In article <firstname.lastname@example.org>, "Peter Webb" <webbfamily@DIESPAMDIEoptusnet.com.au> wrote:
> How do you falsify the existence of the set of all Natural numbers in ZF ? > ZF includes an axiom of infinity, which pretty much directly guarantees that > there is an infinite set of all finite ordinals. Assuming ZF is consistent, > this is also known to be independent of the other ZF axioms. So unless you > are arguing that ZF is inconsistent, I think you are going to have a lot of > problems showing that there cannot be a set of all natural numbers.
WM keeps claiming that any system which allows a set of ALL natural number to exist is necessarily inconsistent, though he has not produced anything that qualifies as mathematically or logically valid proof.
WM must have skipped plane geometry as a child, and ever since, as he has no notion of what constitutes a mathematically valid or logically valid proof, but argues more like a politician.