Sujet : Re: Replacement of Cardinality (infinite middle)
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.logic sci.mathDate : 10. Aug 2024, 23:32:19
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v98ppi$ue8i$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13
User-Agent : Mozilla Thunderbird
On 8/8/2024 5:26 PM, Ross Finlayson wrote:
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
Sure. Think of two points, and draw a line between them.
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