Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: 2N=E Date: Wed, 6 Nov 2024 13:01:52 -0800 Organization: A noiseless patient Spider Lines: 24 Message-ID: References: <84c1bb5d-67db-4d21-918a-f86cd1f815c5@att.net> <1c8871dbcef7cfa4085c2947d52f9ce08412ceb3@i2pn2.org> <6a62e574a1cebf5585b49eb46176fb101c00a6ba@i2pn2.org> <1aec7e3cff3012e01a81f83676f102b402b96857@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 06 Nov 2024 22:01:52 +0100 (CET) Injection-Info: dont-email.me; posting-host="0e5c735c4a3ff88f84d8f3b06f75f96d"; logging-data="2399844"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/7yxbx5neXtQM6niud4d+NWJ0gmgxGd3c=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:o11zLX6FlZ1FaL53J2WfsbWpreE= In-Reply-To: Content-Language: en-US Bytes: 2913 On 11/6/2024 7:48 AM, WM wrote: > On 06.11.2024 14:21, joes wrote: >> Am Wed, 06 Nov 2024 11:41:47 +0100 schrieb WM: >>> On 05.11.2024 20:39, joes wrote: >>>> Am Mon, 04 Nov 2024 12:19:33 +0100 schrieb WM: >>> >>>>>>> You must be clairvoyant if you knew in advance whether something is >>>>>>> done at all. >>>>>> I know I will get even numbers. >>>>> But you will get larger even numbers than were multiplied. >>>> Not if you really multiply all numbers. >>> In every case. >> In every finite case. > > The infinite case is every finite case. What more could it be? Infinite > natural numbers? > >> If I start with 2 and keep doubling, I never leave N or reach omega. >> > If you start with the greatest natural number that you can start with, > you remain in ℕ. But if you double all, then you get transfinite > numbers: [0, ω]*2 = [0, ω*2] but not your ugly fantasy [0, ω] U {ω*2}. You are so wrong it's a bit scary... ;^o