Sujet : Re: There is a first/smallest integer (in Mückenland)
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.mathDate : 18. Jul 2024, 03:15:18
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <d1dcd124f2f0194900fc641c7c54043ed9744144@i2pn2.org>
References : 1 2
User-Agent : Mozilla Thunderbird
On 7/17/24 10:43 AM, WM wrote:
Le 17/07/2024 à 13:37, Moebius a écrit :
WM> All unit fractions are separated. Therefore there is a first one
>
Moebius> All integers are separated. Therefore there is a first one [?]
>
WM> This is true but difficult to understand.
Can you explain how NUF(x) can increase from 0 to many more in one point x although all unit fractions are separated by finite distances of uncountably many x each?
Regards, WM
Because is isn't a properly defined function.
It has no finite value for any finite value of x > 0.
Thus, one need no figure how it gets from 0 to any other number, since it doesn't.