Virgil
Posts:
4,482
Registered:
1/6/11
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Re: Mathematics in brief
Posted:
Dec 9, 2012 4:24 PM
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In article
<82d0e031-a53c-4241-8e40-8cfdcda2ff04@j4g2000yqh.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 9 Dez., 09:49, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <3d8719ec-bdc5-4d42-92f4-059598a76...@8g2000yqp.googlegroups.com>,
> >
> > WM <mueck...@rz.fh-augsburg.de> wrote:
> > > On 9 Dez., 00:58, Virgil <vir...@ligriv.com> wrote:
> >
> > > > A mathematical set only has to distinguish between elements and
> > > > non-elements, never between one of its element and another.
> >
> > > A real number in mathematics has to be an individual that is distinct
> > > from every other real number.
> >
> > But no criterion for being in, or not in, the set of reals distinguishes
> > between any one real and any another real.
> >
> > So however relevant such differences may be for other purposes, as far
> > as any set containing them is concerned differences between members is
> > totally irrelevant.
> >
> > "Is x a member of y?" is a purely yes or no question.
>
> And you answer it without knowing what x is - and probably even
> without knowing what y is. And further you don't know what a set is.
One must know something about both x and y to determine whether x is a
member of y, but one not need to know everything about either of them.
>
> That's what I call matheology: Believing without knowing anything
> essentially.
What I call mathematics is knowing at least enough not to make a fool of
myself, which, in general, I do and WM does not in these discussions.
>
> Regards, WM
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