Sujet : Re: 2N=E
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 04. Nov 2024, 18:22:51
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgavta$11df6$1@dont-email.me>
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 25 26
User-Agent : Mozilla Thunderbird
On 04.11.2024 13:22, Jim Burns wrote:
On 11/4/2024 6:19 AM, WM wrote:
On 03.11.2024 23:12, joes wrote:
Am Sun, 03 Nov 2024 18:00:18 +0100 schrieb WM:
You must be clairvoyant if you knew in advance
whether something is done at all.
>
I know I will get even numbers.
>
But you will get
larger even numbers than were multiplied.
No.
ℕ ⊇ 𝔼 := 2×ᵉᵃᶜʰ ℕ
Our sets do not change.
Please mark the sentence which you suspect to be wrong:
- All natural numbers exist.
- The even numbers have only half of the substance(*) of the integers.
- Multiplication of all elements of a set does not change the substance.
(*) For every interval (0, 2n] the number E of even natnumbers is half of the number N of natnumbers: E/N = 1/2. For (0, oo] we obtain the limit of the sequence 1/2, 1/2, 1/2, ... which is 1/2. This is the ratio of the substances or, as Cantor called it, the reality.
Regards, WM