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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
fractions? (infinitary)
Date: Mon, 21 Oct 2024 10:14:07 +0200
Organization: A noiseless patient Spider
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Message-ID: <vf52gf$sc1t$2@dont-email.me>
References: <vb4rde$22fb4$2@solani.org>
<3f63bc22-83b2-4d56-9837-849551170c77@att.net>
<50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de>
<68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <vejmkm$e069$1@solani.org>
<eb21591a-a60a-4baf-bdbd-afef2a69c230@att.net> <vejte9$e3ds$1@solani.org>
<53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <ventec$255vi$2@dont-email.me>
<venunr$2533b$4@dont-email.me> <29ce40e9-f18a-44d4-84d9-23e587cf9dea@att.net>
<veor6u$2asus$1@dont-email.me> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net>
<verkkk$2r6kk$1@dont-email.me> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net>
<vevpsl$3pi3s$2@dont-email.me> <ed1862ff-3679-4175-bb25-c317be9713b2@att.net>
<vf0t7i$3v3cv$5@dont-email.me> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net>
<vf2ck9$amc3$1@dont-email.me> <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net>
<vf3ldc$hgts$2@dont-email.me> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net>
<vf3n5v$i1ai$2@dont-email.me> <vf3r29$ipdp$1@dont-email.me>
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On 20.10.2024 23:00, FromTheRafters wrote:
> WM formulated the question :
>>
>> Nevertheless 2n is not in the set {1, ..., n}.
>
> Neither is n+1, what's your point?
When doubling numbers, their distance increases in positive direction,
hence larger numbers are in the image than in the range.
If the range was complete, the image shows that the range was not complete.
Regards, WM