Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Tue, 22 Oct 2024 10:13:07 +0200 Organization: A noiseless patient Spider Lines: 27 Message-ID: References: <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <29ce40e9-f18a-44d4-84d9-23e587cf9dea@att.net> <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <30b58bd38b2264ae8ca180a544cc88ee34c6d8fa@i2pn2.org> <45df31bad2d3e517cb48ab1f0eb7ff6f80999bf3@i2pn2.org> <5e5ccee7-0c98-4701-aeaa-4950a3ce2938@att.net> <08a00c75-bf8d-4f9c-816a-83b8517ca04e@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 22 Oct 2024 10:13:07 +0200 (CEST) Injection-Info: dont-email.me; posting-host="bfb55e99e398d8df45af4712d555a215"; logging-data="1478340"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+Dn5D8kAZPPPA8mOIIEU3v1rx7zz62eUo=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:6jYyYE2fEWhVsTqT4Wh2/Z3lyYo= Content-Language: en-US In-Reply-To: <08a00c75-bf8d-4f9c-816a-83b8517ca04e@att.net> Bytes: 2739 On 21.10.2024 22:34, Jim Burns wrote: > On 10/21/2024 2:25 PM, WM wrote: >> On 21.10.2024 14:30, Jim Burns wrote: >>> On 10/21/2024 6:01 AM, WM wrote: > >>> How can you (WM) not.know what 'preimage' means? >> >> I have lectured analysis in German only. >> I assumed that preimage is the set mapped to the image. > > It's not an improvement that you allegedly think that > odd numbers are the result of doubling. I never did. Are your comprehension problems new? >>>> The range. A complete set of natural numbers. >>>> It is a complete set by assumption. >>>> All its numbers can be mapped, >>>> some of them not to the preimage. Not to the mapped set. Regards, WM