Tuesday, August 29, 2017

Part 02 -- ‘The Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole’.








Part 02 -- The Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole.







Dear Readers,



FYI:  Foundation Encyclopedia Dialectica [F.E.D.] has, today, continued the postings, to the Application Page of the www.dialectics.org web site, of a new series of JPEG images, presenting The [Meta-]Systematic, Presentational Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole --



For your convenience, I have also posted this second pair of images in this new series below.


ENJOY!



Regards,


Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison.










 












Monday, August 28, 2017

Part 01 -- ‘The Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole’.








Part 01 -- The Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole.







Dear Readers,



FYI:  Foundation Encyclopedia Dialectica [F.E.D.] has, today, begun to post, to the Application Page of the www.dialectics.org web site, a new series of JPEG images, presenting The [Meta-]Systematic, Presentational Dialectic of Marx’s Critique of Capitalist Political-Economics as a Whole --



For your convenience, I have also posted the first two images of this new series below.


ENJOY!



Regards,


Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.]/Special Council for Public Liaison;
Officer, F.E.D. Office of Public Liaison.























Sunday, August 27, 2017

CHARLES Fourier’s ‘‘‘Serialism’’’ -- ¿Precursor/Anticipation of the Seldonian Dialectic?







CHARLES Fouriers ‘‘‘Series-ism’’’ -- ¿Precursor/Anticipation of the Seldonian Dialectic?







Dear Readers,



FYI:  A passage from a new, 2017 book on Marx’s «Das Kapital» has “caught the eye” of the Foundation Encyclopedia Dialectica [F.E.D.] research community, with a passage on its page 36.

This passage intimates the existence of a Fourierist, and Proudhonist, ‘serial laws’ anticipation of the Seldonian Dialectic, one that may have also influenced Marx in his ‘‘‘systematic-dialectical’’’ construction of «Das Kapital».

More specifically, this passage intimates that the Fourierist and Proudhonist concepts of ‘serial laws’ may have anticipated the multi-categorial, poly-qualinomial series qualitative superpositionings’ [“superpositions” or “sums” of qualitatively differing terms -- not of purely quantitative terms, as per JOSEPH Fourier’s famous series], or non-amalgamative sums -- i.e., the multi-ontic cumula -- of ontological-category-representing symbols, as generated by a ‘‘‘Seldon Function’’’ -- i.e., by a self-reflexive function of an «arché» ontological category.

I have reproduced this whole passage, including its footnotes, below.

Elements of the F.E.D. research community are now seeking to corroborate, or to falsify, the claims of this passage.

The book is:  Marx’s Inferno:  The Political Theory of Capital, by William Clare Roberts, Princeton:  Princeton University Press, 2017.

The findings of the F.E.D. research on the claims of this passage -- one way or another -- are likely to influence the further development of the content of the www.dialectics.org methodology page --




Dialogically Yours,


Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison.







[pp. 36-37:]  There are in Proudhon’s writings of the 1840s numerous invocations of the promise of an economic science that would reveal the tendency toward order in human society and catalyze the development of that order.60

“In Qu’est-ce que la propriété? he summed up this prospective development by coining a phrase that would have a long life as another socialist myth:  “the sovereignty of the will gives way to the sovereignty of reason and ends up being replaced by a scientific socialism.”61 

“Proudhon’s notion of this incipient social science was heavily indebted to Charles Fourier’s conception of the “series,”62 the sum of an ordered succession of elements.63

The underlying idea is that the successivestagesorperiods” (époques) of history exhibit, in turn, successive principles, and that only at the end of the series will these opposed principles come into a harmonious interrelation.” [Emphases added by M.D.].

“As Proudhon put it, “while in nature the synthesis of contraries is contemporaneous with their opposition, in society the antithetic elements seem to be produced at long intervals, and to be resolved only after long and tumultuous agitation.”64

     “Because science is supposed to grasp the series, it must proceed through the elements of the series in turn, showing how any partial summation of the series, including any element on its own, is self-contradictory and inadequate from the point of view of justice.”

“Hence, science, in Proudhon’s sense must proceed methodically, following a determinate path, and may be said to pass from appearances -- the partial aspects of the world presented by each époque -- to the reality of the whole series.”

“As Proudhon put it, “to explain the system of the world, . . . one must leave the circle of appearances.”65

“This was the task Proudhon tried to accomplish in his Système. 


_______________________________________________________________________________
60For examples, see What Is Property?, 17-20, 208-11; OC Oeuvres Complètes»; the Complete Works of Proudhon], 4:136-41, 338-42; System [System of Economical Contradictions:  Or, the Philosophy of Poverty.], 1:44, 55, 388-97; OC, 1:66, 75, 337-44; OC, 5:80-100, 405-51.”

61What Is Property?, 208-9; OC, 4:339.”

62Coincidentally, there were two Fouriers obsessed with series:  Charles, and the mathematician Joseph.  Victor Hugo, in Les Misèrables, wrote that “There was a celebrated Fourier, at the Academy of Science, whom posterity has forgotten; and in some garret an obscure Fourier, whom the future will recall” (I.III.1).  This prediction has turned out to be very nearly the opposite of the truth, as the Fourier series is integral to mathematics [and to contemporary physics -- M.D.] while the other series, and the other Fourier, if not forgotten, certainly have no import in the social sciences [the latter being, at least in part, a critique of the contemporary, ruling class ideologically-engineered, so-called “social” “sciences”, i.e., the capitalist ideologies of ‘linearoid’, ‘individualoid’ atomism, reflecting the profound mutual alienation among selves, and the self-alienation, that vitiates human sociality, and human solidarity, in the modern, capitalist époque -- M.D.].”   

63Hoffman, Revolutionary Justice, 106-9; Crowder, Classical Anarchism, 112.”

64System, 1:129-30; OC, 1:135; compare What Is Property?, 19; OC, 4:19.”

65What Is Property?, 18; OC, 4:138.  Proudhon’s self-conception as a scientist has not aged well.  Even scholars very friendly to Proudhon, claim, e.g., that Proudhon’s “‘synthesis’ is quite artificial, claiming that it integrates without really doing so.” (Hoffman, Revolutionary Justice, 109).  Indeed, Proudhon himself may have been dissatisfied with this pretense for he largely dropped his claims to science after the disappointing reception of De la creation de l’ordre and Système des contradictions (Crowder, Classical Anarchism, 112).  There was, however, no point at which Proudhon either gave up his notion of historical development or his valorization of science as the outcome of that historical development.









Thursday, August 24, 2017

3rd Diagram -- ‘The Dialectic of the Seldonian Arithmetics for Dialectics’.








 3rd Diagram -- The Dialectic of the Seldonian Arithmetics for Dialectics.






Dear Readers,



FYI:  Foundation Encyclopedia Dialectica [F.E.D.] has posted its third diagram, summarizing the Seldonian ‘[meta-]systematic dialectical method of presentation [long-form] of the Seldonian arithmetics for dialectics, for presentation step s = 3, to the Application Page of the www.dialectics.org web site --



For your convenience, I have also posted this new diagram below.


ENJOY!



Regards,


Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison.






















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 Readers,



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 space, WQ, of these meta-numbers,

WQ  =  { q0, q1, q2, q3, . . . }, viz. --

q1 + q2  is not in   WQ

-- and --

q1 x 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 x 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. ...







Sunday, August 20, 2017

"The Liar's Paradox [Epimenides' "pseudomenon"] and other '''Self-Reflexive''' Paradoxes of Logic and Set Theory.










The ancient «arché», and epitome, of all of these “self-referential” paradoxes, is the Epimenides “peudomenon”, or “Liar Paradox”.

This ‘‘‘[self-]reflexive’’’ [cf. Bertrand Russell], “self-referential” sentence, epitomized as “This sentence is false.”, can be translated, into original-Boolean algebra, as the logical equation 

t  =  (0/0)(1 - t)

One of the two branches of this equation is t  =  (1)(1 - t), which simplifies to t   =  1 - t, so that 2t = 1.   

So t = 1/2  for that branch.

In original-Boolean, this means that the quoted sentence is “true half of the time, false the other half of the time”, as in a cyclical, “infinite” frequency, “infinitesimal” wave-length oscillation between 0 and 1

Of course, many more meaningful sentences exhibit truth-value fluctuation, in an aperiodic way, more like a “strange attractor”, less like a “limit-cycle attractor”, in terms of the 'solution-geometries' of nonlinear differential equations in their state-spaces.   

For example, the sentence, “It is raining.”, is true, lately, on Earth’s surface, some fraction of the time.    

It’s negation, “It is not raining.”, is true ‘1 minus that fraction’ of the time.

Sentences like, “It is sunny.”, are true during some fraction of that ‘1 minus that fraction’ of the time.








Thursday, August 17, 2017

Part 12: The Seldon Dialogues, Excerpts -- Dialectics as a Heuristic.







Part 12:  The Seldon Dialogues, Excerpts --

Dialectics as a Heuristic «Organon».







Dear Readers,



FYI --

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 sayings, of our co-founder, Karl Seldon.
The twelfth such release in this series is pasted in 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.







... dialectics is a heuristic, not a guarantee of adherence to the «arché»-category/contra-category/uni-category/... pattern in every last instance.”

‘‘‘Universality’’’ does not imply exceptionlessness.”

“Nevertheless, we can educe many evidences supporting an expectation that such adherence will be frequent, not only in the synchronic context, but in the diachronic context, and in the diachronico-synchronic context as well. ...”

“. . . If a given kind is the first born of its ‘‘‘lineage’’’, and if it is born with intra-duality or self-duality, then it will, at some length, divulge and disgorge its own other, its other kind.  Then, at yet further length from its time of birth, as these now two, kinds develop [in] their mutual otherness, some of both will eventually merge, will re-unify in a way that exceeds their earliest, primitive undifferentiated unity, in which the other was still occulted, when there was only one manifest kind, and not, as now, three manifest kinds. ...”

“. . . The ontology of our «kosmos» grows monadically, by means of expandedly reproducing individual units that are also agents of ontological change -- historical [proto-]subjects, catalyzing ‘onto-dynamasis’.”

“But the -- limited -- human mind cannot follow each of these agents individually and all at once.”

“The human mind can, instead, best grasp groups -- grasp the [self-]movements of myriads of «monads» by means of «arithmoi», that is, of “kinds” [i.e., of «gene» and of «species», etc.], that is, of ‘‘‘kind categories’’’, or ‘‘‘ontological categories’’’, and of the ‘birthings’ of new ‘‘‘ontological categories’’’ from out of the midst of themselves. . . .







2nd ‘Dialectogram’ ENHANCED -- ‘The Dialectic of the Seldonian Arithmetics for Dialectics’.








 2nd DialectogramENHANCED -- The Dialectic of the Seldonian Arithmetics for Dialectics.






Dear Readers,



FYI:  Foundation Encyclopedia Dialectica [F.E.D.] has posted an ENHANCED version of its second dialectogram diagram, summarizing the Seldonian ‘[meta-]systematic dialectical method of presentation [long-form] of the Seldonian arithmetics for dialectics, for presentation step s = 3, to the Application Page of the www.dialectics.org web site --


Comparing the dialectogram diagram below to that of my earlier blog-entry, here, on its earlier version --


-- shows the dramatic results of several days of reflexion, within the F.E.D. research collective, on this content.

Massive additional content has been generated, by this iterated immanent critique of the earlier ‘content-structure’ of this representation. 

We feel that this enhanced image, while very “busy”, contains most of what a determined reader would need to comprehend the dialectic presentation of the Seldonian dialectical ideographies, in a single unit of expression.


For your convenience, I have also posted this dialectogram below.


ENJOY!



Regards,


Miguel Detonacciones,

Member, Foundation Encyclopedia Dialectica [F.E.D.],
Officer, F.E.D. Office of Public Liaison.