Sujet : Re: Does the number of nines increase?
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 05. Jul 2024, 14:52:50
Autres entêtes
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Am 05.07.2024 um 06:44 schrieb Chris M. Thomasson:
> Does saying that the reals are infinitely denser than the naturals make any sense?
Hmmm... Not sure about that, wouldn't say it that way.
After all, aren't the rational numbers (in their usual order) "infinitely denser than the naturals" too? I'd say, yes!
But the rational numbers are countable, just like the natural numbers, while the real numbers are not.
> As in there are more reals than naturals even if they both are infinite.
Yeah, there are (in a certain sense) "more reals than naturals", but not "more rationals than naturals". 😛
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