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Mechanics of Aesthetics's avatar

I have not thought about this for very long, so this could be a bit half baked, but here are some immediate intuitions I have.

I get uncomfortable with phrasings like "it is possible for some possible agent to bring about" if agent is taken to mean some subsystem of the universe subject to the laws of physics. As far as we know, the laws of physics are deterministic (modulo quantum randomness), so there is only one possible future quantum state, barring intervention into the laws of physics. But of course, god is presumably not subject to the laws of physics. God is fundamentally presumed not to be a subsystem of the universe. So I don't think we have to try to cook up a definition of omnipotence that covers both God and subsystems of the universe. In that case, could we not perhaps say that the omnipotence of God is the capability of God to change the laws of physics from one consistent set to another through a continuous process? Naively, this does not seem to run into paradoxes, unless the consistent laws of physics turn out to be unique, in which case omnipotence is trivial. If we think of a closed physical system as a universe, God could perhaps be conceptualized as the entity that decides what external sources gets turned on (in quantum field theory, an external source is equivalent to change in the laws). This also seems to avoid possible paradoxes involving concepts like 'immovable rock'. A continuous change in the consistent laws of physics might not allow such objects. Of course, I have to admit that "consistent" is doing a lot of heavy lifting here. The classical physicists definition of that would be something like "quantum mechanical, unitary" system. Should god be allowed to make time-evolution non-unitary? I don't know.

Of course, with the physicist's world view I have adopted here, I have more or less already ruled out free will, at least in the way I take that concept to be defined.

Thanks for an interesting post.

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Aleksy's avatar

The problem at hand seems to be the result of the existing notion of possibility as an indexical. Every being is omnipotent, because each one of them cannot fail to bring about any state of affairs that is possible. I propose the following solution: 1 ) X is omnipotent if and only if X is capable of brining about any state that could be ever brought about by any individual entity 2) X can bring about any combination of the states possible to realize by all the entities that could have ever existed.

There is no possible being that would be capable of creating a rock possible to handle for it and at the same time not possible to handle.

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