On 05 Dec 2007 22:12:04 -0600, Gabriel Dos Reis wrote:
> "Bill Page" <[EMAIL PROTECTED]> writes:
>
> | How do you measure blank? How do you define start? I know there are
> | algorithms (the ones I referred to as "serializations") that do this
> | by looking for markers (e.g. \n) and counting ' ' and/or \t, but I
> | think it is much easier to admit that when we see this on a page
> | or on the screen it is 2-dimensional. Unless I have a severe
> | problem with my vision (tunnel vision) I see this all at once as
> | simple two dimensional geometrical arrangement (a "curve" in
> | 2-d space):
>
> Unless it is pathological, a curve in a 2-d space is 1-dimensional.
>

Of course a curve is intrinsically 1-dimensional. Perhaps you think I
am confusing the curve with the space in which it is embedded? I admit
that the terminology I used above did not make such a careful
distinction. Otherwise I do not understand your point.

If you wish can treat the sequence of symbols:

  ( x ( x x ( x ( x ) ) x ) )

as encoding a kind of "curve" is some abstract differential geometry.
Then each '(' and ')' token has some associated unit "curvature" or
something like that. But I do not see any advantage to this point of
view.

Regards,
Bill Page.

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