From: Case (Case@iSpots.com)
Date: Sat Sep 17 2005 - 17:17:05 BST
Scott,
The Klein bottle is an example of a surface that really does not have a
front and back or an inside and outside. It is a more complicated version of
a Mobius strip which is a piece of paper with only one side.
How do the Laws of Form treat logical paradoxes. I thought it was kind of a
condensed version of the Principia Mathematica. Both were over my head.
Case
> Case,
>
> Yes, a Klein bottle is a much closer analogy. I note, though, that it is
> still only an analogy, in that the contradictory status only applies if we
> insist that all surfaces have a front and a back (or if closed, have an
> inside and an outside). Hence, in this case, as with logical paradoxes,
> one
> can expand one's conceptual space so that the case becomes understandable
> (e.g., with topology in the Klein bottle case -- see G. Spencer Brown's
> Laws
> of Form for a way to deal with logical paradoxes.) Whether there is an
> expansion that can encompass CI I don't know. It would, at the least, look
> mystical to us -- see the F. Merrell-Wolff quote for instance.
>
> - Scott
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