Re: (OPE-L) Re: Subcase missing on Chapter 3, Vol III

[Francisco Paulo Cipolla <cipolla@xxxxxxx>]

gerald_a_levy wrote:

The third case under "'s' constant'" is:  "s' and v constant, c and
therefore also C variable" (Penguin ed., p. 152-153; International ed.,
pp. 59-60).   Subject to the prior assumptions in the chapter (including
the assumptions that the length of the working day, the intensity of labor,
and wages remain constant) the case where v is constant implies that s' is
constant hence the 'v constant' case could be subsumed under the
's constant' section.

Isn't this the 'missing' subcase that you were wondering about? Or,
is there some aspect to your question that I have missed?

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 hrough variations in c
You are right to mention the working day, intensity of labor and wages.
Yet we do not need to mantain them constant. In fact, since v is constant
s´ can vary only if the lenght 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 valuae 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?
Paulo