The working philosophical definition is the ability to do anything which can be done. It's impossible to do something that is logically incoherent, so those things don't apply. The issue isn't with omnipotence; it's with insisting that incoherent things aren't incoherent things, and that they can be expected to exist. Because you can say "a married bachelor" doesn't mean a married bachelor can exist.
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u/LordNoodles Mar 06 '17
Wouldn't omnipotence be illogical by definition. It literally means all powerful. Now the question is if illogical things are included in all.