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"Such a library, though containing all information, would not contain any information about which books contain real information and which do not."

Actually, by definition, it would contain that information. But you have the same problem finding it.

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And it would also contain an infinite number of books which claim to list which books contain real information, but actually contain some titles that contain nonsense & lies and/or are missing some titles that contain real information. So the chance of you finding a fake information-listings book is far greater than you finding the real one.

So in other words, you have the same problem finding it?

Hmm, sorry. I thought you were referring to the book being difficult to find because it would be mixed in with an infinite number of other books, not specifically that there would be an infinite number of fake versions of that book.

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