Re: The set of necessary FISONs

On 22.02.2025 02:05, Richard Damon wrote:

Since that is the earlier work, and not the later refined work, maybe you should update your studies. (Note this creates Z, not N)

Zermelo's Z_0, the set of numbers is a subset of Z.

 Note, as I understand it, that initial Zermelo Set Theory didn't even HAVE "induction",

You don't understand it.

but its last axiom was the Axiom of Infinity that say that there exists in this domain the set Z that contains the null set as an element and is so constituted that to each of its element a, there corresponds a further element of the form {a}, in other words with each of its elements a, it also contains the corresponding set {a} as an element.

That is induction.

 Note, this is NOT the statement of induction.

You are wrong. Remember Peano's successors.
Regards, WM