Capitalism’s Fatal Flaw and Pseudo-Socialism... . GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

 

Capitalism’s

Fatal Flaw

and

Pseudo-Socialism:

 

 

 

The Fundamental

Marxian-Seldonian

Psychohistorical

Proposition

Regarding the

Capitalist

System.

 

 

GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

The fundamental Marxian-Seldonian psychohistorical proposition regarding the capitalist epoch stems from the ineluctable ‘intra-duality’, ‘internal self-opposition’, or ‘intra-contra-kinesis’ within the core of capitalist humanity’s ‘capital-praxis’, which is –

 

(1) Capital as “self-expanding value” [Marx], via the partial reinvestment of profits into new capital investment, and, increasingly, into new, productive-force-embodying and productive-force-enhancing fixed capital;

 

VERSUS

 

(2) Capital as ‘self-contracting value’ [Seldon, amplifying Marx], via the accelerating, world-market- competitive ‘techno-devaluation’ of accumulated, “legacy fixed capital. 

This obliteration of past capital-value is due, ironically, to short-term profitability-gains-incentivized advances in fixed-capital-assisted productivity gains, with the resulting ‘techno-depreciated’ value of legacy, ever-newly-obsoleted fixed capital subtracting from gross profits. 

Moreover, this happens in the context of additional, debt-load-burdening, profits-subtracting debt-service required for the, often huge, bank loans needed to purchase replacements, for the obsoleted fixed capital, by the new, lower-cost, more-productive fixed capital, while still paying debt-service on the scrapped, obsolete, legacy fixed capital, no longer earning any profits.

 

In the ‘ascendence-phase’ of the world-market capitalist system, circa 1500 to 1870 C.E./B.U.E., capitalisms ‘thesis-process’, of self-expanding value’ prevails, dominating over its ‘antithesis process’, of ‘self-contracting value’, as the ratio of fixed capital value divided by total capital value remains small.

 

In the ‘descendence-phase’ of the capitalist epoch, circa 1870 C.E./B.U.E. to the present, the ‘antithesis-process’ of the capitalist form/stage of human society- self-reproductive praxis prevails, with the capital-praxis as ‘self-contracting value’ increasingly dominating over its ‘thesis-process’, that of the capital-praxis as “self-expanding value”.

 

Facing bankruptcy, hence overthrow of their socio-politico-economic power, together with all of its status, and all of its, criminal, “perks” – facing a fatal “betrayal”, by their “own” economic system – the faction of the capitalist ruling class that includes the owners of the greatest concentrations of industrial, raw materials, and banking capital – who own the biggest, and, by then, the most GARGANTUAN, hyper- accumulations of legacy fixed capital, and of related bank-loan-capital, BECOME DERANGED, and, ultimately, as their risk-of-economic-overthrow worsens, BECOME ‘HUMANOCIDAL’, as a result.  

 

This dominant capitalist ruling-class faction’s hired ‘servant-dictators’, in what thereby became the “Third World” – servants to the ‘descendence-phase’ capitalist ruling faction; brutal, progress-reversing dictators to their own people – proliferated throughout the “semi-periphery” of ‘geocore’ capitalism [the U.S., the U.K., and France], reversing and suppressing ‘techno-depreciation’-threatening, ‘geocore’ profit-rates-threatening capitalist-industrialization in those, developing countries of the ‘semi-periphery’.  

Those servant-dictators’ armaments and perks were paid for by, from the U.S., e.g., the new “income taxes” on the working class and the lower capitalist class, in the ‘geocore’, imposed by that ruling faction in 1913, along with their “Federal Reserve”, central-banking economic dictatorship. 

 

One of the results of this suppression of the growth of the social forces of production in that “semi-periphery”, was the, prevenient, irruption of brutal, dictatorial, police-state and totalitarian forms of bureaucratic state-capitalism, prevenient forms of the state-capitalism to which all capitalisms eventually, predictably devolve – falsely and fraudulently claiming to represent Marxian socialism or communism, i.e., grassroots political-economic democracy – begin to irrupt in that “semi-periphery”, as modes of “primitive accumulation” of industrial capital, to save their state-bureaucracy ruling classes, at horrific cost to their, state-enslaved, agricultural and industrial workers, by a crash program, to build-up a military-industrial complex, one capable of deterring invasion by the armies of the capitalist-imperialist ruling class ruling faction of the capitalist ‘geocore’, which would mean the brutal  “liquidation’ of those state-bureaucratic ruling classes.

 

Leninist, state-bureaucracy-as-ruling class, police-state dictatorships, in industrially still-backward nations-states of the “semi-periphery”, such as Russia and China, which were still deeply unripe for the, Marxian-socialist, industrial-working-class majority-electoral transition to grassroots political-economic democracy, but falsely claiming to exclusively “own” the Marxian tradition, and seeking to murder anyone who criticized that lying claim, began to proliferate worldwide, in the aftermath of World War I, and of World War II – the latter fought against genocidal, German and Italian, nazi and fascist, also state-capitalisms/imperialisms – by the “representative-democratic” [actually plutocratically-ruled] capitalist imperialist ruling class of the “West”.

 

That Lenino-Stalinist “Big Lie”, and its false promise of a “worker’s paradise” and of democratic rule by workers’ councils [Russian name: soviets], constitutes the most COLOSSAL bait-and-switch FRAUD in the history of humanity.

 

Don’t be duped again, this time by the ‘Lenino-Stalinoid/Jihadist’ pseudo-“socialists”, who, now in the U.S., are seeking election all across the country, under the auspices of the, ‘Rocke-Nazi-whore’, “Democrat” Party.

 

 

 

 

 

 

 

 

 

 

 

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!

 

 

 

 

 

 

SOLUTION –

 

‘Equitist Political-ECONOMIC DEMOCRACY’; 

 

BOOK:

 

MARX’S MISSING BLUEPRINTS

Free-of-Charge Download of Book PDF –

http://www.dialectics.info/dialectics/Applications.html

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Hardcover Book Order –

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Part 10: Seldon on ‘‘‘Dialectical Categorial Progressions’’’ Series. Dialectical Categorial Progressions’ ‘‘‘FINGERPRINTS’’’.

 

                                   
                 

 

 

 

 

 

 

Part 10: Seldon on

 

‘‘‘Dialectical Categorial Progressions’’’ Series.

 

 

Dialectical

 Categorial

Progressions’

‘‘‘Fingerprints’’’.

 

 

 

 

 

 

 

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 commentaries on key Encyclopedia Dialectica concepts of Seldonian Theory.

 

 

This 10th 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 any, dialectical, ontological categories-progression, whether ‘‘‘historical-dialectical’’’ or ‘‘‘systematic-dialectical’’’, but modeled in the algebra of the _WQ ‘meta-numbers’ for modeling dialectics, and whether that _WQ category-symbols progression is fully-solved, partially-solved, or not solved at all, there is an algorithm that produces a ‘quanto-qualitative’ value that uniquely characterizes per the number of _WQ category-symbol terms in any such _WQ progression or series, summed non-amalgamatively, in that modeled, heterogeneous, dialectical ontological categorial progression.”

 

“We noticed this progression-metric years ago, but I do not believe that we have ever published anything about it here, before this very blog-entry.”

 

“Why do we call it a ‘quanto-qualitative’ value, instead of just a [“purely”-]quantitative value?”

 

“We do so because that value involves a Real number quantifier, yes, but one that ‘‘‘multiplies’’’ a metrological unit ‘qualifier’, e.g., belonging to the –

 

q₇ (---] _Rq_MQN ¶|-º _Rq_MU |-º  _Rm

 

– axioms-system of arithmetic, the 7^th such system in the ideo-[meta-]systematic dialectic of the Encyclopedia Dialectica arithmetics for modeling dialectics.” 

 

“The candidate ‘metrological unit qualifiers’ for this value include grads [or “grades”, “gradians”, or “gons”], radians, and degrees.  The specific quantity of the metrological unit quantifier varies with the metro-logical unit qualifier chosen.” 

 

“Any of the metrological units could be chosen to fill the role of ‘m°_u°₆, Î the _Rq_MU or _Rm space, 

or set, our ‘metrological unit qualifier ‘dialectical meta-numeral’ for angle-measurements.”

 

“But, how is this possible, to quantify category-symbols’ progressions, other than simply by their count of _WQ generic arithmetical categorial-qualifier-symbols itself?”

 

“It is possible because, in the analytical-geometrical representation of the _WQ space, or ‘unit-line-segments’ ‘‘‘set’’’, each generic ‘meta-number’ is represented by a unit-length line segment, which is orthogonal to all of the other generic meta-numbers’ unit line segments, so that every distinct _WQ ‘meta-number’ occupies its own, perpendicular, unit-size dimension, without any 2+-dimensional “volumes”, only such single-dimensional line-segments, being included in the substance or ‘content-structure’ of _WQ ‘meta-number’ space, and with all of these rectilinear dimensions joined and intersection in the q₀ “origin” of this space.”

“That is, the _WQ space is defined as a space, not made up out of any “infinitude” of “infinitesimal points”, but, on the contrary, as a space made up out of an – ‘operatorially’ growing – but always finite number of finite length – unit length – ‘impartible’[‘a-tom-ic’] line-segments.”

“Thus, q₁¹ generates the 1-dimensional space q₁, 

q₁² generates the 2-dimensional space q₁ ^ q₂; 

q₁³ generates the 3-dimensional space q₁ ^ q₂ ^ q₃, 

and so on.”

 

“Thus q₁³ generates a dotted-line cube, whereas q₁² and q₁¹ generate, respectively, 2-dimensional and 1-dimensional dotted-line ‘hypo-cubes’, and q₁⁴ generates an, idealized, dotted-line 4-dimensional “hyper-cube”, etc.”

 

“As its takes two, end-points-sharing line-segments to form an angle, the angle represented by q₁¹ = q₁ is, not 0, i.e., not ‘empty zero’, but ‘full zero’: non-existent.” 

 

The angle represented by q₁² =  q₁ + q₂ is that of the diagonal of a unit-lengths-sided square, of length Ö2, with angle 45°.”

 

The angle represented by the maximum-length diagonal of –

 

 q₁³ =  q₁ + q₂ + q₃ 

 

– is that of a unit-length-sided cube.  The length of that diagonal is, per the Pythagorean theorem –

 

Ö((Ö2)² + (1)²)  = Ö3,

 

– and its angle is –

 

 sin^-1(Ö3)  »  35.26°.” 

 

“One of our interested volunteers consulted an AI about the extension of this pattern to the generic _WQ arithmetic’s generic 4-D categorial progression –

 

q₁⁴  =  q₁ + q₂ + q₃ + q₄

 

– and beyond, and obtained the following advice during that [K.S.-edited] dialogue:

 

 

“[note that the ‘hypo-diagonals’, “diagonals”, and “hyper-diagonals” herein addressed are not IN the _WQ space; they all ‘‘‘transcend’’’ that space, ‘‘‘except’’’ for q₁¹ = q₁.  That is, _WQ space is not “closed” for its operations of categorial ‘‘‘addition’’’, categorial ‘‘‘multiplication’’’, and categorial ‘‘‘exponent-tiation’’’]” 

 

 

 

 

Q1.  I am interested in calculating the angle as well as the length of the maximal DIAGONALS unit-[hyper]cubes of various dimensionalities, and request your help in doing so.  If we consider that a unit length one-dimensional line segment is a 1-D unit ‘hypo-cube’, then call its angle is 0 degrees, its length is 1 unit.  If we also consider a two-dimensional unit square to be a 2-D unit ‘hypo-cube’, then its diagonal’s angle is 45 degrees, or pi/4 radians, and that diagonal’s length is the square-root of 2 units [irrational length].  For a three-dimensional unit cube, the length of its diagonal is the square-root of 3 units [again, an irrational-magnitude].  But what angle does the diagonal make with the base square face of that unit cube?  Likewise, what is the angle and length for the maximal diagonal of a mentally-constructed four-dimensional unit hyper-cube, and for a five dimensional unit hyper-cube?  Do the lengths of those diagonals happen to be the positive square root of four and the positive square root of five, respectively?

 

 

R1.  For a 3-D unit cube, the maximal diagonal makes an angle of approximately 35.26 degrees ( arcsin(sqrt(3)) ) with its base square face.  For 4-D and 5-D unit hypercubes, the maximal diagonal lengths are indeed sqrt(4) = 2 units and sqrt(5) units, making angles of 30 degrees and of approximately 26.57 degrees with their respective orthogonal base hyperfaces.

 

 

1. Generalize diagonal lengths

The length of a maximal diagonal in an n-dimensional unit hypercube is calculated using the Pythagorean theorem extended to n dimensions:

L_n = sqrt(1^2 + 1^2 + … + 1^2) = sqrt(n)

• 3D Cube: L₃ = sqrt(3) units (irrational).
• 4D Hypercube: L₄ = sqrt(4) units (rational).
• 5D Hypercube: L₅ = sqrt(5) units (irrational).

 

2. Calculate the 3D angle

To find the angle q₃ between the main diagonal of a 3D cube and its 2D base face:

• The height perpendicular to the base face is 1 unit in length.
• The length of the diagonal of the 2D base face is sqrt(2).
• The length of the main 3D diagonal is sqrt(3).

q₃ = approximately 35.26°, or 0.6155 radians.

 

3. Calculate the 4D angle

To find the angle q₄ between the main diagonal of a 4D hypercube and its 3D base cube hyperface:

• The length along the new 4th dimension is 1.
• The maximal diagonal of the 3D base cube is sqrt(3).
• The main 4D diagonal is sqrt(4) = 2.

q₄ = approximately 30.00° or p/6 radians.

4. Calculate the 5D angle

To find the angle q₅ between the main diagonal of a 5D hypercube and its 4D base hyperface:

• The length along the new 5th dimension is 1.
• The maximal diagonal of 4D base hypercube is sqrt(4) = 2.
• The main 5D diagonal is sqrt(5).
• q₅ = approximately 26.57°, or 0.4636 radians.

 

Summary Comparison Table

Dimension (n)	Geometric Name	Maximal Diagonal Length	Angle with Base (n-1)D Hyperface
1	Line Segment	1	0° or 0 radians
2	Square	sqrt(2), approx. 1.414	45.00° or p/4 radians
3	Cube	sqrt(3), approx. 1.732	»35.26° or »0.6155 radians
4	Tesseract (4-D hyper-cube)	sqrt(4) = 2	30.00° or p/6 radians
5	Penteract (5-D hyper-cube)	sqrt(5), approx. 2.236	»26.57° or »0.4636 radians.

 

 

✅ Final Answers

The 3D main diagonal forms an angle of approx. 35.26° with its base face. Your hypothesis is correct: the 4D and 5D maximal diagonal lengths are exactly sqrt(4) = 2 and sqrt(5) units, forming angles of 30.00° and approx. 26.57° with their respective underlying base hyperfaces.

 

 

“So, the higher the number of distinct category-symbols in a _WQ-language-formulated categorial progression ‘meta-model’ – i.e., the higher the dimensionality of the _WQ space generically undergirding that specific/interpreted categorial progression – the greater the “fingerprint” length of its [hyper-]diagonal, and the smaller the “fingerprint” angle of that [hyper-]diagonal.”

 

----------------------------------------------------------------

 

“After the dialogue with the AI about the “fingerprint” lengths and angles of the vector-sum-like [hyper-]diagonals, in _WQ space, uniquely characterizing, ‘quanto-qualitatively’, categorial progressions of any given finite count of category-symbol-terms, and, noticing that the AI’s algorithm, for ‘hyper-diagonal’ fingerprints, rested upon a dimensionality > 3 generalization of the, originally 2-D, Pythagorean theorem, we asked the AI for its proof of that generalized Pythagorean Theorem, and obtained the following from that secondary dialogue.”

 

 

“Summary of the AI’s [edited] proof –”

 

 

 

Theorem-proposition statement [to be proven]: The square of the length of the diagonal of an n-dimensional rectangular cuboid (hyperrectangle), generalized for n > 3, is equal to the sum of the squares of its n orthogonal edge lengths.

 

Inductive Proof of the Theorem-proposition.

1.  Establish the Induction Base Case.

For n = 2, the “hyper”-rectangle is a standard, flat rectangle.  A single diagonal splits it into two right-angled triangles.  By the classical – and abundantly already proven – 2D Pythagorean Theorem, the square of the lengths of the diagonal, D₂, spanning the first two dimensions, is, via the lengths of rectangle’s sides 1 and 2, s₁ and s₂:  

D₂²  =  s₁² + s₂²  

2.  Formulate the Inductive Hypothesis.

Assume that the proposed, generalized Pythagorean Theorem holds for a space of k dimensions, k > 3.  According to this hypothesis, then, the square of the length of the diagonal D_k, spanning across k mutually-perpendicular dimensions, is equal to the sum of the squares of the lengths of those k edges: D_k²  =  s₁² + s₂² + … + s_k²

 

3.  Apply the Inductive Step.

Extend the hyperrectangle into the (k+1)th dimension by adding one new orthogonal edge, of length s_(k+1).

Because this new edge is perpendicular to all k dimensions of previous, mutually-perpendicular, edges, it must also be perpendicular to the existing intermediate diagonal line-segment, of length D_k.

Together, the intermediate diagonal, of length D_k, and the new edge, of length s_(k+1), form the two legs of a new, locally-flat, locally-2D, right-angled triangle.  The hypotenuse of this triangle is the full, dimension-(k+1) diagonal, of length D_(k+1).

Applying the, base-case, 2D Pythagorean Theorem to this right-angled, locally-2D triangle yields: 

D_(k+1)  =  D_k²  +  s_(k+1)²

 

4.  Substitute and Conclude.

Substitute the induction hypothesis expression for D_k² into the new equation: 

D_(k+1)²  =  s₁² + s₂² + … + s_k²  +  s_(k+1)²;

so, D_(k+1)²  =  S_{i = 1 to i = (k+1)}(s_i²)

Thus, by the mathematical induction argument given above, the proposed theorem is proven true for “Natural” Numbers hyper-dimensions n > 3, and, indeed, for all dimensions, 

n ³ 2.  

Q.E.D.

 

Final Algorithm Formulation.

The distance or Diagonal length D, across any n-dimensional Euclidean space figure with orthogonal component lengths, {L_i}, is determined by squaring each individual orthogonal component length, then summing all of those squares, and then computing the positive square-root of their sum: 

D = +Ö(L₁ + L₂ + … + L_n).

 

 

 

 

 

 

 

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!