What does "all the same" mean in this sentence?
I'm reading this book and there's a sentence I understand the whole concept yet can't get the meaning of one part:
Pauli said, "One should no more rack one's brain about the problem of whether something one cannot know anything about exists all the same, than about the ancient question of how many angels are able to sit on the point of a needle."
What does "all the same" mean here?