In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 11 Jun., 22:31, Virgil <virg...@nowhere.com> wrote: > > In article > > <1348b29b-3f39-40a7-be0e-5bd24a4e3...@s21g2000vbb.googlegroups.com>, > > > > WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > I need no axioms. > > > > Then there is absolutely nothing that you take to be true? > > > > There are absolutely no truths from which you can deduce other things? > > There are truths, like 1 + 1 = 2, or, for linear sets, ExAy <==> AyEx, > but they cannot be chosen by free will.
Then they cannot be chosen at all. > > Incorrect are such lies as the axiom of infinity or the axiom of > choice.
Incorrect is WM. > > > > That makes for a very simple mathematics in which nothing need be true. > > > > Consider axioms like in the American Declaration of Independence: > > > > "We hold these truths to be self evident..." > > > > Unless WM can list the things he "holds to be self evident", he does not > > have anything to build on. > > There is no necessity to list them in mathematics. Every sober mind > knows them.
There is every need to list them as without such a list, there can be no agreement on what they are.
Not everything that seems "self evident" to one person is necessarily so to all, as the warlike history of mankind evidences.
I find that WM's claims of self-evidentness to be quite false, as do many, if not all, of those who still bother to read his tirades.