Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: 2N=E Date: Mon, 28 Oct 2024 21:01:05 +0100 Organization: A noiseless patient Spider Lines: 22 Message-ID: References: <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> <6c56b6df33cedd35cac468735501d2d89ad19048@i2pn2.org> <9e98e573c0368690d336299ab78121c3240aa8e7@i2pn2.org> <351593f2-200c-4df5-a93f-9362b8b2bf91@att.net> <5b701e07-18aa-42ab-964b-0ca84e1776ca@att.net> <40b398d1-40c5-45e9-8615-1cf437af0185@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 28 Oct 2024 21:01:05 +0100 (CET) Injection-Info: dont-email.me; posting-host="028c8f7ef7e0642f2efab9c9f9b9b737"; logging-data="1201549"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19+7y0xpZ+qq19ptKxywfSGWnGSaTtgAqY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:RBoJwBaeIMUFYnuqnqPqaOGfkN4= Content-Language: en-US In-Reply-To: <40b398d1-40c5-45e9-8615-1cf437af0185@att.net> Bytes: 2606 On 28.10.2024 13:23, Jim Burns wrote: > On 10/26/2024 11:55 AM, WM wrote: >> On 26.10.2024 01:18, Jim Burns wrote: >>> On 10/25/2024 3:07 PM, WM wrote: > >>>> Relevant are only provable mathematical facts: >>> >>> Provable: >>> ⟦0,n⟧ ⊂ ⟦0,ω⦆  ⇔  ⟦0,n+n⟧ ⊂ ⟦0,ω⦆ >> >> True for all natnumbers you can conceive of. > > True for all finite ordinal which are finite ordinals. Relevant is only that the density in the interval is halved, the number remains, the interval is doubled. > Each finite ordinal has > almost all finite ordinals as successors. Wrong since they all are finite ordinals. Proven by unit fractions. Regards, WM