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A point of a paradox can also be to invalidate the assumptions made. I mean, mathematicians are getting away with way too much nonsense by using diffucult words
by rightbyte 5y ago
A point of a paradox can also be to invalidate the assumptions made. I mean, mathematicians are getting away with way too much nonsense by using diffucult words.
The hotel paradox is essentially equivalent to:
I can add a natural number to the set of all natural numbers which is not in the set allready.
- morelisp 5y agoNo, the paradox is that there are the same number of even natural numbers and natural numbers, yet the former is a strict subset of the latter.
- rightbyte 5y agoYe sorry I was refering to the hotel paradox. Edited.
- MereInterest 5y agoI think I would call that a contradiction rather than a paradox. A conclusion that is a contradiction means that one of your starting assumptions is incorrect. A conclusion that is a paradox means that your intuition about the problem was incorrect.