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?