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Le 24/04/2024 à 21:42, Jim Burns a écrit :No worries, there's always room at the hotel.On 4/24/2024 12:57 PM, WM wrote:>Le 23/04/2024 à 21:55, Jim Burns a écrit :Doubling doesn't extend it to or beyond ωArithmetic of the familiar.>
Nevertheless it is wrong because
for every set {1, 2, 3, ..., n} doubling extends the set.
If all smaller numbers are doubled, then there is no place for the doubled numbers below ω.
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