Path: ...!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: The set of necessary FISONs Date: Mon, 3 Feb 2025 19:39:28 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <936ee906b144a8ead8a47b53426610836830f9e9@i2pn2.org> References: <6e0c8ab2-402a-43a5-a348-0c727eae6a2e@att.net> <87e2e677c7802c9c17df6063f340cb5857d5700b@i2pn2.org> <680d4249c9bf1504231a53732ac5096184261495@i2pn2.org> <5cc37d5ccc25d192843fcaf87e7418be0e9c5136@i2pn2.org> <080c854de10093669d87615694e51dd052ed2394@i2pn2.org> <80abaa335fdefb7dfd2cf4694a8bc1eba7f3eecd@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 4 Feb 2025 00:39:30 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2571638"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: Content-Language: en-US Bytes: 3087 Lines: 34 On 2/3/25 10:11 AM, WM wrote: > On 02.02.2025 21:11, Richard Damon wrote: > >> Since I don't recall you actually DEFINING what A(n) means, any >> assumption about it would be unwarranted. > > German A(n), or English F(n) is the FISON {1, 2, 3, ..., n}. > The assumption is that U(F(n)) = ℕ. Then why did you change your notation. You are just using the typical techiques of scammers and charlatons. And if U is supposed to be the Union, that statement is just incorrect, there is no SINGLE FISON (your F(n) ) that makes the set of the Natural Numbers. After all, the input to the union operator is a collection of sets, not just a single set which is what F(n) would be. What you need to do is take the union of a lot of set, in fact, and infinite number of them. So, U(F(n), F(n+1), F(n+2), ...) would be N, not just U(F(n)) > > By induction we prove that every F(n) can be removed without changing > the union. Therefore the assumption leads to { } = ℕ. Therefore the > assumption is wrong. No, you prove that ANY FISON can be removed, not that ALL can be. > > Regards, WM All you are doing is proving your math is just sloppy, and broken,