Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: 2N=E Date: Thu, 24 Oct 2024 16:24:20 +0200 Organization: A noiseless patient Spider Lines: 27 Message-ID: References: <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> <6c56b6df33cedd35cac468735501d2d89ad19048@i2pn2.org> <9e98e573c0368690d336299ab78121c3240aa8e7@i2pn2.org> <6310990a57ee5388e4e3a2c280fde00fc1b142ae@i2pn2.org> <3834533883e5a9dbc8546bf3eb425f762f2d0ab3@i2pn2.org> <6c929080fc639ef2e26217ccd2908b1face54361@i2pn2.org> <272433824a6757890727cb76203777dda01dcf1e@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 24 Oct 2024 16:24:21 +0200 (CEST) Injection-Info: dont-email.me; posting-host="0dd894fffc8f685f2cae0823449da2ef"; logging-data="2792083"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/IpGvYyk27aLIur4jZYB4Ea8k5jSuIjes=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Ui5fsUJP5i3mNeKjt99ki8DhkG0= Content-Language: en-US In-Reply-To: Bytes: 2941 On 24.10.2024 15:59, joes wrote: > Am Thu, 24 Oct 2024 15:49:48 +0200 schrieb WM: >> The possibility of always even greater ones in natural numbers proves >> potential infinity. > You have it backwards. Surely the "complete" set should not be missing > those greater numbers that the "potential" set includes. The potentially infinite set does not include them. Then they would be doubled too. > >> The greater ones have not been doubled because doubling of a complete >> set creates a set covering a greater interval than covered before. (Half >> the density implies twice the extension.) > They have also been doubled, along with their doubles. The powers of 2 and > their multiples form a subset of the naturals. The "size" of this set > is omega, and 2w=w, regardless of "reality". The complete set covers an interval. When its density is reduced its extension is increased. Regards, WM Regards, WM >