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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: wij <wyniijj5@gmail.com> Newsgroups: comp.theory Subject: Re: Cantor Diagonal Proof Date: Sun, 06 Apr 2025 15:49:58 +0800 Organization: A noiseless patient Spider Lines: 22 Message-ID: <0daa769e733b8800d52dd3e7385c74b173f91ffe.camel@gmail.com> References: <vsn1fu$1p67k$1@dont-email.me> <7EKdnTIUz9UkpXL6nZ2dnZfqn_ednZ2d@brightview.co.uk> <vsng73$27sdj$1@dont-email.me> <gGKdnZiYPJVC03L6nZ2dnZfqn_udnZ2d@brightview.co.uk> <vsnk2v$2fc5a$1@dont-email.me> <vsnmtg$2i4qp$3@dont-email.me> <vsno7m$2g4cd$3@dont-email.me> <vsnp0o$2ka6o$2@dont-email.me> <vsnpv4$2g4cd$6@dont-email.me> <vsntes$2osdn$1@dont-email.me> <vsntv3$2paf9$1@dont-email.me> <vso1a0$2sf7o$1@dont-email.me> <vso2ff$2tj1d$2@dont-email.me> <vso3rj$2vems$2@dont-email.me> <vso4gh$2vg3b$1@dont-email.me> <vsqmlb$1ktm5$6@dont-email.me> <vsqobq$1mglg$3@dont-email.me> <vst44k$8daf$1@dont-email.me> <vst6t0$aeqh$1@dont-email.me> <vst7qs$bmfg$3@dont-email.me> <45bb7521c3bb68fe5fd47d10ee93a03de17f8d47.camel@gmail.com> <vstaud$aeqh$5@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Content-Transfer-Encoding: quoted-printable Injection-Date: Sun, 06 Apr 2025 09:50:00 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ed44edb85b9ccc9a724188d6920c2cc1"; logging-data="516994"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Wz0/2o0Txi/SsucrTv/nV" User-Agent: Evolution 3.54.3 (3.54.3-1.fc41) Cancel-Lock: sha1:ZawSZR2q7KPIf07uqop5QLGsB3U= In-Reply-To: <vstaud$aeqh$5@dont-email.me> Bytes: 2267 On Sun, 2025-04-06 at 08:36 +0100, Richard Heathfield wrote: > On 06/04/2025 08:15, wij wrote: >=20 > <snip> >=20 > > Simply put, repeating decimals are irrational. >=20 > Simply put, an irrational number is one that can't be expressed=20 > as the ratio of two integers.=C2=A0 Prove it. (see the provided link first) > 0.3r can be expressed as 1/3.=C2=A0 Prove it. (see the provided link first) > Is=20 > it, then, your contention that 3 is not an integer, or that 1 is=20 > not an integer? >=20