Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Wed, 09 Oct 2024 14:07:35 -0400 Organization: Peripheral Visions Lines: 22 Message-ID: References: <4bc3b086-247a-4547-89cc-1d47f502659d@tha.de> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 09 Oct 2024 20:07:41 +0200 (CEST) Injection-Info: dont-email.me; posting-host="c6790b2aa66d171e782ebb2f3fc9a6f8"; logging-data="2891603"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/8zzCKHMhc5mr5ZjXyO/Z20Y8Bf2xUQz8=" Cancel-Lock: sha1:ywV/41WU9KaDBVRZJhDUsRE69/U= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2231 WM presented the following explanation : > Am 09.10.2024 um 18:04 schrieb FromTheRafters: >> It happens that WM formulated : > >>> The essence is that only finitely many numbers have been lost and the rest >>> is remaining. > >>> >>>>> Now complete all sets by the natural numbers > 10 and complete the >>>>> sequence. >>>> >>>> You can't "complete" a set. >>> >>> You can add elements. >> >> No, you cannot! > > I can. We call it union. The cardinality of the union of two disjoint sets 'adds' their individual cardinalities together. This is also not adding elements to a set - - SETS DON'T CHANGE.