Path: ...!news.roellig-ltd.de!news.mb-net.net!open-news-network.org!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: Mon, 21 Oct 2024 10:14:07 +0200 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <3f63bc22-83b2-4d56-9837-849551170c77@att.net> <50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <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> <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 21 Oct 2024 10:14:07 +0200 (CEST) Injection-Info: dont-email.me; posting-host="6306fbfd8156906a10daff6f1b0635dd"; logging-data="929853"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/GXj38Q7FNz2xY3z6eMg3klDN+68kvNyA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:SE/Fjtn1wiGYTY9z5Lnd8z6E/HI= In-Reply-To: Content-Language: en-US Bytes: 2442 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