From: Gerald A. Levy (Gerald_A_Levy@MSN.COM)
Date: Mon Sep 20 2004 - 09:13:00 EDT
Hi Paul C. I expect to be busy later today so I'm going to just jump in and ask a couple of questions about your paper while I have a few minutes: 1) You suggest that it is possible to posit an "underlying linear vector space of which commodity space is a representation" (p. 3) and "*unlike commodity space itself*, this space, is a true vector whose evolution can be modeled by the application of linear operators" (Ibid, emphasis added, JL). This is repeated in the last sentence of the paper where you write that commodity amplitude space "*unlike commodity space*, is a linear vector space within which angles of rotation have a clear meaning" (p. 6, emphasis again added, JL). I am confused by this. a) If commodity "space" is *not* a linear space, *why* is it reasonable to suggest that the "underlying" representation can be linear? b) If "commodity space" is non-linear shouldn't methods of measurement which take into account this non-linearity be utilized? c) are there any tests that you can use which use non-linear methods which can be applied to the data to confirm or not confirm the empirical propositions about the closeness of market prices to vertically integrated labour values? 2) For those who wish to do further research in this area, what do you identify as the major directions requiring further research? In solidarity, Jerry http://ricardo.ecn.wfu.edu/ope/seminar/id18.htm
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