Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? (infinitary) Date: Sun, 20 Oct 2024 07:55:01 -0400 Organization: i2pn2 (i2pn.org) Message-ID: <004e3a988f123d67d6a096aecf0b396f9f22b7f6@i2pn2.org> References: <09d9f0df-b1bb-42a7-af9b-890bfbcfc581@att.net> <3f63bc22-83b2-4d56-9837-849551170c77@att.net> <50ac7044-f8c1-47d9-947f-9fa6044e1848@tha.de> <68b8be64-7fe8-47e7-a991-7adf14713af5@att.net> <53460f91-4542-4a92-bc4b-833c2ad61e52@att.net> <85cf251afab29f3d64d61a77dd728d0aebdaba96@i2pn2.org> <6160c5b40650b2f1d6e03c082a4b8b2eac83d2aa@i2pn2.org> <90c13688039427aa48db6bb3a57f70274aeebf84@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 20 Oct 2024 11:55:01 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2876149"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird In-Reply-To: X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US Bytes: 2529 Lines: 17 On 10/20/24 3:54 AM, WM wrote: > On 20.10.2024 04:48, Richard Damon wrote: > >> Which is what builds the actual infinite set. "Actual Infinity" is >> what you get when you conplete that construction process. > > If it is completed and then all numbers are doubled, what do you get then? > > Regards, WM > A set of exactly the same size using only some of the numbers of the original set. That is part of the property of the infinite. Something that seems to explode your mind because it can't handle the concept of something actually being infinite.