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Your intuition is correct. The hotel paradox is a trick of symbolic manipulation, and the analogy to a real hotel is an amusing deceptive misdirection.



  > Your intuition is correct.
No, the intuition is not correct.

  > The hotel paradox is a trick of symbolic manipulation,
  > and the analogy to a real hotel is an amusing deceptive
  > misdirection.
No, it's a visualization to help people understand about matchings between infinite sets. It's an accurate analogy.




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