Re: Replacement of Cardinality

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