Re: 2N=E

On 01.11.2024 11:59, FromTheRafters wrote:

WM used his keyboard to write :

On 31.10.2024 22:53, FromTheRafters wrote:

WM pretended :

>

Our sets do not change.

>
Then:
Multiplication of all infinitely many fractions of the open interval (0, 1) results in some fractions in (1, 2).
Multiplication of all infinitely many numbers of the open interval (0, ω) result in some numbers in (ω, ω*2).

>
No, there are no finite numbers in the transfinites.

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Numbers like ω + 4 are in the infinite. But if all natural numbers are doubled, then numbers in the infinite are produced.

 What makes you think so?

Simplest mathematics. Doubling increases the value. If all natnumbers are existing, then the greatest existing natnumber is existing too, then doubling it does not produce a natural number.
Actual infinity is not about variable sets!
Regards, WM