Re: Replacement of Cardinality

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.

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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!