Re: Epistemology 201: The Science of Science
From: aeo6 (aeo6_at_cornell.edu)
Date: 03/21/05
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Date: Mon, 21 Mar 2005 14:57:25 -0500
robert j. kolker said:
>
>
> Lester Zick wrote:
>
> >
> >
> > The correct one, Bob,
>
> All the definitions I referenced are correct. They are correct in the
> contexts in which they are applied.
>
> Dullwits seem to think dimension meanss the maximal number of mutually
> orthagonal lines that can be constructed in a space. That is one
> definition of dimension, but not the only definition.
>
> Fractal sets have fractional Hausdorf Dimension, for example.
>
> Bob Kolker
>
I tend to think of a dimension most generally as simply an independent measure
of something. In space it could be an orthogonal direction along which
something is measured. For visualization purposes, other kinds of dimensions
can br translated into spatial dimensions, but they don't have to represent
space, or even anything physical. Truth is a dimension of a statement, a
measure of it, independent of its eloquence or verbosity.
-- Smiles, Tony
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