In Capital III,
Marx
Revised/Further-
Concretized
his
Profit-Rate
Model.
Part 6.:
Karl Seldon on Karl Marx Series.
GLOBAL STRATEGIC HYPOTHESES.
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, Karl Seldon’s commentaries on the
world-historic breakthrough work of Karl Marx.
This 6th text in this by now long-running
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
–
“In volume three of Marx’s “Capital:
A Critique of Political Economy”, in Part III thereof, “The
Law of the Tendency of the Rate of Profit to Fall”, at the end of Chapter
XIII , “The Law as Such”, Marx revises, or rather, further concretizes,
his profit-rate metric and model, bringing it a step closer to “the surface of
[capitalist] society” [Marx].”
“Marx wrote: “The rate of profit must be calculated by measuring the mass of produced and realized surplus-value not only in relation to the consumed portion of capital, reappearing in the commodities [K.S., e.g., the cd portion of Marx’s “c”], but also to this part plus that portion* of unconsumed but applied capital which continues to operate in production [K.S.: let’s call this ‘f’, for the remaining, as yet wear-and-tear undepreciated value of “fixed capital”]”.”**
“At this point in Marx’s argument, the profit-rate
ratio is no longer just (s/(c + v)),
but has developed/ ‘thought-concretized’ to s/(f + c + v).”
“Thus, at this stage in his systematic-dialectical
exposition of the critiqued categories of classical capitalist “political
economy”, Marx is no longer abstracting from the reality of “fixed capital”.”
“This ratio is not a question of “mixing
up flows with stocks”, with f denoting a “static
stock” of capital-value, and (c + v) denoting a “flow” of capital value.
In any given round of production, a certain value of the wear-and-tear-still-undepreciated
fixed capital “stock”, and the [“flow”] part of that fixed capital-value that
was wear-and-tear-depreciated in that specific round of production, cd, as a part of c as whole, as well as the value of the wages paid out to the
workers whose labor-power was consumed in that round of production, v, need to be considered as the components of the total
input that caused/enabled the
commodity-capital-value output of that round of production. They need to be combined, and can be added
together, as they are all commensurable in value-terms, i.e., as
capital-values.”
“The principle informing this reformed form of profit-rate metric is this: all the capital-value, (f + c +v), that causally participates in the production/output of commodities and of their value,
(c + v + s),
in a given round of production [including
their component surplus-value, s] must be included in the denominator, and
measured against a numerator which represents the gain of value result
of that round of production, the gross gain, s, or, better, the net gain, s’.”
“The profit-rate ratio is to be a “gain ratio”, analogous to an “amplification factor”, a ‘value-effect divided by its value-cause ratio’, measuring the upper bound of the potential rate of accumulation of capital-value for that round of production. It is to be an ‘Output-over-Input ratio’. If I denotes the capital-value Input to the production process, and O its capital-value Output, then the ratio (O/I) is the gross gain-rate ratio, and
((O – I)/I)
is the net gain-rate ratio. Both are ‘causal gain-rate ratios’.”
“In terms of the value-components of Marx’s model of commodity value,
(c + v + s)
[as yet unadjusted for “prices of production”], in Marx’s earlier-in-the-exposition, more abstract profit-rate metric [abstracting from the involvement of fixed capital], the
s/(c + v)
metric, with O = s taken as the, commodity-capital, value-Output of the commodity production process, and with
I = (c + v)
taken as the capital-value Input to that commodity-capital production
process, Marx’s profit-rate metric arises as [commodity-]capital-value-output, minus [commodity-]capital-value-input, quantity divided by [commodity-]capital-value-input –
((c + v + s) – ( c + v))/( c + v) =
(s)/( c + v).”
“To reformulate the above ratio-metric in terms of Marx’s two other key ratios, namely “the rate of exploitation of labor”, (s/v), and the “organic composition of capital”, (c/v), we can multiply the ratio above by 1, in the peculiar form of
((1/v)/(1/v)).
But note that
this ratio, to produce a defined multiplicand, presupposes that v is never equal to 0:
((1/v)/(1/v)) x (s/(c + v)) =
((s/v)/( (c/v) + 1 )).”
“The, now a component-ratio of this ‘ratio of ratios’,
(c/v), is an imperfect index/proxy for the level of the
social forces of production. The
component-ratio (s/v) is an imperfect proxy for the resulting rate,
increasingly, of “relative surplus-value” [Marx], as opposed to “absolute surplus-value” [Marx]”
“With the concretization to s/(f + c + v), the above transformation produces, instead, the
ratio –
((s/v)/( (f/v) + (c/v) + 1))
– implying a more ‘thought-concrete’,
less-imperfect version of the “organic composition of capital” to be, instead of
just (c/v), the ratio (f + c)/v.”
“Note that capitalists’ measure the, ‘thought-concrete’, “surface of society” profit rate, typically, as “ROI”: “Return On
Investment”, R/I, but in an
ideological and delusory way. They do not
include labor-costs, wages, v, as part of
their Investment. They deny that human labor is a cause of value and of profit. They denigrate
labor costs as a mere “expense of doing business”, along with raw materials,
auxiliary materials, electrical power expenses, rent expense, interest expense, taxes
expense, etc. They deny human labor as a
directly causal agency in the creation of their “Returns”. Their
profit-rate metric, in terms of Marx’s variables, is something like (s/f).”
“There is much discussion today about our recent
accelerated progress in the development of the social forces of production, and
of “fixed capital”, in the form of AI Android Robots, and the potential of such
robots to replace human workers.”
“Elon Musk, and others, have even speculated about a
tendency toward a complete replacement, in social production, of
the human workforce, by such robots.”
“Were that to become possible, we would experience what
we call ‘The Elon Musk Singularity’ –
((s/v)/( (f/v) + (c/v) + 1)) -->
((s/0)/( (f/0) + (c/0) + 1)) "="
((¥)/((¥) + (¥) + 1)) "="
(¥/¥): “indeterminate”/”undefined”.”
“In future discussions, we will see how such a ‘robotization
of production’ does not, as some today are wont to say,
invalidate Marx’s “labor theory of value”.”
*[Marx
typically decomposes his “constant
capital” category into three sub-categories – (1) wear-and-tear depreciation of fixed capital value, plus (2) the value
of raw materials consumed in producing the commodity output,
plus (3) the value of “auxiliary
materials”, consumed in a given round of the process of that production, which can be
conveniently notated as cd,
cm, and ca, respectively, and such that –
**[p. 229 in the New World paperback edition of 1967.].
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Seldonian insights, and to read and/or download, free
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¡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.
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