Sujet : Re: Replacement of Cardinality
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.logic sci.mathDate : 11. Aug 2024, 00:00:18
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v98re2$ul4c$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14
User-Agent : Mozilla Thunderbird
Am 11.08.2024 um 00:52 schrieb Chris M. Thomasson:
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, [...]
Again, 1/1 is the first term in the sequence (1/1, 1/2, 1/3, ...), but it's the largest/last unit fraction in respect to < (as defined on IR, and hence on the unit fractions).
... < 1/3 < 1/2 < 1/1.
In the other hand the first term of (1/1, 1/2, 1/3, ...) is 1/1, the second is 1/2, etc.
Actually, the most important lesson is taught here:
See: https://www.youtube.com/watch?v=VScSEXRwUqQ
Please study it closely!
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