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: Thu, 10 Oct 2024 20:12:56 +0200 Organization: A noiseless patient Spider Lines: 16 Message-ID: References: <4bc3b086-247a-4547-89cc-1d47f502659d@tha.de> <4dd0fdc7bacdf96058061fc0b48486eb57a613a2@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 10 Oct 2024 20:12:56 +0200 (CEST) Injection-Info: dont-email.me; posting-host="5a3097e3986a32338a92b2aee4985ff2"; logging-data="3430579"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+TvhtBxSBl8P7RCzIiOS8KKB+38nMyfNA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:HG9QDwP5SH5u30HlGO2kjZC/5Uw= In-Reply-To: <4dd0fdc7bacdf96058061fc0b48486eb57a613a2@i2pn2.org> Content-Language: en-US Bytes: 2182 On 09.10.2024 19:40, joes wrote: > Am Wed, 09 Oct 2024 17:39:36 +0200 schrieb WM: >> But those endsegments which have lost only finitely many numbers >> and yet contain infinitely many, have an infinite intersection. > Not what we are discussing. It is claimed that all endsegments are infinite, hence have lost only finitely many numbers as indices, but have an empty intersection. > So, for an infinite number of infinite sets infinitely many numbers > have been "lost", leaving nothing. True. Therefore not all endsegments are infinity. Regards, WM