Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 08. Jul 2024, 15:12:37
Autres entêtes
Organisation : Nemoweb
Message-ID : <Htn6iNToPibsCSS1ejKrUaODzHE@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 08/07/2024 à 04:52, Moebius a écrit :

(4) Es gilt also IN DER MENGENLEHRE für alle x e IR, x > 0: |{m e {1/n : n e IN} : m <= x}| = aleph_0.
 (5) Mit der Definition NUF(x) := |{m e {1/n : n e IN} : m <= x}| folgt also für alle x e IR, x > 0: NUF(x) = aleph_0.
ℵo unit fractions occupy at least ℵo different points on the positive real axis.
Hence NUF(x) = ℵo cannot be true for x less than ℵo points, that is for a set of ℵo positive x.
Only persons unable to comprehend this can carry on set theory. The results will be as stupid as these persons.
Regards, WM

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