Robin said:
Just as I find it difficult to characterise a being incapable of creating an unbreakable object as omnipotent in the first place.
But are we really applying the same standard? I thought we might be nearing agreement that an unbreakable object is contradictory (whether you characterize the contradiction as arising from the inherent property of objects to move when sufficient force is applied, or from something similar).
Creating an unbreakable object makes equally little sense whether zero, one, or five omnipotent beings exist, leading me to conclude that the contradiction is contained within the concept itself. Notice how this is not true of
Pushing in a given direction, a concept that only leads to an "impossibility" when you are O1 and there's an O2 who wants to push in a different direction from the one you're considering.
At any rate, without this constituting an appeal to authority, the meaning of
omnipotence, at least as a term of art in philosophy of religion, appears by a preponderance of usage to exclude creating unliftable rocks, while including the power to push in any given direction, does it not? Perhaps your definition of the term is simply at cross-purposes with the prevailing one.
Robin said:
But notice how quick you are to conclude non-existence or non-omnipotence at the first sign of contradiction. If the same standard was applied to the single omnipotent being then all theology would come to a stand still.
Well, I'm inclined to say that in any logical examination, the first sign of genuine contradiction will rightfully cause an argument to be jettisoned. Wasn't that one of the revolutionary aspects of the Scholastic approach? And, broadly speaking, it seems to have resulted in great advances for rational inquiry into the philosophy of religion. It's
tolerance for logical contradiction that seems to lead such inquiries to a standstill.
Robin said:
Can you state your objection? It seems to me that each could move any rock in any direction just so long as the other did not object. In other words they can move the rock except when moving the rock would lead to an intrinsic impossibility.
Doesn't that place the effective ability to move the rock in the hands of a third party? Whereas, if "God" says "I shall create this and it shall never be destroyed", his inability to destroy it depends only on himself.
Robin said:
Just as God can say "this Kingdom shall never be destroyed" (it's in Daniel somewhere I think). God retains the potentia absoluta to destroy any kingdom at any time, but to do so would lead to the situation where God lied or was wrong, which are both intrinsic impossibilities. So when Kingdom comes God cannot destroy it, even in theory, even if he chose to do so. But he still retains the potentia absoluta to do so. I only claim the same playing field.
In this scenario, as you point out, God's omnipotence is preserved because he actually retains the
potentia absoluta to destroy the Kingdom, whatever it was. He also, of course, possesses the
potentia absoluta to foil any effort to destroy it. But take that same God and clone him. Now we have two Gods. Perhaps they agree on what is to be done. But does each of them still possess
both the absolute power to destroy the Kingdom
and the absolute power to foil any effort to destroy it? The logically and intuitively obvious answer is no. The power to destroy the Kingdom is not absolute as soon as another being exists who possesses the
potentia absoluta to oppose it. Those two powers can either be absolute, or they can coexist in different entities in the same universe. They cannot, by definition, simultaneously be absolute
and reside in two entities in the same universe. So if you multiply an omnipotent being, each individual in the resulting pair is necessarily less powerful than the original entity, or else they cannot exist at all.
Robin said:
Perfect concordance is inherent since anything else is inherently impossible. Even if O1 and O2 were in eternal conflict they could never outmanoevre another omnipotent being. Think of two reasonably smart kids playing nought and crosses (tic-tac-toe). After a short time they will understand every strategy and counter and it becomes pointless to continue playing. O1 and O2 are as evenly matched as the two players and having perfect understanding would realise the futility of trying to best the other before any conflict begins.
That seems like a rational thing to do, but the problem is that it is not logically required of any two beings. But just for the sake of argument, let's accept that it's intrinsically impossible for those beings to disagree, and see if it leads to any further problems.
A couple of potentially troubling things leap to mind right off the bat, athough I haven't thought too deeply about it. First, your argument as much as says that there is a special class of actions that are intrinsically impossible in a universe with both O1 and O2, but which would
not be problematic in a universe with only O1 to deal with. Yet it is usually admitted that something is intrinsically impossible only if there is
no conceivable universe in which it is possible. Overlooking that for now, I am led back to an observation I made a couple of paragraphs ago: assuming we agree that
potentia absoluta does not extend to intrinsically impossible things, O1 has greater
potentia absoluta (because fewer intrinsically impossible limitations) in a universe where he is the only omnipotent kid on the block, than in one where he shares omnipotence with another entity. The being with the greatest conceivable power exists in the first universe. Ergo, logically either one omnipotent being exists or else none do.
Robin said:
As I have just made up the idea I don't know. I am sure that this line of thought must have been tried previously, but I am not aware of it. It does not make any difference, appeal to authority is well known as a fallacy - it would not matter if nobody agreed on the possibility if the concept is internally consistent - which it is if put on the same playing field as the single omnipotent entity.
I'm not interested in anyone's authority
per se, I'm interested in finding if anyone in the field has done substantive work on that line of argument. Their conclusions could be illuminating for our discussion.