The ‘Contra-Boolean’ Realization -- Part 07: ‘Seldonisms’
Series.
Dear Reader,
It
is my pleasure,
and my honor, as an officer of the Foundation Encyclopedia
Dialectica [F.E.D.]
Office of Public Liaison, and
as a voting member of F.E.D.,
to share, with
you, from
time to time, as
they
are approved
for public release by
the F.E.D.
General Council, key
excerpts
from the internal writings, and from the internal sayings, of our co-founder,
Karl Seldon.
The seventh release in
this new such
series is posted below [Some E.D. standard edits have been applied, in the version presented below, by the editors of
the F.E.D. Special Council for the Encyclopedia, to the
direct transcript of our co-founder’s discourse].
In this 7th installment, Seldon describes the ‘contra-Boolean’ realization that resides at the root of his discovery
of a ‘mathematics for dialectics’.
Seldon --
“It is not
just that old things give rise to new things, in the sense of the
individual units of ‘existentiation’ [units that remain as being of the same kind as their progenitor things].”
“It is that old things give
rise to new kinds
of things, to new ontology -- and hence, to new
ontological categories in the minds of their human observers -- new ontology that arises out of the “internal ferment” of
old kinds of things.”
“Yes, x2 = x, if the solution set for x is limited, e.g., to the set {0B, 1B} -- to 0
and 1 in their, peculiar, Boolean forms.”
“Yes, in that case,
nonlinearity reduces
immediately and absolutely to linearity.”
“However, there is, implicit
in ‘Boolean arithmetic’, another arithmetic, with another, vastly-larger
solution set, whose elements we indicate with underscores.”
“That arithmetic is hidden in the standardly-unplumbed depths of the implicit meaning
of the ‘ordinality’ of Peanic and Boolean number.”
“For the ‘meta-number’ elements of that space
of arithmetic, x2 is qualitatively unequal to -- is ontologically different from -- x = x1.”
“Algebraically nonlinear x, x2, is different in kind from linear
x, x1, at root, in its ‘ordinal
quality’; in its ‘xth-ness’.
And, just as much as ‘Boolean arithmetic’
mimes and mathematically metaphorizes formal logic, we have found that
this other arithmetic of logic mimes and metaphorizes dialectical
logic.”
For more
information regarding these
Seldonian insights, please see --
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ -- see:
¡ENJOY!
Regards,
Miguel
Detonacciones,
Voting Member, Foundation Encyclopedia
Dialectica [F.E.D.],
Participant, F.E.D.
Special Council for Public Liaison,
Officer, F.E.D.
Office of Public Liaison.
