Asklemmy
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A similar one would be can God create a rock so heavy he can't lift it. The problem with these statements is that they're not logically sound. As this would be akin to saying, can god be god and not be god at the same time? Which is contradiction and syntactical jargon. A simpler example is like someone saying they have a squared circle.
Why is "can god kill god" a paradox? They either can or they can't (picking "they" because your particular god might not be a he). If they're all-powerful then the answer is yes, because they can do anything. I don't see how that's paradoxical.
can god kill god
It's not a paradox, the words are just incoherent. It's like asking whether God can taste the color blue. The answer isn't yes/no, there is no answer.
edit: a word