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Paolo wrote:
>>> Jerry, if you recall, Marx opens the chapter saying he is
going to pursue a purely mathematical analysis. So let us be purely mathematical
and impose the following possibility:
s´ variable v constant C variable through variations in c You are right to mention the working day, intensity of labor and wages. Yet we do not need to maintain them constant. In fact, since v is constant s´ can vary only if the length of the working day, the intensity of labor or the wages vary. But once we allow for anyone of these factors determining the rate of surplus value to vary we have the subcase stated above whose formula is: l1 = (m´1/m´)(C/C1)l, that is, the rate of profit modified will depend on the ratio between the modified and the previous rate of surplus value and on the ratio between C and C1. This formula did not appear before! Should it not be considered as an independent case? <<< Hi again Paolo. You
raise different issues:
I.) you ask: why didn't Marx consider
the case of v constant and s and C
variable in Vol. 3, Ch. 3?
The above question is, of course, related
to another question you ask:
_should_ he have considered that as an independent case in Vol. 3,
Ch. 3?
I consider it highly unlikely that the
overlooked the case you mention
"by mistake". There
are other possibilities: to begin with, note the
footnote at the end of this chapter by
Engels in which he points out that
the "manuscript also contains further and
very detailed calculations....
I have refrained from reproducing this
material, since it is of little
importance for the immediate aim of this
book....(Penguin ed., p. 162).
So one line of inquiry might involve a
re-look at the original drafts to
determine _what exactly_ was not
included for publication from this
chapter. I think, though, that one
should also ask whether he didn't
discuss the sub-case you mention because he
felt that he had
already discussed that subject
elsewhere. He seems to say as much
early on in Ch. 3: "The same applies
to the remaining three factors:
*length of working day, intensity of
labour, and wages.* Their influence
on the mass and rate of surplus-value was
developed in detail in
Volume 1 [Chapter 17]...." (Ibid, p.
143). There is also an indication
that at least one of these possibilities
would be explored more concretely
in a separate
book to be written _after Capital_: thus, in Vol. 3, Ch.
14,
Section 3 he indicated that a "reduction of
wages below their value ...
"has its place in an account of
competition, which is not dealt with in
this work" (Ibid, p.
342).
II.) You ask me to respond to the formula
that you propose above.
Before I do that, I would like to see that
formula developed more
and, in particular, made symbolically more
consistent with the
other formulas in that
chapter.
[btw, I assume that the beginning of
that formula was a typo and that
where you wrote '1' (upper-case)
you intended to write
"p'".]
In solidarity,
Jerry
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