Sujet : Re: Replacement of Cardinality (infinite middle)
De : ross.a.finlayson (at) *nospam* gmail.com (Ross Finlayson)
Groupes : sci.logic sci.mathDate : 09. Aug 2024, 01:26:10
Autres entêtes
Message-ID : <PbydnQO1H-qe_yj7nZ2dnZfqnPqdnZ2d@giganews.com>
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On 08/08/2024 03:30 AM, FromTheRafters wrote:
on 8/8/2024, WM supposed :
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.
>
Then stop assuming that there is a first and last element.
Of course, you can start with a first and last element,
then make infinitely-many in the middle.
0 ... ( ... infinitely-many ... ) ... infinity
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