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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: Replacement of Cardinality Date: Tue, 27 Aug 2024 23:18:46 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <ab5eeb643fb2e2aa398d9f73007a007f74346b38@i2pn2.org> References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp> <maptLlB5uFyelg509mbdgWw1yGc@jntp> <980a0ec7476c9dc5823e59b2969398bd39d9b91d@i2pn2.org> <va5c09$3vapv$1@dont-email.me> <h6Deptvp2nWZ7A-WxxE_8LCEIYY@jntp> <8d5b0145-b30d-44d2-b4ff-b01976f7ca66@att.net> <WtY45o_2xWeSk0s5VFpkO7OO7b0@jntp> <bd225e98-2fa5-49d5-806e-f25e2c8f24da@att.net> <MyfajwdXdoZZDQyGfKtmPKpt08o@jntp> <6cc86827-def3-4948-9e69-a3fea9e86c06@att.net> <DjlCrzShAlCRQKbykfy5r-LuUt4@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 28 Aug 2024 03:18:46 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="4162070"; 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: <DjlCrzShAlCRQKbykfy5r-LuUt4@jntp> Bytes: 1882 Lines: 20 On 8/27/24 3:26 PM, WM wrote: > Le 25/08/2024 à 23:18, Jim Burns a écrit : > >> Therefore, >> there is no ω-1, > > If the set of ordinal numbers is complete, then ω-1 precedes ω - by > definition. > >>>> Something between ℕᵈᵉᶠ and ω >>>> does not exist. >>> >>> So the blind man argues. > > Or actual infinity does not exist. But then there is no ω, and ℕ = ℕᵈᵉᶠ > is potentially infinite only. > > Regards, WM YOur inability to see them doesn't mean they don't exist, just visible in the ultra-WM spectrum.