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Path: ...!news.roellig-ltd.de!open-news-network.org!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: 2N=E Date: Sat, 26 Oct 2024 17:55:52 +0200 Message-ID: <vfj3e9$1e96h$1@solani.org> References: <vb4rde$22fb4$2@solani.org> <9c55eda1-bb24-44ae-9158-2a3b354170cd@att.net> <vf2ck9$amc3$1@dont-email.me> <4ce512c0-8196-4923-9a6b-359c25fdfa3a@att.net> <vf3ldc$hgts$2@dont-email.me> <8418a2e3-bba2-43b4-8c77-3e947a270476@att.net> <vf3n5v$i1ai$2@dont-email.me> <vf3r29$ipdp$1@dont-email.me> <vf52gf$sc1t$2@dont-email.me> <d854b742bc974c19b0106fa51222bbb640e2d92d@i2pn2.org> <b2090fd4-8329-4c3c-9698-a1e7697040b1@tha.de> <6c56b6df33cedd35cac468735501d2d89ad19048@i2pn2.org> <vf66uf$128bg$1@dont-email.me> <9e98e573c0368690d336299ab78121c3240aa8e7@i2pn2.org> <vf8bqn$1gqlu$1@dont-email.me> <351593f2-200c-4df5-a93f-9362b8b2bf91@att.net> <vf8qk8$1jkh9$1@dont-email.me> <5b701e07-18aa-42ab-964b-0ca84e1776ca@att.net> <fb930b22-7f79-4a10-858d-a1a9faccc9b9@tha.de> <e2e906ae-48c5-453b-a38f-94c1ebc9ba6b@att.net> <vfgiqa$38oob$1@dont-email.me> <d781add9-cd6b-4fff-9601-111c74f4ae32@att.net> <vfgqa8$39o4h$1@dont-email.me> <a45b5e62-4b8c-4428-83ef-8b9bf62d6981@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sat, 26 Oct 2024 15:55:53 -0000 (UTC) Injection-Info: solani.org; logging-data="1516753"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:3tw42B/lxUqKNVWmhRuwE1pOJFE= In-Reply-To: <a45b5e62-4b8c-4428-83ef-8b9bf62d6981@att.net> Content-Language: en-US X-User-ID: eJwFwQERADEIAzBL8LTdIYfB8C/hE4ZcfSAKXG6EJflMCU8FCv7GXuqrbSa2YupW+Zhf6lpPH2PGHv8w+AE3dxUe Bytes: 2531 Lines: 26 On 26.10.2024 01:18, Jim Burns wrote: > On 10/25/2024 3:07 PM, WM wrote: >> Relevant are only provable mathematical facts: > > Provable: > ⟦0,n⟧ ⊂ ⟦0,ω⦆ ⇔ ⟦0,n+n⟧ ⊂ ⟦0,ω⦆ True for all natnumbers you can conceive of. > >> When the density is halved the covered interval is doubled. > > Provable: > 2× : ℕ → 𝔼 : one.to.one > 𝔼 = 2×(ℕ) ⊂ ℕ Only for natnumbers you can conceive of. > >> Lossless exchanges do never lose the exchanged. > > Provable: > |𝔼| = |ℕ\𝔼| = |ℕ| Only for natnumbers which have almost all natnumbers as successors. > Regards, WM