Path: ...!npeer.as286.net!npeer-ng0.as286.net!3.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Tom Bola Newsgroups: sci.math Subject: Re: how Date: Tue, 23 Apr 2024 23:27:57 +0200 Organization: A noiseless patient Spider Lines: 25 Message-ID: References: <5LBLnYAjUgXgTK4Y5LH6e8fCibw@jntp> <03cqX1wewd7499TOiNVrh-ShszA@jntp> <3AfbXk3CYztgzRI54emq6F40OJ8@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8" Content-Transfer-Encoding: 8bit Injection-Date: Tue, 23 Apr 2024 23:27:57 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8c06997dcf679fcd79b921c56dee5f62"; logging-data="1959629"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+5FpgR8iuFaGp6Gbqdd7MPp2K2G51mbjs=" User-Agent: 40tude_Dialog/2.0.15.1 Cancel-Lock: sha1:iYVQOOtNw050TJlQFwzsMYf3S9w= Bytes: 2064 Chris M. Thomasson schrieb: > On 4/23/2024 11:47 AM, Tom Bola wrote: >> WM schrieb: >> >>> Le 23/04/2024 à 00:58, Richard Damon a écrit : >>> >>>> Yes, there is sort of a gap below ω as you can only get to ω via a >>>> "hyper" step, not a normal step, like from 1 to 2. >>> >>> How many normal steps covers a hyper step? >> >> It's the same with dimensions - one cannot "cover" length with width. > > > A hyper step wrt the reals can be as simple as 0 + 1 because there is an > infinity between 0 and 1? Sure! But that case is about ordinal numbers... >>>> There are no Ordinals in that gap, >>> >>> What is in that gap? >> >> The same that is between each pair of n and n+1 in IN: nothing.