# Re: Dimensions

Tony Benjamin Csoka (csoka@itsa.ucsf.edu)
Wed, 14 Jan 1998 13:32:52 -0800 (PST)

It is axiomatic that a mathematical point has no dimensions.

TBC

On 14 Jan
1998, Anders Sandberg wrote:

> CALYK <CALYK@aol.com> writes:
>
> > In a message dated 98-01-14 01:46:49 EST, you write:
> >
> > << danny:
> >
> > > Im wondering, do the 10 dimensions include the 0 dimension, making 11
> > >total? (0-point, 1-line, 2-plane, 3-d etc..)
> >
> > What???! >>
> >
> > what dont you understand?
> >
> > isnt it agreed that 0-point, 1-line, 2-plane, 3-d etc.. ?
>
> Each (metric) space has a certain dimensionality, an intrinsic
> property of how it hangs together. Simply speaking the number of
> dimensions of a space is the number of coordinates you need to
> uniquely determine the position of a point. On a line you just need
> one, in a plane you need two, in 3D you need three and in higher
> dimensional spaces you need more. Higher dimensional spaces can of
> course have lower dimensional spaces as a subset (like a line in the
> plane or a plane inside a 3D space).
>
> Note that "dimensions" often are misused to mean something completely
> different, especially in comic book physics where it seems to mean
> "alternate universe".
>
> There are infinitely many kinds of spaces of a given dimensionality
> (and most are not isomorphic to each other), the big question is which
> of them correspond to our universe.
>
>
> --
> -----------------------------------------------------------------------
> Anders Sandberg Towards Ascension!