Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

Topic: fom - 01 - preface
Replies: 35   Last Post: Dec 16, 2012 12:20 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 8,833
Registered: 1/6/11
Re: fom - 01 - preface
Posted: Dec 8, 2012 5:37 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<7a354fd9-0c0f-49f8-84b6-3f457d3b295b@10g2000yqk.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> 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?


Aleph_0 is not a length, nor an area, nor a volume.
--




Date Subject Author
12/7/12
Read fom - 01 - preface
fom
12/8/12
Read Re: fom - 01 - preface
Zaljohar@gmail.com
12/8/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: fom - 01 - preface
fom
12/8/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: fom - 01 - preface
Virgil
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: fom - 01 - preface
Virgil
12/8/12
Read Re: fom - 01 - preface
fom
12/8/12
Read Re: fom - 01 - preface
ross.finlayson@gmail.com
12/9/12
Read Re: fom - 01 - preface
fom
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: fom - 01 - preface
fom
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: fom - 01 - preface
fom
12/10/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: fom - 01 - preface
Virgil
12/10/12
Read Re: fom - 01 - preface
fom
12/10/12
Read Re: fom - 01 - preface
ross.finlayson@gmail.com
12/11/12
Read Re: fom - 01 - preface
fom
12/12/12
Read Re: fom - 01 - preface
ross.finlayson@gmail.com
12/12/12
Read Re: fom - 01 - preface
Virgil
12/16/12
Read Re: fom - 01 - preface
12/9/12
Read Re: fom - 01 - preface
ross.finlayson@gmail.com
12/9/12
Read Re: fom - 01 - preface
fom
12/9/12
Read Re: fom - 01 - preface
ross.finlayson@gmail.com
12/9/12
Read Re: fom - 01 - preface
12/10/12
Read Re: fom - 01 - preface
fom
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/8/12
Read Re: fom - 01 - preface
Virgil
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/9/12
Read Re: fom - 01 - preface
Virgil
12/9/12
Read Re: fom - 01 - preface
Zaljohar@gmail.com
12/9/12
Read Re: fom - 01 - preface
mueckenh@rz.fh-augsburg.de
12/10/12
Read Re: fom - 01 - preface
Dan Christensen
12/11/12
Read Re: fom - 01 - introduction
fom

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.