Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!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: Fri, 7 Mar 2025 10:24:52 +0100 Organization: A noiseless patient Spider Lines: 19 Message-ID: References: <43c020cb-dc8b-4feb-be1d-2a76f02be14e@att.net> <19431656-fb42-4569-9334-b5b7e19c80c6@att.net> <4b45ff34-dc3f-4e32-90a3-237f78fbd321@att.net> <2e5bced50a3571e40311d75977f0880db77fe5a1@i2pn2.org> <630f69206a09e08bc68b59cc1f95aac5e8a0f84b@i2pn2.org> <88e790cc59217e199ea7419268fa49a598a0df8b@i2pn2.org> <3add6da446fdb6225940eb4c8a7faf710360925e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 07 Mar 2025 10:24:53 +0100 (CET) Injection-Info: dont-email.me; posting-host="5f8536ed88e69ce752d87a93d77d60c1"; logging-data="3649416"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+Bl7hkYBqnP1TO7ItPS0MIVTfiQOKLy3g=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:IF2NIG2UlpFh9T+sA3RbNB78Zmk= Content-Language: en-US In-Reply-To: Bytes: 2478 On 06.03.2025 21:23, joes wrote: > Am Thu, 06 Mar 2025 18:15:01 +0100 schrieb WM: >> Never a set of elements is constructed which is larger than every finite >> number. > Infinite sets are. Not inductive sets. > >>>> Induction is potentially infinite. >>> Proof.by.induction completes >> never! > If it didn't, it wouldn't work. It constructs and works for all potentially infinite sets. Regards, WM