Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 20. Oct 2024, 12:56:05
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <30b58bd38b2264ae8ca180a544cc88ee34c6d8fa@i2pn2.org>
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On 10/20/24 3:48 AM, WM wrote:
On 20.10.2024 00:54, Jim Burns wrote:
On 10/19/2024 2:19 PM, WM wrote:
A doubled finite is finite.
If all finites are doubled, then not all results can be in that set.
Either more finites appear, or the results are infinite.
>
No k exists such that
2⋅k is a finite and 2⋅k+2 > 2⋅k is not a finite.
All doubled numbers result in larger numbers. That cannot be avoided.
Regards, WM
But since there isn't a "largest" number, we can find that in the set.
It doesn't work for finite sets, but does for infinite sets, something that seems to blow your mind to smithereens.
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