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Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes <noreply@example.org> Newsgroups: sci.math Subject: Re: Replacement of Cardinality Date: Thu, 22 Aug 2024 07:35:26 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <ee9a889a8143efb488bfc9018dc0c52c449bfe78@i2pn2.org> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <45ad1007-b1a7-49d0-a650-048f02738226@att.net> <ZrUpfgO3RQL0qsj_ugH_ng035iM@jntp> <e51a19c8-9f22-43ec-a382-b93019b4ce1d@att.net> <Aj67svgBqlC6ubyAZ01SM3EN5mc@jntp> <9ef8dd8a-69be-44e2-bcf6-ea9c1fb30e21@att.net> <LHtSphVaxvF9i9lsFtvEfbB4PS8@jntp> <92189533-0c1f-4532-816f-564651cc8bf7@att.net> <zzRMVwrDvZCAHeIta8vMnBBxp8E@jntp> <155cdc8a628d47be1632791227bccf99425b1d5e@i2pn2.org> <en_fjxuLKegQPxOwdC8lXsKVbbI@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 22 Aug 2024 07:35:26 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3438386"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2231 Lines: 19 Am Mon, 19 Aug 2024 11:32:44 +0000 schrieb WM: > Le 17/08/2024 à 16:29, Richard Damon a écrit : >> On 8/17/24 9:28 AM, WM wrote: >>> Le 16/08/2024 à 19:39, Jim Burns a écrit : >>> >>>> no element of ℕᵈᵉᶠ is its upper.end, because for each diminishable k >>>> diminishable k+1 disproves by counter.example that k is the upper.end >>>> of ℕᵈᵉᶠ >>> SBZ(x) starts with 0 at 0 and increases, but at no point x it >>> increases by more than 1 because of ∀n ∈ ℕ: 1/n - 1/(n+1) > 0. >>> Therefore there is a smallest unit fractions and vice versa a greatest >>> natnumber. What can't you understand? >> But there is no point (>0) where it has a finite value, > You can't see it and you are unable to derive it from mathematics. But > blindness is not an argument. Neither is darkness. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.