Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: how Date: Wed, 17 Apr 2024 02:02:19 -0400 Organization: Peripheral Visions Lines: 43 Message-ID: References: <44eaef1b-35be-4b50-900b-52b010ba9aa0@att.net> <_g9BcdiKQ1epFrcvM4FSF2rZkN8@jntp> <7FlE2ap2lYCEKbW6F4ekYb8aZ3s@jntp> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 17 Apr 2024 08:02:24 +0200 (CEST) Injection-Info: dont-email.me; posting-host="e6a7dc71a36f18424fa8fc4a317f9966"; logging-data="1529085"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+SOvhopSKI7E6idp+LNX1VNeiU3IWtM6o=" Cancel-Lock: sha1:BmCmFXMDBDQoeurw7CH4i59LRWo= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2615 Chris M. Thomasson used his keyboard to write : > On 4/16/2024 10:47 PM, FromTheRafters wrote: >> Richard Damon formulated the question : >>> On 4/16/24 10:59 AM, WM wrote: >>>> Le 16/04/2024 à 00:38, Richard Damon a écrit : >>>> >>>>> Name a Natural Number that can not be doubled!!! >>>>> >>>> All nameable numbers belong to a potentially infinite collection, a very >>>> small initial segment of ℕ. >>>>> >>>>>>> Thus, doubling ALL the Natural Numbers still gives you results that >>>>>>> are all Natural Numbers. >>>>>> >>>>>> Impossible, since all are doubled. >>>>> >>>>> POSSIBLE!!!! >>>>> >>>>> That is the "miracle" of INFINITY. >>>> >>>> No, it is the incongruence of thinking. >>>> For potential infinity it is true. But for actual infinity it is wrong. >>>> >>>> Regards, WM >>>> >>>> >>> Why? >>> >>> What number in the set of Natual Numbers doesn't have another Natural >>> Number that is twice it? >> >> Zero? > > Is zero a natural number? Sometimes. :) Is it too late to apply for poetic license? > Yikes! Well, how to denote 42 - 42 = 0 ;^) Subtraction is only a partial function in the positive and non-negative integers.