From: Paul Cockshott (paul@COCKSHOTT.COM)
Date: Tue Jun 10 2003 - 17:50:42 EDT
Paul Bullock wrote: this is the difference between us in the understanding of Marx's method, value is a social relation, the price is the quantitative expression of a form of appearance of value, as a thing. How do you measure the 'distance' between a relation and its 'thingified' expression, between quality and quantity? 1. Is it appropriate to speak of value as quality rather than quantity - I dont think so since Marx constantly deals with it as a quantitative concept - ideas like rate of surplus value would make no sense unless it is quantitative. It is defined in terms of a quantity of socially necessary labour. There is nothing mysterious about that, it is in principle measurable given enough information about the conditions of production. 2. Which is a relation? Is it not exchange value? This is a relation between two commodities. Price as a generalisation of exchange value is also a relation, specifically an equivalence relation between a commodity and money. At the level of the national i/o tables what you have is a relation between the aggregate output of an industry and a quantity of money. If we abstract from the output itself we are left with a vector of money. 3. If you invert the i/o matrix you can extract the direct and indirect labour required to produce each industries output, this is a vector of labour hours. 4. Given two vectors one can correlate them to get a measure of similarity, or alternatively normalise them and measure the cosine of the angle between them using the dot product. This measures the distances between the system of prices and the system of values. 5. More generally what is a relation? A binary relation is a set of pairs such that some predicate holds. The exchange relation analysed in vol 1 of capital with its relative and equivalent forms is just such a set of pairs. Extending beyond binary relations, a relation is a set of tuples such that some predicat is true, or alternatively we can take the extension of the set to define the predicate. 6. When you say that value is a relation what do you mean? What order of relation is it, what are the domains in the relation? One response would be to say that it is a binary relation with the domains being quantities of a product in the first case and quantities of labour in the second case. 7. This relation is induced by a more complex structure which is not itself a relation: namely the aggregate technical conditions of production, and the social conditions under which these are operated. > Paul, > > From: Paul Cockshott > > To: OPE-L@SUS.CSUCHICO.EDU > Sent: Monday, June 09, 2003 9:50 AM > Subject: Re: The increasing transformation problem > Paul Bullock wrote: > > > Your idea that there is a 'distance' between values and > > prices cannot apply to any factually observable realm... > > since values are only expressed in market prices, which > > themselves can be explained as being 'regulated' by prices > > of production. > > This is simply wrong. With the advent of I/O tables one can > work > back to get estimates of values and compare these with > prices. > There is a lot of econometric literature doing this. > > > > > -- > Paul Cockshott > Dept Computing Science > University of Glasgow > > > > 0141 330 3125 > > >
This archive was generated by hypermail 2.1.5 : Fri Jun 13 2003 - 00:00:00 EDT