User:Bender2k14/Unusual Behavior at Infinity
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- Sum
- Riemann series theorem: If an infinite series is conditionally convergent, then its terms can be arranged in a permutation so that the series converges to any given value, or even diverges.
- Sets
- Hilbert's paradox of the Grand Hotel, where "Every Room Occupied" and "No Vacancy" do not mean the same thing.