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 : 21. Oct 2024, 00:04:50
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <ea5dfe65e55b87e9bfcd8f4aa1f8110d68570ac9@i2pn2.org>
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Am Sat, 19 Oct 2024 10:23:05 +0200 schrieb WM:
On 18.10.2024 03:26, Richard Damon wrote:
On 10/17/24 2:46 PM, WM wrote:
 
When doubling natural numbers we obtain even numbers which have not
been doubled.
Then your "Actual Infinity" wasn't actually infinte.
As it must contain *ALL* the Natural Numbers to be that set.
Therefore the double numbers are not natural but infinite.
Then half of an infinite number is finite?

2n > n is always true, in finite and in infinite sets.
In FINITE or ORDINAL systems, and there 2n will be in the same actually
infinite set as n.
That is not possible if all natural numbers are doubled. The result
covers the interval (0, ω*2) twice as large as the original one (0, ω).
This destroys the ordering. If m>n, then 2m>2n.

In Infinte Cardinal spaces (like Aleph_0 is in) 2n == n
--
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
2 Sep 24 i +* Re: How many different unit fractions are lessorequal than all unit fractions?5Richard Damon
3 Sep 24 i i`* Re: How many different unit fractions are lessorequal than all unit fractions?4WM
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3 Sep 24 i `* Re: How many different unit fractions are lessorequal than all unit fractions?2091Jim Burns
3 Sep 24 i  `* Re: How many different unit fractions are lessorequal than all unit fractions?2090WM
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6 Sep 24 i     i   i`* Re: How many different unit fractions are lessorequal than all unit fractions?2074WM
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