Re: [ox-en] Re: What is value?
- From: Paul Cockshott <wpc dcs.gla.ac.uk>
- Date: Thu, 27 Nov 2008 16:48:40 +0000
graham wrote:
Paul Cockshott wrote:
I would say that exchange value is a quadernary social relation , but
that value
is a a potential or scalar field. A scalar field is arguably a binary
relation, but
this binary relation is a projection subspace of the higher order
space given
by the technology matrix.
Oof. I don't think that is going to be immediately intelligible even
to someone who's much happier with maths than I am.
Maybe you could explain:
- In what way is exchange value a *quadernary* social relation; what
are the 4 things it relates to?
It is a relation of the form
+--------+--------+----------+-------+
|Amount a| sort a | Amount b | sort b|
+--------+--------+----------+-------+
| 1 | coffee | 2 | cokes |
+--------+--------+----------+-------+
| 20 | coffee | 5 | pizza |
+--------+--------+----------+-------+
| 11 | toffee | 1 |tobler |
+--------+--------+----------+-------+
- What do the axes of the higher dimensional technology space consist of?
They are all the distinct products along one axis and all the
technologies to produce products along the other.
This notation was introduced by von Neumann in the late 20s, but was
also being pioneered by GOSPLAN at the same time
- What determines the particular projection of the technology space on
the value space? (is there no social mediation here?)
Kantorovich's claim is that it can be found by a process of linear
optimisation. Prior to that Remak and Von Neumann has proved
that there is a solution but not come up with an algorithm for it.
- what does it mean to say that 'value is a potential or scalar
field'? (To my non-mathematical ears that sounds like an odd mixture
of physics and mathematical usages of 'field').
A potential associates a real number with every point in some set.
Consider the set to be the set of all bundles of goods. Value associates
a real number to all members of this set.
Cheers
Graham
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_________________________________
Web-Site: http://www.oekonux.org/
Organization: http://www.oekonux.de/projekt/
Contact: projekt oekonux.de