Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Thu, 30 Jan 2025 09:30:44 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <680d4249c9bf1504231a53732ac5096184261495@i2pn2.org> References: <903de8e1-3538-4cfe-9f7a-6509eda47ab6@att.net> <3844edd7-0750-4418-bff6-2759817446b3@att.net> <27377646-137a-4f8f-a7bb-a75707b2da96@att.net> <4d349964-211f-42f1-936f-81c22ae54cb5@att.net> <6e0c8ab2-402a-43a5-a348-0c727eae6a2e@att.net> <87e2e677c7802c9c17df6063f340cb5857d5700b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 30 Jan 2025 14:30:44 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1870652"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: Bytes: 2656 Lines: 29 On 1/30/25 4:14 AM, WM wrote: > On 29.01.2025 13:46, Richard Damon wrote: > >> We can in fact build an infinite set of infinite sets of FISONs whose >> union is the set of Natural Numbers, > > > Do it. Build such a set. I will show that it fails because all FISONs > are useless for reaching the aim. > > Regards, WM > > I did. Of course, since it is an INFINITE set, it can not be listed with all members individually. The simplest set is the set of ALL FISONs. Your "logic" that tries to refute it fails, because it can't actually handle all. Note, my claim isn't a set of just neccessary FISONs, but a set of FISONs, that union to the Natural Numbers. Unless you want to claim that 36 can't be factored, because it has no "necessary" factors, you are stuck in a lie.