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: Sun, 16 Feb 2025 04:15:56 -0500 Organization: Peripheral Visions Lines: 19 Message-ID: References: <0d24c3fd-cd63-4e21-9dd4-ab1360560b09@att.net> <79920977-902d-4f59-a11c-497383221c82@att.net> <468b9c37-ba93-485c-8685-4b320e168251@att.net> <68bab5c2-50d3-43fc-be0d-51e01c5952bb@att.net> <862117d5-9944-4eaa-9bbf-040e376c27e1@att.net> <61fda474-8104-4e37-a1cc-d9fec975bdc5@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 16 Feb 2025 10:16:01 +0100 (CET) Injection-Info: dont-email.me; posting-host="ddba7caae5f04a32cf792a0186aa6c00"; logging-data="565714"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+pbvIT5b4tOlVujbMmyrg3npsvYyi6c+g=" Cancel-Lock: sha1:3BrS2OzKhf78CoptffwgAe581t4= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Chris M. Thomasson wrote : > On 2/15/2025 8:26 AM, FromTheRafters wrote: >> WM was thinking very hard : >>> On 15.02.2025 14:13, FromTheRafters wrote: >>>> WM was thinking very hard : >>> Each FISON and all its predecessors are proven omissible by >>>>> induction. This implies that the whole set is omissible. >>>> >>>> Only if there were such a thing as a last FISON being omitted. >>> >>> You are clearly wrong! >> >> Says the person who also says that there are infinite FISONs. > > There can be an infinite number of FISON's... However, no FISON is infinite > in and of itself, or else, it would not be a FISON? Fair enough? Yes, but when someone says 'finite FISON' it implies thast there are some that are not finite. Same goes for 'infinite endsegment'.