Tuesday, August 22, 2017

Part 01: Seldon’s Insights Series -- ‘Total NON-Closure: A Dialectical Arithmetic of Continual OPENing.










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 spaceWQ, 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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