O and U contradict each other, so one doesn't exist. Why not U? — BlueBanana
O has infinite knowledge, it's a part of its definition. — BlueBanana
What is a better question is, how does O know it's O — BlueBanana
Here I draw a distinction. We can have knowledge of infinity only as a concept, like we have. — TheMadFool
So how much does O know? It knows everything, and the amount of information is infinite — BlueBanana
Because you define it that way. — BlueBanana
U is possible because there's no contradiction in positing a U. — TheMadFool
There is if there's an omniscient being. So your argument begs the question. You have to assume that there isn't an omniscient being to claim that an unknown thing is possible. — Michael
it knows absolutely everything, even if that means an infinite number of things. — BlueBanana
U contradicts itself. — Chany
U can't be known but U can exist. My argument depends only on the possibility of U's existence. — TheMadFool
I haven't said U exists. My argument depends only on the possibility of U existing. — TheMadFool
And I'm saying that if an omniscient being exists then U isn't possible. So your claim that U is possible begs the question by assuming that an omniscient being doesn't exist. — Michael
But why? Why should U take precedence over O? — Chany
Because O is the assumption. U is a real possibility. — TheMadFool
How will O answer the question:
What is the largest natural number?
The expected answer is that O will say ''no such number exists''. For me this answer doesn't disprove omniscience because infinity isn't a number. It's just a concept that represents, not ignorance, but limits of omniscience. — TheMadFool
Either neither exists; or O exists and the possibility of U disproves it; or U exists and the possibility of O contradicts itself.
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