Path: ...!news.roellig-ltd.de!open-news-network.org!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: 2N=E Date: Tue, 22 Oct 2024 15:03:29 -0700 Organization: A noiseless patient Spider Lines: 19 Message-ID: References: <2b6f9104-a927-49ee-9cf0-6ee3f82edc23@att.net> <22f95ff7-c361-4d8a-943c-1df76abb98cc@att.net> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> <6c56b6df33cedd35cac468735501d2d89ad19048@i2pn2.org> <9e98e573c0368690d336299ab78121c3240aa8e7@i2pn2.org> <6310990a57ee5388e4e3a2c280fde00fc1b142ae@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 23 Oct 2024 00:03:30 +0200 (CEST) Injection-Info: dont-email.me; posting-host="b12764190edfb444bfde4d24e34839f6"; logging-data="1765616"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19hkojuwLY34kdmj7yGjm3gItAE4XvMAGY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:loy2xt1/SgeOqrnBDlj5iaws3Kk= Content-Language: en-US In-Reply-To: Bytes: 2580 On 10/22/2024 1:27 PM, WM wrote: > On 22.10.2024 20:33, Moebius wrote: > >> Of course, this just "shows" that IN is ("actually") infinite. > > Fine. Just this set is accepted and all its elements are doubled. > >> Especially, since we consider the set of ALL natural numbers; and the >> natural numbers consist of ALL odd and ALL even natural numbers. > > We assume that this set exists and double its numbers. Not only natural > numbers can be created because all have been multiplied. Huh? 2 * any_natural_number = a_natural_number