Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.mathDate : 14. Oct 2024, 23:22:50
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vek5jr$1c3q2$1@dont-email.me>
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On 10/14/2024 3:28 AM, WM wrote:
On 12.10.2024 22:47, Richard Damon wrote:
On 10/12/24 2:55 PM, WM wrote:
2n > n. That holds for all finite numbers. It halves the density.
And half of infinity is infinity.
The density of the natural umbers is 1 number per place, the density of the doubled numbers is 1/2 number per place.
{ 1, 2, 3, 4 ... }
{ 2, 4, 6, 8, ... }
Both are infinite. One is not larger than the other.