Sujet : Re: Replacement of Cardinality
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.logic sci.mathDate : 08. Aug 2024, 09:05:12
Autres entêtes
Organisation : Nemoweb
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Le 08/08/2024 à 00:17, Moebius a écrit :
Actually, his "thinking process" is simple:
"Since there is a gap (space) between adjacent unit fractions and all unit fractions are in the interval (0, 1], there must be FINITELY MANY of them (i.e. a first/smallest one)."
No, that is nonsense. There are not finitely many unit fractions. The argument is this:
NUF(0) = 0. Never more than one unit fraction can be added simultaneously to NUF(x).
==> Exists x with x = INVNUF(1).
Regards, WM
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