Reasoning has produced laws of nature like the first law of thermodynamics, and also standards of discussion like using terms that have meaning. Within those standards, God (as creator of the universe) or God (as a meaningless term) are either impossible or nonsensical and thus self-refuting.
The ability to observe, learn and make decisions based on those observations.
Where do you propose this intelligence exists? Somewhere where we conveniently cannot detect any part of it, and where any nonsensical concept (i.e. 1 + 1 equaling 3) can also be equally likely to exist?
Imagine a two dimensional plane of existence containing beings. These beings are only capable of perceiving in left, right, forward, and backward; or north, south, east and west if you prefer. The universe, from their perception, is limited to that plane of existence.
But this being is still bound by a consistent set of properties. The God that exists in an alternate plane where no rules apply is not. But moving on...
Now imagine a three dimensional being who is outside that plane, observing it from above. He is intelligent by our normal conception of what constitutes "intelligence".
Just to interrupt here, he would not be intelligent by our normal conception in that circumstance. The two-dimensional version of the brain would have to function very differently from the three-dimensional one.
He can interact with that plane and is not subject to the laws of that plane.
If there were a moment of interaction with our plane that in anyway showed a violation of natural law, then you might have something here. But there has never been to any of our knowledge...which is why the natural laws exist...and it is these laws that in turn form the context for reasoning by which God (as extra-dimensional creator) is impossible. The laws are mutually exclusive with him. You must throw out the laws and reasoning in order to posit this god, which makes it impossible to the full extent of the word.
His intelligence exists entirely outside that plane even though he is capable of observing it. His existence is entirely outside that plane even though he can interact with it.
The two dimensional beings cannot perceive this three dimensional being because, from their perception, he exists outside their universe. They have no concept of "above" in which things may exist. They cannot perceive the structure containing his intelligence because it also exists outside their universe. The three dimensional being is constrained by the laws of his three dimensional universe, but not by the laws of the two dimensional universe. For example, he can make objects move from one point to another without passing any point in between in that plane simply by lifting them up and putting them down somewhere else. To the occupants of the plane this is impossible by everything they know.
The occupants of this plane would have an entirely different frame of reasoning. By nature of your example, they would have no natural law which precludes those things from happening. Thus that God would not be impossible.
The equivalent in our plane would be if energy continually randomly showed up and then disappeared. We would have no first law of thermodynamics and thus this God would be quite possible.
That does not imply that there can be no other types.
To say there are no other possible types that we know of does imply that there are no other types, to the full extent of our knowledge. But I wouldn't claim that that means there are no other types possible. The important point is, when you refer to consciousness, you're referring to consciousness as we've observed it. But then you change the properties of it (no brain, no electrical patterns, no observable effects), which is where the problem shows up.
What you're assigning to God is not actually consciousness, but a concept that has been invented so that it can be assigned to God with no proof necessary. It moves us down the nonsense path.
Not at all. It simply implies a structure of intelligence we are not capable of perceiving.
The problem is that you're making drastic changes to the concept of intelligence and consciousness. This is not brain based, it is not based on electrical activity. You are not claiming any material or observable characteristics at all. Let alone emotion, or reasoning, or a limited memory, or use a body as consciousness as we understand it does. I don't feel that we can refer to it as intelligence if it does not originate, function, or share any concrete characteristics with intelligence and consciousness as we currently understand...we just can't use that word and we're into a nonsense idea.
But we haven't agreed to that at all.
If the only situation where this God can exist is one where 1 + 1 = 3 can also be said to exist, then they are equal in likelihood and rationality. I feel that the extra-dimensional idea does not fit this for reasons given above.