Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 30.12.2024 21:28, joes wrote:

Am Mon, 30 Dec 2024 09:40:11 +0100 schrieb WM:

FISONs do not grow by unioning them. All FISONs and their unions stay
below 1 % of ℕ.

Even better, they are finite (but they do grow).

They do grow but will never surpass 1 % of ℕ.

 

Proof: Every FISON that is multiplied by 100 remains a FISON that can be
multiplied by 100 without changing this property.

Do you mean the set of numbers less than 100n? I thought you didn’t
believe in the closure of N under multiplication.

The collection of natural numbers is closed under multiplication.In fact it will ever reach let alone surpass any definable fraction of ℕ.
Regards, WM