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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: 2N=E Date: Thu, 31 Oct 2024 21:27:00 +0100 Organization: A noiseless patient Spider Lines: 32 Message-ID: <vg0p6j$2ra8e$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vf66uf$128bg$1@dont-email.me> <9e98e573c0368690d336299ab78121c3240aa8e7@i2pn2.org> <vf8bqn$1gqlu$1@dont-email.me> <351593f2-200c-4df5-a93f-9362b8b2bf91@att.net> <vf8qk8$1jkh9$1@dont-email.me> <5b701e07-18aa-42ab-964b-0ca84e1776ca@att.net> <fb930b22-7f79-4a10-858d-a1a9faccc9b9@tha.de> <e2e906ae-48c5-453b-a38f-94c1ebc9ba6b@att.net> <vfgiqa$38oob$1@dont-email.me> <d781add9-cd6b-4fff-9601-111c74f4ae32@att.net> <vfgqa8$39o4h$1@dont-email.me> <a45b5e62-4b8c-4428-83ef-8b9bf62d6981@att.net> <vfj3e9$1e96h$1@solani.org> <40b398d1-40c5-45e9-8615-1cf437af0185@att.net> <vfoqi1$14lcd$6@dont-email.me> <3537899e-e951-4138-b56c-fc76340762b8@att.net> <vftj9t$26ql2$1@dont-email.me> <8b31df46-1361-4dd1-aed3-1f42039af960@att.net> <vfu2qi$29m4j$2@dont-email.me> <84c1bb5d-67db-4d21-918a-f86cd1f815c5@att.net> <vfvefj$9264$2@solani.org> <ca84d22c-3684-4744-a145-a941bac4651f@att.net> <vg0iba$2q8fo$1@dont-email.me> <c2087013-5e5c-4e01-b356-29ffa484bfc2@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 31 Oct 2024 21:27:00 +0100 (CET) Injection-Info: dont-email.me; posting-host="141caeb41400108587fad7eb5def8ecf"; logging-data="2992398"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/KZIcV6kMMjW+XCap92KNwOnn2QedSryk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:PtyTOLkJu9z7XGfHWYL0hNMnI/Q= In-Reply-To: <c2087013-5e5c-4e01-b356-29ffa484bfc2@att.net> Content-Language: en-US Bytes: 2796 On 31.10.2024 20:25, Jim Burns wrote: > On 10/31/2024 2:30 PM, WM wrote: >> On 31.10.2024 19:07, Jim Burns wrote: >>> On 10/31/2024 4:17 AM, WM wrote: >>>> On 31.10.2024 00:49, Jim Burns wrote: > >>>>> There is no n.sequence between 0 and ω >>>>> without a n+n.sequence between 0 and ω. >>>>> >>>>> 'Infinite' does not mean what you want it to mean. >>>> >>>> Then infinity means only >>> >>> 'Infinite' means 'not finite'. >> >> Potentially infinite means >> finite but variable without bound. > > Our sets do not change. Then: Multiplication of all infinitely many fractions of the open interval (0, 1) results in some fractions in (1, 2). Multiplication of all infinitely many numbers of the open interval (0, ω) result in some numbers in (ω, ω*2). Reducing the density increases the interval. Regards, WM