Re: 2N=E

On 10/26/2024 8:55 AM, WM wrote:

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.

Huh? So you think 42 does not exist (or somehow a shade of grey?) if somebody has not thought of it yet? You do realize that all the natural numbers means all of them, yet does not imply finite at all?
Study up.

Lossless exchanges do never lose the exchanged.

>
Provable:
|𝔼| = |ℕ\𝔼| = |ℕ|

 Only for natnumbers which have almost all natnumbers as successors.

Huh?
2 * a_natual_number = another_natural_number
:^)