How many axioms do you have? Language has thousands of words in it, and logical inference will never result in a statement using words that were not in the axioms.
Notice that this doesn't prevent us from knowing thousands of true things and employing a vocabulary of thousands of words.
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I don't know what you mean by the "Zombie World argument." No thinks that the real world is a zombie world.
Okay, here's the Zombie World argument, paraphrased:
And now here's my argument, paraphrased:
If you accept the Zombie World argument, you have to accept my argument; the two are exactly analogous. Of course, the contrapositive of the above statement is also true: if you reject my argument, you must reject the Zombie World argument. In effect, my argument is a reductio ad absurdum of the Zombie World argument; it shows that given the right motivation, you can twist the Zombie World argument to include/exclude anything you want as conscious. Just say [insert-universe-here] is "conceivable" (whatever that means), and the rest of the logic plays out identically.
P. S. One last thing--this part of your comment here?
If the Zombie World exists (which I don't believe it does--but if it did), all of the people in that universe (who don't think their world is a zombie world) are dead wrong.