Path: news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Mon, 03 Mar 2025 18:06:54 -0500 Organization: Peripheral Visions Lines: 12 Message-ID: References: <558a879a-4130-476a-8b5d-d53cd371919b@att.net> <04dd7515-297c-4e7c-9e6a-a4f43e663552@att.net> <43c020cb-dc8b-4feb-be1d-2a76f02be14e@att.net> <19431656-fb42-4569-9334-b5b7e19c80c6@att.net> <4b45ff34-dc3f-4e32-90a3-237f78fbd321@att.net> <4ed4b6dc-de9b-46f7-b2f8-484557d89281@att.net> <7ac03d2e-5d72-4186-8b33-6fdddb7b83ff@att.net> <7ccdd4c7-d15e-417f-9b85-6f9a790d7d44@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 04 Mar 2025 00:06:58 +0100 (CET) Injection-Info: dont-email.me; posting-host="5cd05b03f0c6ed81a53885a1eb37c7cd"; logging-data="1610278"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/aznObS8JfiOzoxO2vuJlRLu2vzoM87hM=" Cancel-Lock: sha1:bjuBY2Hlft8IZZhKtcZv1O2DVJU= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb WM wrote on 3/3/2025 : > On 03.03.2025 20:26, Jim Burns wrote: >> On 3/3/2025 3:57 AM, WM wrote: >> Zermelo's ℕ and Cantor's ℕ are the same >> up to isomorphism. > > No. Zermelo uses induction which never goes beyond a finite number of finite > numbers. I told you this already. Zermelo's construction does not make "transfinite induction". Why did you argue and start talking about Cantor using it?