Full Title --
Part 1 of 9. Seldonian, Dialectical-Algebraic Derivation of the Fundamental Features
for the
Global Successor System to [Self-]Global[ized] Capitalism,
using the Dialectical ‘Meta-Equation’ that Models the ‘Meta-Evolution’
of the Human-Social
Relations of Production.
by [guest
author] Hermes de Nemores, Secretary-General, Foundation Encyclopedia Dialectica.
Dear Reader,
Questions have recently been raised in ‘www’ dialogues in
which I participated as to what Karl
Seldon derived, and how he
derived it, with regard to the global system of ‘Democratic Communism’, or of
‘Marxian democracy’ -- of ‘Political-Economic Democracy’ -- as the global successor system to
global capitalism, using the dialectical algebra that he discovered in 1996.
Such questions deserve an answer, and, starting with this blog-entry, the next sub-series of blog-entries will address these
questions.
The first nine of these blog-entries are from the writings of a first-time guest author here, Hermes de Nemores, the
Secretary-General of Foundation Encyclopedia
Dialectica, and the chairperson of its General Council, extracted from his recent update to an introductory text, whose earlier version is
available via --
[see, in particular, pages B-24 to B-37 in the latter].
-- which I have adapted to the locally-available typography.
For more
information regarding these
Seldonian insights, please see --
www.dialectics.info
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ – as well as illustrated
books 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!
Example 5: NQ_ [Psycho]Historical
Dialectical ‘Meta-Model’ -- Taxonomy Level 2. The ‘Meta-Equation’
of Human-Social Relations of
Production ‘Meta-Evolution’.
Karl Seldon applied the
‘algorithmic heuristic’, the non-extensional, ‘intensional/intuitional’ algebra of
the Seldonian NQ_ “First Dialectical Arithmetic”, to derive a solution to
a longstanding, central problem of Marxian, dialectical science. This central problem was, explicitly,
left unsolved by Marx and Engels. Nor had not it been solved adequately either
by their ostensible followers ever since, as of the time of Seldon’s
solution. This central problem is
that of the ontological, dialectical
definition of the principal,
essential features of the ‘socio-ontological category’ that represents the core
social relations of production
of the global successor system to the global system of capitalism*.
The aim here is to “digest” the Seldonian derivation of that
solution.
The ‘meta-equation’, or ‘equation
of
equations’, to be narrated, and, partially, to be solved, herein is one of the
seven such Seldonian ‘meta-equations’ that we term ‘The
Psychohistorical-Dialectical Equations’.
In its full Seldonian rendering,
this ‘[Psycho]Historical-Dialectical Equation’ would be solved progressively,
‘‘‘inductively’’’, for each term subsequent to its originating, or «arché», ultimate ancestor,
category-term, in progressive order, term-by-term, i.e., category-by-category,
epoch-by-epoch, for both the epochs that belong to the past, behind our
historically present epoch, “re-constructing” our past, and then for our
present epoch, and then, finally, for our future, ahead of our historically
present epoch, thus ‘pre-constructing’ -- “pre-dicting”, or ‘before-saying’ -- our future.
Moreover, this ‘meta-equation’
would be formulated, and solved, not only in the algebra of NQ_, the Seldonian “First
Dialectical Arithmetic”, but also in the dialectical algebras of a selection of
the higher, descriptively richer, more “determinate” Seldonian systems of
Dialectical Arithmetic, in the order that they arise in the dialectical progression of the Seldonian
Dialectical Arithmetics, as given by the Seldonian ‘meta-equation’ --
)-|-(s = ( N_ )^(2^s) =
N_ + NQ_ + NU_ + NM_ + Nq_MN + Nq_MQ + Nq_MU + NA_ +...+ Nq_AMU
+ ...
-- wherein N_ stands for the «arché» system of arithmetic, the “first order”
axiomatization of the “Natural” Numbers, N, the axiomatization which “quantifies over” [talks
about] only individual “Natural” Numbers, and not about the qualities shared by
groups of such numbers [“second order”], etc.
E.g., Seldon’s social relations of production
‘meta-equation’, after having been first formulated, and then solved, in the
ideographical language of the Seldonian “First Dialectical Arithmetic”, would
be progressively reformulated, and solved, in at least the dialectical algebras
of the second, RU_, sixth, Rq_MU, fourteenth, Rq_AMU, thirtieth, Rq_BAMU, and sixty-second, Rq_GammaBAMU, dialectical arithmetics, for the version of the 'meta-equation' above which replaces N_ with R_, the first-order axiomatization of the "Real" Numbers.
The solution-procedure for
‘dialectical meta-equations’ formulated in the algebra of the Seldonian “First
Dialectical Arithmetic”, for specifically diachronic,
[Psycho]Historical-Dialectical ‘meta-equations’, has not yet been cleared for public
dissemination by the F.E.D. General Council. However, the partially parallel,
partially corresponding solution procedure for specifically synchronic,
Systematic-Dialectical ‘meta-equations’, named ‘The Organonic Algebraic
Method’, has been released, and is publicly accessible via the following links
--
The 'Dialectic
of Human Nature', within cosmological
Nature as Totality,
from the
viewpoint of the historical 'meta-evolution' of the 'human-social relations of [human society self-re-]production' is the focus of the 'meta-model' of human-social 'meta-evolution' explored in this section.
Let us 'open up' the h [human species] component of the 'Taxonomy Level 1' universe
‘meta-model’ in a different way.
Let us do so in a way which focuses on the 'evolute' [as opposed to
'convolute'] progression of human social relationships of human-societal
self-reproduction,
or of human-social relations of
production-incenting/-inducing
circulation, as identified by Marx in his dialectical,
immanent critique of classical, capitalist political economy.
Let us thereby construct a
different '2nd-level' universe ‘meta-model’
for the relative 'meta-evolutions' going on 'inside' the h ontological category, locus Terra, with the following
kind of 'meta-fractal' structure, or '[quanto-]qualitative scaling self-similarity structure', of the ‘multi-meta-ontic,
multi-meta-monadic historical cumulum’ of 'social-relations-of-production / social-praxis ontology'.
We can do so via the following
"interpretations" or "assignments" of the ‘meta-number’ unit-qualifiers, { qk
}, the abstract, generic dialectical ontological
categories, contained in NQ_ | k in N, to specific 'ontological categories' [‘ontos’], or «arithmoi», made up out of the 'ontic species' of '[meta-]monads', or '[meta-]units', of human social relations of production 'social ontology'. The social relations units, or «monads», that constitute these
categories, or «arithmoi», are described, herein, as active subjects. The real
subjects, behind these, their social relations
of production labels, are human agents, social individuals, who
act as personifications of these, the social relations
of their own social reproduction.
The following assignments [‘[--->’] of specific to generic category-symbols stipulate a
solution to this section’s subject ‘meta-equation’ through its epoch t = 4, but not for its epochs t = 5+. The purpose of this example is to narrate the stipulated solution to epoch
t = 4, and to derive a solution for epoch t = 5. The
‘stipulated solution’ up into epoch t = 4 is as follows --
A denotes the human-social activity onto
/ «arithmos» which has, as its units / «monads» / connoted content,
immediate Appropriations of the
"raw" products of nature, without "improvement" for human
use, by human labor, i.e., with little-to-no human 'use-value-added'.
This is the stipulated «arché»,
or originating
‘socio-ontological category’, for
the dialectic of the human social relations of production per this dialectical
‘meta-model’, i.e., for this modeled self-progression of [proto-]human[oid], or 'meta-[animal-]social', systems of social
relations, such that A =
qA [---> q1;
G denotes the onto / «arithmos» of '2nd degree Appropriation', i.e., of 'serial-Appropriation' and / or 'cross-Appropriation', of ‘nature-products’, yielding a ‘second nature’, of
by-humans-improved, for human use, products, that is, Goods / intra-tribal Gifts as '2nd degree' Appropriations, or 'meta-Appropriations' [made out ] of '1st
degree'
Appropriations [or 'containing' a heterogeneous multiplicity of '1st degree'] Appropriations, as social-relations units / «monads», i.e., as the
‘‘‘elements’’’ of 'human social-relations ontology', with '1st degree Appropriations' as the sub-units
/ sub-«monads» of / “inside” these new, Goods/Gifts units; the 'self-«aufheben»'
'self-internalization' / 'self-subsumption' / 'self-conservation' of '''Raw
Appropriations''' as human social-relations of [social-re-]production «monads», such that G = qG = qAA [---> q2;
C denotes the onto / «arithmos» of pre-Money,
'bartered'
Commodities, or of Goods+
-- having direct use-value,
but having 'indirect, exchange-use-value' as well; of '2nd degree' or '[meta-]Goods' [made up out] of '1st degree',
other Goods [or 'symbolically ['''socio-psychologically''',
'''collectively-mentally'''] containing' [a heterogeneous
multiplicity / list of '1st degree', other] Goods, as social-relations units
/ «monads», with Goods obtainable by
them in
customary barter-exchange as their sub-«monads»; the 'self-«aufheben»' 'self-internalization' /
'self-subsumption' /
'self-conservation' of '''Goods'''
as social-relations-of-production [meta1-]«monads», such that
C = qC = qGG [---> q4;
M denotes the onto / «arithmos» of Monies as units / «monads», born when a single Money-Commodity singles-out as accepted, near-universal equivalent; a 'socio-ontological category' of '2nd degree', or 'meta-, Commodities' [made up] of
'1st degree'
Commodities [or 'symbolically ['''psychologically''',
'''mentally'''] containing' a heterogeneous multiplicity / list of '1st degree']
Commodities, which these Monies can customarily
“purchase”, as their sub-units
/ sub-«monads»; the 'self-«aufheben»'
'self-internalization' / 'self-subsumption' / 'self-conservation' of ‘‘‘Commodities’’’ as social-relations-of-production [meta2-]«monads», such that M = qM = qCC [---> q8;
K denotes the onto / «arithmos» of «Kapitals»; Money+ which makes more Money+; ‘autocatalytic [exchange-]values’ as units / «monads»; a ‘socio-ontological
category’
of ‘2nd degree’ or ‘[meta-]Monies’
[made
up out]
of [or ‘symbolically [‘‘‘psychologically’’’,
‘‘‘mentally’’’] containing’ a size-heterogeneous multiplicity of ‘1st degree’] Monies, acquired as “[net] retained earnings”, i.e.,
the monetary profits [or losses] of
previous-period capital circulations / realizations, or as “expected” [mentally
imagined] monetary profits/losses of future
capital investment ventures / “deals” -- of their projected circulations /
realizations / monetary proceeds -- the
‘self-«aufheben»’ ‘self-internalization’ / ‘self-subsumption’ / ‘self-conservation’
of ‘‘‘Monies’’’ as social-relations [meta3-]«monads», such that
K = qK = qMM [---> q16
-- with the following,
stipulated-solution, human-social ‘meta-genealogies’, or ‘meta-social meta-phylogenies’ --
A ---> ~<A> = AxA = <A>2 = <A + D<A> > = <A + qAA> = <A + G > ¬{<,=,>} A;
G ---> ~<G> = GxG = <G>2 = <G + D<G> > = <G + qGG> = <G + C> ¬{<,=,>} G;
C ---> ~<C> = CxC = <C>2 = <C + D<C> > = <C + qCC> = <C + M> ¬{<,=,>} C;
M ---> ~<M> = MxM = <M>2 = <M + D<M> > = <M + qMM> = <M + K> ¬{<,=,>} M
-- wherein '--->' denotes the word "becomes", and wherein '~' denotes the operation / operator of dialectical, determinate, <<aufheben>> negation, and wherein the symbol '¬{<,=,>}' denotes the relation of ontological, heterogeneous, qualitative inequality, i.e., the relation of "non-quantitative inequality' -- of 'not less than and not equal to, and not greater than'.
Objective: Solve the following ‘sub-equation’, and
enter the result into the total ‘meta-equation’ solutions for t = 5+ --
K ---> ~<K> = KxK = <K>2 = <K + D<K> > = <K + qKK> = <K + ?> ¬{<,=,>} K.
The operations above, are, in
each case, special 'self-«aufheben»'
'self-conversion'/'self-negation'/-
'self-conservation'/'self-elevation'
operations.
The general NQ_ ‘Historical-Dialectical
Meta-Equation’ to be solved in this section is --
>-|-<t = <A>^(2^t).
-- and wherein a^b denotes "a raised to the power b", e.g., 2^3 = 2 "cubed" = 8.
This 'meta-model' addresses the 'meta-dynamical
meta-evolution' of 'meristemal' human-social relations of human-society self-production [including
of the [transitory] reproduction of these very human-social relations of society
self-production themselves, as their epoch’s 'meristemal', subsuming relations of production].
This ‘meta-model’ of that '''historical dialectic''' of '''the social relations of production''' is expressed compactly by the
symbol-complex '<A>^(2^t)' in the ideographical language of the NQ_ ‘dialectical ideography’.
Note that this 'meta-model' abstracts completely from the
'''other side''' of the historical development of the human social individual,
namely, from the growth of the '''social forces
of production''' [i.e., from the growth of the
human-social 'self-force' -- of the 'self-reflexive force', or, equally, the 'self-refluxive force' -- of human society’s 'self-production'; of human, 'meta-social'
society's human 'socio-onto-mass' 'self-productivity', or 'self-reproductivity']. The '''[psycho]historical dialectic''' of the growth of these "forces" is merely implicit in this 'meta-model
meta-equation', whereas the social relations
of production form its explicit focus. Among the Seldonian ‘Psychohistorical-Dialectical
Equations’, there is another ‘meta-equation’, whose ingredient equations have
the epochs of the growth of the social forces
of production as their explicit focus, and for which the
‘meta-evolution’ of the social relations
of production is merely implicit.
Nonetheless, the growth of the 'society-reproductive
forces'
remains the implicit driver of the entire movement posited by this model,
from A to G to C, to M to K, and beyond.
For example, the transition from G dominance to the emergence and
dominance of C
‘human socio-ontology’, and of the Commodity
barter-exchange praxis among tribal communities, requires a level of human
social Goods-productivity, which can sustain a sufficient
level of human population, and sufficiently dense, surfeit '''populations''' of
human-made Goods-artefacts, to the point that opportunities
for one tribal community to encounter and to barter its surplus, to-it-use[value]less Goods
to neighboring tribal communities, in exchange for their, complementary, Goods-surpluses,
becomes probable enough and frequent enough to be
reliable/practicable/sustainable.
For another example: it is clear that the most essential species of Capital, Industrial Capital, i.e., not qMM = K [which connotes, directly, only
the "antediluvian" species of Capital,
chiefly merchant's Capital and
usurers' Capital, originating
within the Money[-&-Commodity] circulation process, and arising before the Capital-relation has seized control
of, and reshaped, the society-[re-]production process, i.e., before the advent of 'Capital-ist' society proper], but rather qKMCGA, which signifies the '''real
subsumption''', by the Capital-relation,
of all of its predecessor social relations
of production ‘socio-ontology’ -- i.e., of M, C, G, and A -- requires the social
permeation of the wage labor relation,
and therefore also of the wage labor revenue, supporting the proletarian
working class, which in turn requires that the human society
hosting/characterized-by the Capital-relation
has attained a level of productivity/productive force such that each individual
worker is, on average, able to produce more than the value-equivalent of that
worker's daily subsistence-requirements during each day of work, so as to
produce the “surplus-value” basis for the other-classes-supporting revenues: profit of enterprise, rent of land, interest on
money-capital, governmental tax, etc.
Otherwise, there would be no potential surplus product to
serve as an objective basis for the very possibility of profit of enterprise,
hence of any 'epochally-sustainable' possibility of existence for Industrial Capital, or for a '''Capitalist society''' -- meaning a society whose
'meristemal'/predominant social relation
of production is the Capital-relation.
Marx, in the Grundrisse, or '''Foundation''', of his
dialectical, immanent critique of capitalist political economy, clarified the
natures of, and the interrelationship of, the
social forces of production and the
social relations of production, in connexion with the
total "pre-history" of the truly human species, as follows: "Productive
forces and social relationships
-- the
two different sides of the development of the
social individual -- appear to be, and are, only a means for capital, to enable it to produce
from its own cramped base. But in fact they are
the material conditions that will shatter this foundation." [David McLellan, editor, The
Grundrisse, Karl Marx, Harper & Row [NY: 1971], p. 143, emphases added
by F.E.D.].
For present purposes, for this section, we will not solve this Seldonian, social
relations ‘meta-equation’ --
>-|-<t = <A>^(2^t)
-- in bootstrap fashion, from A onward, as all ‘‘‘following
from’’’ this «arché»/ultimate ancestor social relations category, A, by ‘connotational entailment’
from the connotations of that «arché»
social relations
category/term itself, alone.
Instead, we will narrate and describe, rather than derive, the
“stipulated solution” of this ‘meta-equation’, as stated above, for all of its
epochs that belong to our historical past, for ‘meta-model’ epochs 0 through 4. Only then will we derive a solution, here, for epoch t = 5, the ‘meta-model’ epoch which
represents our present and our incipient future, the epoch in which the ‘‘‘real
subsumption’’’ of all priorly-arisen-and-still-extant social
relations of production, by the Capital-relation, has already arisen,
and in which the radically new social relation
of production herein named “the Generalized Equity-relation” is predicted to arise. We will also, for the most part, omit
narrations, and solutions, for the ‘partial synthesis’ or ‘‘‘hybrid’’’
categories/terms of this ‘meta-equation’, e.g., for qGA, or qKMCGA, etc., instead concentrating
mainly on narrating the stipulated solutions for the 1st, qAA = G, the 2nd, qGG = C, the 3rd, qCC = M, and the 4th, qMM = K, ‘self-hybrid’, ‘dialectical antithesis’
terms/categories, and on solving for the 5th “dialectical antithesis” term/social-relations category, which
will remain, until that solution, in the status of a dialectical-algebraic
“unknown”: qKK = ? =
X, wherein the symbol '=' denotes the relationship "is equal to by definition".
The [pre-]historical process of
human social formation; the historical self-progression of human-social formations; the 'meta-dynamical self-meta-evolution' of human society; the historical
succession of
qualitatively/‘socio-ontologically’
distinct, '''historically-specific''', 'merely-dynamical' human-social
dynamical systems of social relations
of production that form, together, what we term the 'diachronic meta-system' of human societies, and of their
net-expanding sequence of ‘human-social ontologies’, in terms of the NQ_ model of human-social 'non-ontostasis' described above -- i.e., of
human-social 'onto-dynamasis' -- '''looks''' to us as follows,
per the self-iteration of its «arché», A, through its epoch t = 4 [≈ 1 epoch-unit ‘behind’ our present] --
t >-|-<t Interpreted
Arithmetic [‘Socio-Ontological’,
Intensional-Intuitional, Connotational, Categorial Symbols]
0 >-|-<0 = <A>^(2^0) = A =
Stipulated origin / «arché»: Predation
/ direct or immediate Appropriation of the
raw or "not-humanly-refined" products of [principally extra-human/pre-human] nature; the foraging/scavenging/hunting/gathering human-social relations of production only, near the '''vanishing point''' of 'human-social' or 'meta-animal-social' economy back into its predecessor,
'animal-social' ecology, i.e.,
near the 'emergence point' from l into h;
1 >-|-<1 = <A>^2^1 = <A>^2 = Ax<A> = ~<A> = <A ~+~ G> =
Predations + Productions;
2 >-|-<2 = <A>^2^2 = <A + G>^2 = <A + G>x<A + G>
= <<A + G + qGA>
~+~ C>;
3 >-|-<3 = <A>^2^3 = <A + G + qGA + C>^2 =
<<A + G + qGA + C + qCA + qCG + qCGA> ~+~ M>;
4 >-|-<4 = <A>^2^4 = <<A + G + qGA + C + qCA + qCG + qCGA> ~+~ M>^2 =
<<A + G + qGA + C + qCA + qCG +
qCGA + M qMA + qMG + qMGA + qMC + qMCA + qMCG + qMCGA > ~+~ K >
-- wherein '~+~', formally, denotationally equivalent to just '+', emphasizes, 'connotationally', the qualitative, heterogeneous, and supplementary-oppositional addition here involved.
Commentary on the
Reconstructive Stipulated Solution Expressed Ideographically Above.
Historically Generic
Commentary. A Story of the Historical
Labor of the Self-Birthing,
'Self-Delivery', and Self-«Bildung» / Self-Formation of Humanity. The '''story''' that this
'meta-model' is telling is one of the self-expansion of the social-relations-ontology, and thus of the very activities-ontology/praxis-ontology, of human society.
It encompasses, connotatively,
key aspects of the extra-social, «anti-physis»/«physis»
exchange/interchange, as well as of the intra-«anti-physis», i.e., the intra-social exchange aspects of the
total history of human praxis.
This 'socio-onto-dynamasis' process involves the quantitative
self-expansion and 'self-densification' of the '[meta-]monadic populations' of the leading
'socio-onto', or 'socio-ontological category' of human social praxis, within
each given epoch of that ‘social ontology’.
This quantitative self-expansion
and 'self-densification' eventually bring about a
critical 'socio-ontic density'.
As each such '''critical-onto-mass-density''' threshold of such 'self-densification' is crossed, this crossing brings
about the ‘self-densified’ 'self-surroundment', 'self-environment', 'self-confrontation', and 'self-interaction' or 'monadic intra-action'/mutual
interaction of the «monads» of the leading-edge 'ontic population' of such
social relations / social activities, up to its moment of 'self-reflexion' and 'self-involution' [cf. Chardin].
The resulting crisis creates new emergent such
'socio-ontos', or ‘socio-ontological categories’, triggering a
change-in-social-relations-of-production 'social revolution', due to this irruption of new
kinds
of social relations of production, i.e., a 'social meta-evolution', or 'meta-system transition' [cf. Turchin], and a 'self-transcendence' [cf. Jantsch] of the extant
human social system of human-social relations of human-societal [including
of human-social relations of production] self-reproduction.
This story models that sequence
of ‘historical
species’
of human society
-- of “historically
specific”
modes of human-social
reproduction;
of human-social 'meta-evolutionary epochs' -- as the 'onto-meta-dynamics' of a singular
historical/diachronic 'meta-system' -- that is, of a
progressive-cumulative [«aufheben»]
self-driven progression of
human-social
systems -- of human-social reproduction;
of human-society-self-reproduction.
It models that self-progression
as a human 'socio-onto-dynamasis'; as a net-expanding historical accumulation/'cumulum' of
ever-richer, ever-more-elevated/«aufheben»-involuted
‘social relations of production ontology’, that Marx adumbrated in his famous
Preface to his debut book on the dialectical, immanent critique of ideology in
the “science” of economics, A Contribution to the Critique of Political Economy.
Historically Specific
Commentary,
Epoch t =
0. Asserting Ontological Possibility for
the «arché» category
of social relations of production ontology. We begin our ideographical
story of the ‘meta-evolution’ of the human-social relations of production, or
of the “forms of [human-social] intercourse” [cf. Marx, Engels, The
German Ideology], at its historical beginning, or ‘pre-beginning’, with the mode of
“production” known as predation, as foraging and scavenging, or as “hunting and
gathering” --
The historically specific, Epoch t = 0 equation that is contained in the historically generic ‘meta-equation’, is:
>-|-<0 = <A>^(2^0) = <A>^1 = A.
This long 0th epoch, epoch t =
0, per the historically generic ‘meta-equation’ of social relations of production
‘meta-evolution’ that is to be narrated herein, is described simply by its
constituent historically specific equation >-|-<0 = A.
This equation is simply the sole
and singular assertion of the ontological possibility of the «arché», dialectical thesis
category of the historical progression of ‘socio-ontological’ categories of
social relations of production described by our ‘meta-equation’.
It is, not the existential, but the ‘possibilial’ assertion of category A, which connotes the category of
the non-production
or pre-production
prehistory of humanity, the category of the vanishing point of human-social
production, the category of mere, “raw”, Appropriation of the productions of pre-human /
extra-human Nature,
by the actions of primitive proto-humanoids, continuing for millennia before
the irruption, into possibility, of the next, historical-dialectical antithesis category, in this dialectical progression of
possible categories of the human-social relations
of production.
From the connotations of this, dialectical thesis,
category, all subsequent progressions of categories follow.
That is, they “follow” in our ‘contra-Boolean’, ‘connotational
entailment’, intensional, ‘algorithmic-heuristic’, intuitive, dialectical-logical sense.
TO BE CONTINUED.
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