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 : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 14. Oct 2024, 17:29:22
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <67620ad3-5598-4fe3-8000-a846257dd9ee@tha.de>
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 28
User-Agent : Mozilla Thunderbird
On 14.10.2024 17:53, joes wrote:
Am Mon, 14 Oct 2024 15:34:59 +0200 schrieb WM:
On 14.10.2024 14:00, joes wrote:
Am Mon, 14 Oct 2024 12:35:56 +0200 schrieb WM:
>
False. n*2 > n for all numbers, even for infinite numbers.
Of course, and if the infinity is actual, they must already be in
there.
They cannot be there because doubling all elements of a set of naturals
doubles the space covered on the number line.
It does not. Changing the elements does not change their number.
Their number remains the same, namely |ℕ|, but they have only half the original density.
Regards, WM

Date Sujet#  Auteur
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