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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary)
Date: Mon, 21 Oct 2024 07:10:54 -0400
Organization: Peripheral Visions
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References: <vb4rde$22fb4$2@solani.org> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <vejmkm$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$1@dont-email.me> <30b58bd38b2264ae8ca180a544cc88ee34c6d8fa@i2pn2.org> <vf33u8$eisc$1@dont-email.me> <c4edfd4625822f1af9a40daf028fbbd5aab4a225@i2pn2.org> <vf3mts$i1ai$1@dont-email.me> <45df31bad2d3e517cb48ab1f0eb7ff6f80999bf3@i2pn2.org> <vf526v$s8qs$2@dont-email.me> <vf56f2$svda$1@dont-email.me> <vf58pv$t8hc$2@dont-email.me>
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After serious thinking WM wrote :
> On 21.10.2024 11:21, FromTheRafters wrote:
>> WM brought next idea :
>
>>> If the range was complete, the image shows that the range was not 
>>> complete.
>> 
>> What's the preimage?
>
> The range. It is a complete set by assumption. All its numbers can be mapped, 
> some of them not to the preimage.

Fail!

You get even the simplest things wrong.