Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.math
Date : 17. Jul 2024, 04:03:08
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <36af2635d51b8b4ef2705e9264a1da8fbaba4fc9@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 7/15/24 8:41 AM, WM wrote:
Le 14/07/2024 à 17:27, Moebius a écrit :
 
For each and every x e IR, x > 0: NUF(x) = aleph_0
 Wrong. All unit fractions are separated. Therefore there is a first one at y. NUF(y) = 1.
 Regards, WM
 
Nope. That means there is a highest natural number n = 1/y
but m = n+1 is also a natural number, so z = 1/m is a unit fraction smaller than y.
Your problem is you logic can't handle unbounded numbers.

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