From: Gerhard Kessell-Haak (gerhard_kessell-haak@mail.tait.co.nz)
Date: Wed Jun 17 1998 - 22:12:28 MDT
Since you both seem to have ceased the argument without coming to a
conclusion, lets see what consequences there are if the assertion that:
XX) A = not(A) (as taken from Ians definition of Holism at
www.erols.com/igoddard/holistic.htm)
is true.
Define a set universe U = {A, B, C}
This implies that B is an element of not(A).
taking XX, this implies that B is an element of A.
Since A is an atomic entity within U, this actually means that
B = A.
That means that U = {A, C}.
One can continue on in the same fashion, until
U = { A } => U = A.
However, under this definition, not(A) = empty set.
Thus, using assertion XX, one can only come to the conclusion that U is
an empty set.
As we defined U = {A, B, C}, we can then conclude that {A, B, C} is an
empty set.
This is blatantly false.
So, assertion XX must be false.
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