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: Fri, 1 Nov 2024 12:42:07 +0100 Organization: A noiseless patient Spider Lines: 27 Message-ID: References: <351593f2-200c-4df5-a93f-9362b8b2bf91@att.net> <5b701e07-18aa-42ab-964b-0ca84e1776ca@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Fri, 01 Nov 2024 12:42:07 +0100 (CET) Injection-Info: dont-email.me; posting-host="295e755bf90583dca21b4a95e4b6bfe4"; logging-data="3367546"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/M5ys7KPu816dQ6/r0TW73GIZqeaEgwI0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bXHXLvFhaHo8MJ3hW9PjSvX4bdU= Content-Language: en-US In-Reply-To: Bytes: 2876 On 01.11.2024 11:59, FromTheRafters wrote: > WM used his keyboard to write : >> On 31.10.2024 22:53, FromTheRafters wrote: >>> WM pretended : >> >>>>> Our sets do not change. >>>> >>>> Then: >>>> Multiplication of all infinitely many fractions of the open interval >>>> (0, 1) results in some fractions in (1, 2). >>>> Multiplication of all infinitely many numbers of the open interval >>>> (0, ω) result in some numbers in (ω, ω*2). >>> >>> No, there are no finite numbers in the transfinites. >> >> Numbers like ω + 4 are in the infinite. But if all natural numbers are >> doubled, then numbers in the infinite are produced. > > What makes you think so? Simplest mathematics. Doubling increases the value. If all natnumbers are existing, then the greatest existing natnumber is existing too, then doubling it does not produce a natural number. Actual infinity is not about variable sets! Regards, WM