I think this post is right on. I think we are IN this universe with a brain to match it, with 3-d, separation of time and space appropriate to non-relativistic speeds, and so on strongly coded in.
In terms of any powerful god, she either "lives" in a much larger universe than ours, which kicks the can down the road (is there an omnipotent god who created that universe?) or she essentially comprises the entire universe. What other way to have an entity which "knows" how every particle moves at every instant other than having that entity be the universe? The most powerful, most accurate "simulation" of any system is the system itself. Obviously, the system itself can't get a wrong answer from a bad approximation somewhere, every other simulation can. I'm talking of simulations because omniscience presumably means the model god carries in her mind is complete and completely accurate. The model in god's mind is as big and complex and at least as fast as the system itself.
But be that as it may, the only way you can play the linguistic trick of saying square circles are not real so god can still be omnipotent without being able to make them, you have, it seems to me, created a higher level physics which constrains all the universes that might be created. But where can the higher level physics come from? Is it just there, in which case our god is not the creator of the UNIVERSE universe, just of a very constrained universe that follows a bunch of atheistically determined rules. The can is kicked down the road.
So if you are interested in a god-the-creator which has had no cans kicked down the road, I don't see how you can rule out ANYTHING. Things we can't concieve of are not ruled out, certainly things we can sorta concieve of like square circles and married bachelors can't be ruled out.
How could this god create a square circle? Of course, I don't know. But I'd imagine that when you saw the square circle you would know it, even if you couldn't reconcile it with everything else you see and know about circles and squares. Indeed a square circle is trivial enough, god merely has to trigger your brain beyond the traditional sensory pathways limitation.
[This is a draft intended to be developed into a top-level post - it wouldn't feel wrong to make it such right now, but it wouldn't quite feel right. I am not entirely sure how to end it or if I could generalize better at the end. I kind of like the ending I have, but I'm not sure if the point overall is coherent enough. Thoughts/suggestions/criticism would all be appreciated. ETA: The problem here may be that this is actually a follow up (or a footnote) to another article I've been thinking of about Weasel Words and the art of misleading through langauge; related to my earlier post on Not Technically Lying]
When I was a teenager, I remember hearing a couple of riddles that I thought were neat:
"Could God draw a square circle?"
"Could God create a stone so large that even He could not lift it?"
Let me just disclaim that this post has pretty nothing to do with religion. I just think that these are great examples that many people may be familiar with. That said, consider: do either of these problems pose a threat to the existence of an omnipotent God?
The answer, as will be clear on a full exposition, is a resounding "No." These are terrible, awful, misleading arguments, and the second one illustrates a relatively common trick used to sneak past an audience's intellectual defenses.
These riddles both fail to provide relevant counterexamples for the exact same reason, even though the second may seem to make more sense. The first is simpler: a square circle is not a thing. In a practical sense, we can put the words next to each other, but there is simply no way to translate the sound "square circle" into some kind of expectation or thing in the real world, in the same way one could translate, "red barn" or "white unicorn" into an expected observation. It is impossible for anything to be both square and circular, so the fact that God cannot do something that cannot be done does not limit His omnipotence. By the same token, God could not create a married bachelor (using the strict definitions of the terms), as a bachelor is an unmarried man. The inability to violate the law of non-contradiction does not appear to be a legitimate refutation of omnipotence. If we taboo, "square circle," there isn't really a meaningful way of describing the thing you are insisting God be able to draw.
"A stone so large that God cannot lift it," is exactly the same thing as a square circle. It sounds like a problem, since it's showing that God can't create a big enough stone. But an omnipotent being could presumably lift an object of any arbitrary size. Therefore, no stone could ever meet these criteria. If we taboo "so large that God cannot lift it," there is no actual weight you could describe such a stone as having. Presumably, God could lift a stone that weighted 3^^^3 tons, or even 3^^^^^^3 tons. You've created a hollow adjective: a descriptor whose actual meaning makes an argument self-evidently bad, but which is appealing if you don't actually think about it. It's not Not Technically Lying, because it isn't untrue, it's meaningless, which makes it harder to detect (though less common).
This is an extreme example. Usually, hollowness allows a speaker to be vague enough that they sound like they have a point when a clear definition of their terms would disprove this. Offenses in common language are usually a bit less egregious. "The president hasn't done enough to fix the economy," comes to mind as an example. What exactly, should he have done? There has probably never been a president in history whom people would generally agree has done "enough to fix the economy;" indeed, most economists would question the power of the president to seriously influence such things. "Hasn't the president failed to end the recession?" may be technically true, but it isn't really useful to call someone a failure for not doing something they lack the power to do. This example is merely illustrative; it is often easy to create descriptors that make your conclusion apparently foregone, despite their actual lack of substance.
Using such slanted terms is among the darker of the Dark Arts. It plays on its audience not by appealing to the irrational vagaries of the human mind; such efforts are, at least, often transparent. Rather, it masquerades as a rational argument, requiring complex nuance to refute. For those who are not disposed to disagree, it can escape the defense mechanisms of even a cautious mind. Understanding this concept can make it far easier to pinpoint the error in some beguiling arguments.