Path: ...!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: Mon, 4 Nov 2024 12:15:35 +0100 Organization: A noiseless patient Spider Lines: 35 Message-ID: References: <40b398d1-40c5-45e9-8615-1cf437af0185@att.net> <3537899e-e951-4138-b56c-fc76340762b8@att.net> <8b31df46-1361-4dd1-aed3-1f42039af960@att.net> <84c1bb5d-67db-4d21-918a-f86cd1f815c5@att.net> <7bd1a8759214733a56722cbb6f8c23cb36a20255@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 04 Nov 2024 12:15:35 +0100 (CET) Injection-Info: dont-email.me; posting-host="10c225c131b9f83ecf8835aacca35945"; logging-data="950406"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/vGLbXglrB2aQwrrTdY94QIcvLQsrLLzs=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:9lXq3YfjMO6UXGvGqIImaId1LNs= Content-Language: en-US In-Reply-To: <7bd1a8759214733a56722cbb6f8c23cb36a20255@i2pn2.org> Bytes: 3282 On 03.11.2024 22:21, Richard Damon wrote: > On 11/3/24 12:00 PM, WM wrote: >> On 03.11.2024 16:55, joes wrote: >>> Am Sun, 03 Nov 2024 12:56:48 +0100 schrieb WM: >>>> On 03.11.2024 09:50, joes wrote: >>>>> pparently you do think that there is a natural n such that 2^n is >>>>> infinite. >>>> If all naturals are there, then no further one is available. But >>>> doubling all yields a greater number than all. >>>> In actual infinity there is no way to avoid this. >>> We don't need any further ones because we ALREADY HAVE ALL OF THEM, >>> even including the doubles. >> >> But you have not what is done to all of them afterwards. You must be >> clairvoyant if you knew in advance whether something is done at all. > The problem is that if you need to do them in "order" you can't complete > the infinite task. Cantor says that all are there and can be paired with all fractions, for instance. That is what I accept for a moment. > > That is the problem with your finite logic, that it can't actualy DO > things in actual infinity, I assume that it is possible. > We don't need to be clairvoyant to understand what WILL happen with a > deterministic operation. Either all numbers are there before - or not. These are the only alternatives. You must switch to and fro. Regards, WM