The
WQ System’s
“Sweet
Spot”
Trifecta.
GLOBAL STRATEGIC
HYPOTHESES.
Dear Reader,
The Seldonian WQ
arithmetic /algebra occupies
a, little-known, triple “sweet spot” in the conceptual, psychohistorical
terrain of modern mathematics –
1. It is a “non-standard
model” of, e.g., the first-order predicate logic axioms of the Peano-Dedekind “Natural
Numbers” system of arithmetic, as predicted, implicitly, by the
co-applicability thereto of the Gödel Theorems – specifically, of the Gödel
Completeness Theorem and the, metamathematical*, Gödel Incompleteness Theorem – at the level of
first-order mathematical logic, for which both theorems hold;
2. It formulates
a ‘contra-Boolean’ arithmetic and algebra of, algebraically-nonlinear,
logic, that satisfies the qualitative
inequality x2 ¹ x1, as a strong contradictory to Boole’s stated “Fundamental
Law of [linear, first-degree] Thought”, or “Law of Duality”, x2 = x, wherein x2 ¹ x1 constitutes the, F.E.D./- Seldonian, ‘Fundamental Theorem of
Dialectical Logic’;
3. It is capable
of modeling an extended, trans-triadic version of dialectics in general, and,
specifically, of the dialectics-of-Nature as a whole, as known so
far, via ‘qualo-fractal’, never-repeating, ontological, increasingly-complexifying,
ideo-graphical, mathematically-modeled categorial progressions,
akin to the, non-mathematically-expressed, textual dialectical
progressions of ontological categories presented by Platon, Hegel and Marx.
*[‘‘‘meta-mathematics’’’
is a system of prominently ideogramic symbolic language, made up out of the – vastly
– heterogeneous multiplicity of mere mathematical-ideogram-ical systems,
as it sub-units, that “talks” about these mere mathematical systems as
its objects of description, of which it is thus an, ‘«aufheben»-ating’, ‘ideo-meta-unit-ization’.].
For more
information regarding these
Seldonian insights, and to read and/or download, free
of charge, PDFs and/or JPGs of Foundation books, other texts, and images, please see:
and
https://independent.academia.edu/KarlSeldon
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ – as well as dialectically-illustrated books
published by
the F.E.D. Press, see –
https://www.etsy.com/shop/DialecticsMATH
¡ENJOY!
Regards,
Miguel Detonacciones,
Voting Member, Foundation Encyclopedia Dialectica [F.E.D.];
Elected Member, F.E.D. General Council;
Participant, F.E.D. Special Council for Public Liaison;
Officer, F.E.D. Office of Public Liaison.
YOU are invited to post
your comments on this blog-entry below!
