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. ------------------------------------------------------------------------- SF.Net email is sponsored by: The Future of Linux Business White Paper from Novell. From the desktop to the data center, Linux is going mainstream. Let it simplify your IT future. http://altfarm.mediaplex.com/ad/ck/8857-50307-18918-4 _______________________________________________ open-axiom-devel mailing list open-axiom-devel@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/open-axiom-devel