Adam said:
I should remind you that omnipotence expicitly invokes and is in reference to one's ability, so the semantics are appropriate.
Perhaps you're stressing on the wrong point. Didn't I say that the semantics of omnipotence ought to refer to one's ABILITY
alone - whereas the semantics of the paradox is referring to one's INABILITY, which I hold to be incorrect.
Adam said:
When a "cannot" arises out of an omnipotent nature, it is widdershins to that very omnipotent nature, thus a paradox.
When the "cannot" arises
out of an omnipotent nature, perhaps it's paradoxical - but that's what I've shown does not happen in my previous post. The "cannot" arises
due to an omnipotent nature and hence is not paradoxical.
Adam said:
Is "all things" inclusive or exclusive of the possibility that all things are not possible.
"All things" cannot be exclusive. It defies the identity of "all things."
Why are you introducing dialetheism into a classical system of logic? It would obviously explode. The way to solve such issues in the classical system of logic is to show the invalidity of contradictory statements - which is what I've done in my previous post - hence the 'paradox' is shown to be invalid AND God is shown to be consistent to the very laws of Logic He's ordered about here. Isn't that better than introducing an informal system of logic(dialetheism) into a classical logic system instead of say, into a paraconsistent logic system?
So, under the classical logic system,
(A is B) is mutually exclusive to (A is not B)
hence, (All things are possible) is very much exclusive to (All things are not possible). "All things" here is limited to only "logical" things when operating under a logical framework - if you want to include "illogical" things too under "all things", then present a case for an "illogical" framework (and then we need not reason logically at all to uphold our case).
Adam said:
That, of course, is logically valid because if all things were possible then a thing could be itself and not itself at the same time....
This depends on what logic system you follow - the above is illogical under the classical system of logic, which I adhere to - and under which the 'omnipotent paradox' is posed.
Adam said:
The short answer is that there is no counter-argument to the omnipotence paradox that does not take on a case of special pleading, ie: "He's God. He doesn't have to work within the boundaries of logic or physics."
The counter-argument has been provided within the boundaries of formal logic in my previous post - the paradox has been shown to be invalid and God is consistent as a
reasonable(logical) God - in accordance to the logical expectations of the unbelieving skeptics. Your introduction of dialetheism into the formal logic system is what runs into unnecessary issues.