Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)

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Sujet : Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
De : richard (at) *nospam* damon-family.org (Richard Damon)
Groupes : sci.math
Date : 28. Oct 2024, 12:21:21
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <07a48e573ddbbbeb23bef2d219f745990aedef88@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
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On 10/28/24 6:32 AM, WM wrote:
On 27.10.2024 18:08, Moebius wrote:
Am 27.10.2024 um 17:12 schrieb WM:
Am 27.10.2024 um 14:54 schrieb Moebius:
>
Hint: For each and every x e IR, x <= 0: NUF(x) = 0
and for each and every x e IR, x > 0: NUF(x) = aleph_0.
>
That [...] would require that [for each and every x > 0] [there] exist [ℵo unit fractions] between 0 and x
>
Exactly!
>
This requirement is impossible to satisfy because every unit fraction is an x > 0.
 Regards, WM
Of course it isn't.
You just don't understand how infinity works. Things without ends just behave differently then things with finite ends,

Date Sujet#  Auteur
2 Sep 24 * How many different unit fractions are lessorequal than all unit fractions?2203WM
2 Sep 24 +* Re: How many different unit fractions are lessorequal than all unit fractions?2098Richard Damon
2 Sep 24 i`* Re: How many different unit fractions are lessorequal than all unit fractions?2097WM
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