The wQ System’s “Sweet Spot” Trifecta. GLOBAL STRATEGIC HYPOTHESES.

 

 

 

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:

www.dialectics.info

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!

 

 

 

 

 

 

 

Series -- Part 12: Seldon on Dialectical Categorial Progressions. The ‘Dialectical META-Axiomatics’ Method of Presentation.

 

 

 

 

 

 

Part 12: Seldon on

 

‘‘‘Dialectical Categorial Progressions’’’ Series.

 

 

The

‘Dialectical

Meta-Axiomatics’

Method

of

Presentation.

 

 

 

 

 

 

 

Dear Reader, 

It is my pleasure, and my honor, as an elected member of the Foundation Encyclopedia Dialectica [F.E.D.] General Council, 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, Seldon’s founding commentaries on key Encyclopedia Dialectica concepts of Seldonian Theory.

 

 

This 12th and final text in this series is posted herewith, together with supporting text-images and diagrams [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].

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Seldon –

 

 

 

 

 

 

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:

www.dialectics.info

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!

 

 

 

 

 

 

 

 

 

 

 

‘Dynamical Analytical Geometry’: Internal Arithmetical Operations that DO vs. DON’T Expand wQ Space. GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

‘Dynamical

Analytical

Geometry’:

Internal

Arithmetical

Operations

that

DO

and

DON’T

Expand

_WQ Space.

 

 

 

 

GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

The essay below describes the dynamical versus the statical analytical geometry of the _WQ arithmetic /algebra.

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:

www.dialectics.info 

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!

 

 

 

 

 

 

 

Seldon on: Mathematico-Scientific Perfectionism. GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

Seldon on:

Mathematico-

Scientific

Perfectionism.

 

 

 

GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

The text below contains a salutary caution from our co-founder, Karl Seldon.

 

 

Seldon –

“The goal of discovering a mathematical formalism, and an accompanying verbally-formulated theory, that perfectly matches empirical measurements of physical reality, is, and always has been, a quixotic, delusory pursuit, especially in the “[human-]social” sciences, but also even in the, much more vaunted, “natural” sciences.”

 

“Physical actuality always seems to assault such self-deluded perfection-seeking “scientists” with exceptions, anomalies, cases which slip through the fisted fingers of human mental handiwork, always at least partly escaping the grasp of our concepts.”

 

“Such has been the case so far.”

 

“At the very least, it is way too early for us, now, or perhaps even ever, to expect theoretico-mathematical “perfection”, we whose physics has deeply studied only ~5% of the, just so very recently discerned, total mass/energy content of our cosmos; the ‘Bright Matter’ part, with the ~25% “Dark Matter” part, and with the even more predominant “Dark Energy” part, at ~70%, still deeply unexpected, very-little-explored, and even less understood.”

 

“Of course, the Platon-oid mathematical mystics have an easy out when confronted with the pervasive imperfections rife in modern, mathematico-science.  They can claim that their mathematical forms, truly located only in an immaterial, immutable, eternal and transcendental realm of pure «ideaV», ARE “perfect”.  That it is just the coarse, dirty, degenerate physical, material world that is at fault; that is just a crude, rough-edged, faulty copy of that perfect realm, hence cannot perfectly fit those “pure” forms.”

 

“However, for those of us who do not buy that math-mysticism, it is apparent that our models can only be imperfect renderings of reality, estimates containing errors, both quantitative and qualitative/ontological errors; models inescapably inexact and defectious, albeit also susceptible of continuing improvement.”

“Homeomorphic defect is here to stay.”

 

 

 

 

 

 

 

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:

www.dialectics.info

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!