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Re: fom - 01 - preface
Posted:
Dec 8, 2012 10:08 AM
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On 8 Dez., 10:02, Zuhair <zaljo...@gmail.com> wrote:
> On Dec 7, 9:45 am, fom <fomJ...@nyms.net> wrote:
>
>
>
>
>
> > Although it is not mentioned frequently
> > in the literature, Frege actually
> > retracted his logicism at the end of
> > his career. His actual statement,
> > however, is much stronger. He rejects
> > the historical trend of arithmetization
> > in mathematics as foundational.
>
> > In "Numbers and Arithmetic" he writes:
>
> > "The more I have thought the matter
> > over, the more convinced I have become
> > that arithmetic and geometry have
> > developed on the same basis -- a
> > geometrical one in fact -- so that
> > mathematics in its entirety is
> > really geometry"
>
> I agree with Frege. Geometry or more generally thought about structure
> is what mathematics is all about, number is basically nothing but a
> very trivial structure.
Then everybody should understand that the infinities in the numbers
forming the following triangle and the geometrical aspects have a
common origin:
1
11
111
...
Height and diagonal have lenght aleph_0. What about the basis?
Regards, WM
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