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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sat, 19 Oct 2024 22:48:52 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <3f1c0dd945e728b057008a12fa00683e0fe8e6e9@i2pn2.org> References: <vb4rde$22fb4$2@solani.org> <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> <verlk6$4dv$1@news.muc.de> <vermdv$2s24h$1@dont-email.me> <verv6f$2oo0$1@news.muc.de> <e4d00f83-42df-4f14-a007-4a90f3b5d644@tha.de> <vf085m$1gf6$1@news.muc.de> <vf0cpf$3t4q1$1@dont-email.me> <vf0feo$2un7$1@news.muc.de> <vf0ovc$3v3cv$1@dont-email.me> <vf0qev$2fe9$1@news.muc.de> <47ada01f-e2a7-42e7-bb63-390a73412938@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 20 Oct 2024 02:48:53 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2821875"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US In-Reply-To: <47ada01f-e2a7-42e7-bb63-390a73412938@tha.de> Bytes: 2482 Lines: 27 On 10/19/24 1:57 PM, WM wrote: > On 19.10.2024 19:32, Alan Mackenzie wrote: >> WM <wolfgang.mueckenheim@tha.de> wrote: > >>> When multiplying all natural numbers by 2, then the number of numbers >>> remains the same but the density is reduced and therefore the interval >>> is doubled. >> >> That's not mathematics. > > It is mathematics. > >> It's merely your intuition, derived from finite >> sets and misapplied to infinite sets. > > It is the basic mathematics of natural numbers: 2n > n. > If you believe in a different version of mathematics, try to find people > who are interested in that version. I am not. > >> In mathematics, there is no meaningful distinction between what you think >> of as two different forms of infinity. > > You have not the faintest idea of infinity. > > Regards, WM No., it seems that YOU do not have the faintest idea of infinity, since you think an infinte set has a last element.