Re: 2N=E

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Sujet : Re: 2N=E
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 26. Oct 2024, 16:55:52
Autres entêtes
Message-ID : <vfj3e9$1e96h$1@solani.org>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24
User-Agent : Mozilla Thunderbird
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

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