Sujet : Re: Replacement of Cardinality
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.logic sci.mathDate : 08. Aug 2024, 21:36:29
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v93a8c$7o8h$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12
User-Agent : Mozilla Thunderbird
On 8/8/2024 3:30 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.
The first unit fraction is 1/1, there is no last one...