Sujet : Re: Replacement of Cardinality
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.logic sci.mathDate : 10. Aug 2024, 23:52:07
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v98qum$ue8e$1@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13
User-Agent : Mozilla Thunderbird
On 8/10/2024 3:47 PM, Moebius wrote:
Am 11.08.2024 um 00:40 schrieb Chris M. Thomasson:
On 8/10/2024 8:59 AM, WM wrote:
The set of unit fractions has two ends, namely at 1 and before 0.
>
They have no end
Nope. They have an end at 1/1.
Well, I needed to give more context. 1/1, in my mind makes me think of the first, or largest one so to speak. I think that the following is okay:
there is a largest unit fraction.
there is no smallest unit fraction.
there is a smallest natural number.
there is no largest natural number.
Hint: 1/1 is the largest/last unit fractions, Hence the (set of the) unit fractions has an end, namely 1/1.
Hope this helps. :-P
Yeah.
_______________________________
... 1/3 < 1/2 < 1/1 << this is the end.
See: https://www.youtube.com/watch?v=VScSEXRwUqQ