Re: Two results of set geometry



David R Tribble wrote:
Tony Orlow wrote:
If each is the last plus 1, then the nth is n, and there cannot be n of
them without n being in the set. That's basic logic. No non-logical (ala
Ross) axioms required. It's pre-axiomatic, and therefore has precedence.

I see at least three axioms being used there. Do you?

Hint: What does "n plus 1" mean?


Hint: It doesn't matter, if the size and max of the set start out equal, and have "+1" simultaneously applied. x+1=x+1 by simple identity. Do it y times, and x+y=x+y. I don't need any axioms to note that the same string is on both sides of the equal sign.

Smiles,

Tony
.



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