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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Wed, 5 Feb 2025 18:32:31 +0100 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <6e0c8ab2-402a-43a5-a348-0c727eae6a2e@att.net> <87e2e677c7802c9c17df6063f340cb5857d5700b@i2pn2.org> <680d4249c9bf1504231a53732ac5096184261495@i2pn2.org> <12a38458-bfb9-4611-9072-eadbb166c0ec@att.net> <908c8431-3d44-496c-8f5c-e33cc9554956@att.net> <1ab7ff67-f1fb-4814-9d28-c883a4756097@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 05 Feb 2025 18:32:32 +0100 (CET) Injection-Info: dont-email.me; posting-host="c676bbdee3ed047372689e34aabbb2da"; logging-data="2606333"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/iaNqObzXHWrN5BYb5UWPsSdmUVku9BH0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:DvDx7t1P0l99qvH+oJUP38R8sC0= Content-Language: en-US In-Reply-To: <1ab7ff67-f1fb-4814-9d28-c883a4756097@att.net> Bytes: 2485 On 05.02.2025 18:19, Jim Burns wrote: > On 2/5/2025 4:14 AM, WM wrote: > Either way, the axioms do not create, > but only describe. The axioms of non-standard analysis or string theory create. But that is irrelevant for our topic. The axioms of Peano, Dedekind, Cantor, Zermelo, Schmidt, v. Neumann, Lorenzen concern all natural numbers with no exception by induction. By the same induction I can remove all FISONs from U(F(n)) without changing the claimed union. Regards, WM