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Hilbert's Paradox of the Grand Hotel
- Thread starter DarthSikle
- Start date
The Question
Eternal
Unless "infinite" can be demonstrated as a numerical value rather than a concept (which it cannot), then the concept as a mathematical value is equal to a flat sum.
That being the case, "infinite number of guests" and "infinite number of rooms" becomes "x number of guests" and "x number of rooms" where "x" is not relational but set, and "x" matches "x", therefore the number of guests and the number of rooms is matched.
More basically, one cannot propose a rule which breaks itself.
That being the case, "infinite number of guests" and "infinite number of rooms" becomes "x number of guests" and "x number of rooms" where "x" is not relational but set, and "x" matches "x", therefore the number of guests and the number of rooms is matched.
More basically, one cannot propose a rule which breaks itself.
