdity of the question. no matter how we approach it, the unlimited is then limited. calling the unlimited, limited, for the above stated reasons, is an absurd notion itself. the only way to approach it is to say, if the unlimited is truly unlimited, then it cannot limit itself. that would be illogical. we must say that the unlimited cannot limit itself. this is true at the abstract level, but has troubling consequences in application. cause what gives, can he make the rock or can't he? does the inability of the unlimited being unable to limit itself translate into "no God cannot create the rock ie limit himself, he who is unlimited?" or does it translate into 'no he can create the rock cause he is unlimited, but he can't lift it?" the solution lies in stepping back from the abstract, in the real world. for example, in the real world, a circle cannot at the same time be a square. if the inability for a square to at the same time be a circle shows that the unlimited is not possible, then yes, the unlimited does not exist. but in the real world, the unlimited can be said to exist, if it follows the laws of logic. this all translates into God by replacing "unlimited" with "God". the unlimited ultimately transaltes into God's abilities. so, God in the world of imagation where circles and be squares, God is in no way limited. but in the real world, God is limited by logic. perhaps it is better not to say that God is unlimited, but that God is reality, which includes logic. or at least to recognize that the unlimited can only be so in the real world where logic restricts what it really mean to be unlimited. so we've examined the unlimited when it comes to the square circle, what about back to the issue of God and the rock? to answer this, we need to ask another question. what happens when an immovable rock meets the unstoppable force of God? the issue-- the paradox arises because it rests on two premises"that there exist such things as immovable rocks and unstoppable forces"which cannot both be true at once. If there exists an unstoppable force, it follows logically that there cannot be any such thing as an immovable rock, and vice versa. so the key then is "at once". to ask if God can create both scenarios at once is a logical impossibility. God cannot do the logically impossible. if God creates the immovable rock, he cannot be an unstoppable force. and if God acts as the unstoppable force, he cannot create an immovable rock. he must choose which scenario exists at any given time. and, in fact, the fact that he would be able to choose the scenario, highlights the underlying omnipotence of God to begin with. so, as some have intuitively argued, God can create the rock, but then he can also choose to lift it. but he can't create both scenarios at once. that would be illogical. so.. yes, in some sense, God as the unlimited has been shown to not exist... he is restricted. but.... he's merely restricted from the world of imagination, due to logic. God cannot be illogical. so, ultimately... the notion of unlimited that follows logic hasn't been shown to not exist.... it and the following notion of God, has been shown to be possible..... as long as it's consistent, and logical.