Wednesday, June 10, 2020

The ‘Contra-Boolean’ Realization -- Part 07: ‘Seldonisms’ Series.










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 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 is different from linear x, 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 --


and






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.











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