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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The non-existence of "dark numbers"] Date: Mon, 24 Mar 2025 20:55:40 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vrsdbt$1gv1c$3@dont-email.me> References: <vqrbtd$1chb7$2@solani.org> <c81100d7-9354-4c8e-b216-e147cab9b41c@att.net> <vrhrlb$3ta8t$1@dont-email.me> <c0de7504-7d17-42f1-83e8-8767c0859c0c@att.net> <vrj5nh$12273$1@dont-email.me> <efbe60c5-6691-4fd6-8638-589fd95ec8a4@att.net> <vrkabi$233at$1@dont-email.me> <vrkca8$18dh$1@news.muc.de> <vrlt7r$3hfcp$3@dont-email.me> <vrmg0s$308h$1@news.muc.de> <vrmibq$5e2r$1@dont-email.me> <vrmj7b$5e2s$1@dont-email.me> <vrmkv7$308h$3@news.muc.de> <vrpn1k$3002f$2@dont-email.me> <vrpo23$po9$1@news.muc.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 24 Mar 2025 20:55:41 +0100 (CET) Injection-Info: dont-email.me; posting-host="80ae4cacdd488fe9a586c4006ed6de1b"; logging-data="1604652"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18jx8pWcrIleAkqi7/gBqWtXZ2m/AGGnwM=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:TWgnsZHdEp6LO23/iVzIiqIROHY= Content-Language: en-US In-Reply-To: <vrpo23$po9$1@news.muc.de> Bytes: 2067 On 23.03.2025 20:39, Alan Mackenzie wrote: > You did not, in your > voluminous post, cite any indication of a _use_ of "potentially > infinite", only some philosophising about it. Have you not read Hilbert and Cantor? In analysis potential infinity and only it is used. In fact all meaningful and correct applications of infinity in mathematics concern potential infinity, because actual infinity either is a chimera only or it is dark and therefore cannot be manipulated and applied in mathematics. Regards, WM