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, 27 Jan 2025 07:50:32 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <588f9bef1940a3b478e7a09d432ff891c30afa36@i2pn2.org> References: <903de8e1-3538-4cfe-9f7a-6509eda47ab6@att.net> <3844edd7-0750-4418-bff6-2759817446b3@att.net> <27377646-137a-4f8f-a7bb-a75707b2da96@att.net> <965ee9868f28953d437113d0d38f069815499a3f@i2pn2.org> <2f3fb91b5a9c930c3a43d1f51de2813df566ab6d@i2pn2.org> <82d149d0729cf982ded3ec719c4f83034b1c95f3@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 27 Jan 2025 12:50:32 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1389245"; 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: 2411 Lines: 25 On 1/27/25 6:13 AM, WM wrote: > On 26.01.2025 20:06, joes wrote: >> Am Sun, 26 Jan 2025 19:08:08 +0100 schrieb WM: > >>>>> But no actually infinite set is possible. >>>>> {1} >>>>> {2, 1} >>>>> {3, 2, 1} >>>>> ... >>>>> The length of the first column gives the cardinality. >>>> The length? You gave an infinite list. Every column is infinite. >>> No row is infinite. No column is longer than all rows. All rows and >>> columns belong to potentially infinite collections. >> All columns are infinite. > > No column is greater than all rows. All rows are finite. No column is > actually infinite, i.e., has length |ℕ|. > > Regards, WM > No, the columns end in ... which means they go on. every row ends in 1 }, so if of finite sizxe. THe fact that you logic can't handle that just shows your error.