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 : noreply (at) *nospam* example.org (joes)
Groupes : sci.math
Date : 22. Oct 2024, 10:39:01
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <811ea24d25ebba95409e19c94c08c0652739e149@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
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Tue, 22 Oct 2024 10:05:38 +0200 schrieb WM:
On 21.10.2024 21:38, Chris M. Thomasson wrote:
On 10/21/2024 2:59 AM, WM wrote:

No set of numbers can include larger numbers.
What do you mean? Define a "large" number, say a natural one?
No set of natural numbers can include *larger* numbers than it consists
of.
Namely, infinite numbers.

If the set is actually infinite, then all its numbers are there and
can be doubled. Because of 2n > n larger numbers are created.
Contradiction to above.

If they
are natural numbers they prove that the set originally was not complete
because it did not contain the larger numbers.
It did.

(In potential infinity this is not a problem because there is no
completeness demanded).
--
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.

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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3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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4 Sep 24 i    `* Re: How many different unit fractions are lessorequal than all unit fractions?2088WM
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6 Sep 24 i     i   i`* Re: How many different unit fractions are lessorequal than all unit fractions?2074WM
6 Sep 24 i     i   i +* Re: How many different unit fractions are lessorequal than all unit fractions?2065joes
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