Re: The set of necessary FISONs

On 04.03.2025 08:39, joes wrote:

Am Mon, 03 Mar 2025 22:56:46 +0100 schrieb WM:

On 03.03.2025 20:26, Jim Burns wrote:

On 3/3/2025 3:57 AM, WM wrote:

 

Zermelo's ℕ and Cantor's ℕ are the same up to isomorphism.

No. Zermelo uses induction which never goes beyond a finite number of
finite numbers.
Cantor claims a number of finite numbers which is larger than all
finite numbers.

No, he doesn't claim infinitely large naturals.

Cantor claims that the number of natural numbers is a quantity larger
than any finite number.
"Die Zahl ℵ₀ ist größer als jede endliche Zahl"