Logical questions that do not have answers?

Answer 1

I define that as any question that makes sense to ask, but admits of no realistic possibility of ever finding an answer.

Therefore, questions like, "How does Santa Claus get to every house in a night?" do not count, as it makes no sense to ask. Also, questions like, "What is the three trillionth digit of pi?" do not count, as such could be found if we really wanted to.

Probably the grandfather of all such "Logical questions that do not have answers" is this:

"Why is there existence, rather than non-existence?" More simply, "Why is there something, rather than nothing?"

Less dramatic are such questions as, "Which state was admitted into the Union first, North or South Dakota?" It makes sense to ask it, but as the official covered the papers with his hand, and died with the secret, we'll never actually know.