Part 01: Seldon’s Insights Series --
‘Total
NON-Closure: A Dialectical
Arithmetic of
Continual OPENing.
Dear Reader,
It is my pleasure, and my
honor, as an Officer of the Foundation
Encyclopedia
Dialectica [F.E.D.]
Office of Public Liaison, 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 first such release in this new series is entered
below [Some E.D. standard edits have been applied, in the version presented below, to the direct
transcript of our co-founder’s discourse].
ENJOY!
Regards,
Miguel Detonacciones,
Member, Foundation Encyclopedia
Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison, F.E.D.
Special Council for Public Liaison.
“... The generic dialectical arithmetic of the WQ «aufheben» operators does not exhibit “closure” in the sense
that is typical for other
arithmetics.”
“The WQ
‘arithmetic for dialectics’ is, instead, an arithmetic of continual ontological opening -- of the continual production of new
analytical-geometrical dimensions, mirroring the continual opening of new ‘‘‘dimensions’’’ of
being, of kind,
of ontology
that we
encounter in our
physical universe, as well as in our mental universe(s) of creative thought, in terms of the continual burgeoning of new human ‘ideo-ontology’,
e.g., in mathematics,
etc.”
“That is, the WQ
arithmetic is
designed to map,
‘‘‘algebraically’’’,
continuing ontological revolution -- the irruption of new
ontology, sometimes
accompanied by the extinction
of some extant older ontology; the oft self-accelerating
ontological self-expansion
of our «kosmos»: ‘ontological dynamicity’; ‘onto-dynamasis’.”
“Every
arithmetical operation involving WQ ‘meta-number’ «aufheben» operators leaps to beyond and outside of the set, and of the
analytical-geometrical space, WQ, of
these ‘meta-numbers’,
WQ = {
q0, q1, q2, q3, . . . },
viz. --
q1 + q2 is not in WQ
-- and --
q1+ q2 is not in WQ .”
“In general, for any j, k in W = {
0, 1, 2, 3, . . . }, thus for any qj, qk in WQ, excluding q0 --
qj +
qk is not in WQ
-- and --
qj + qk is not in WQ .”
“In WQ analytical-geometrical space, each of the elements of WQ is represented as an independent axis and dimension of that space, perpendicular to all of the other elements of WQ, and
with all extant axes intersecting in q0.”
“However, every
such dialectical-arithmetical
operation generates a diagonal,
or a ‘hyper-diagonal’,
relative to those axes.”
“Thus, every
such WQ-arithmetical operation transcends WQ-arithmetical space by way of ‘diagonal transcendence’. ...”
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