Re: An uncountable countable set

In article <1155918702.907256.270320@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

Virgil schrieb:

In article <1155886069.568472.204170@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

You are in error. You just proved it to be true. The set of natural
numbers (i.e., finite numbers n, i.e., numbers with finitely many
differences of 1 between 1 and n) does not yield infinitely many
differences of 1.

It does in ZF or NBG. What axiom system is "Mueckenh" assuming?

It does in ZFC and NBG? Numbers which yield only finitely many
differences of 1 between 1 and n yield infinitely many differences of
1.


"Mueckenh" ignores the important question to concentrate on trivialities.
There are infinitely many n \in N, and thus infinitely many differences,
Succ(n) - n, which equal 1.

What axiom system is "Mueckenh" assuming?

I repeat!

What axiom system is "Mueckenh" assuming?

Until we know that we might as well assume that everything "Mueckenh"
claims is one of his axioms.
In which case, "Mueckenh" has long since provided sufficient evidence
that his axiom system is inconsistent.
.