|
Further to my submission that partial
derivative analysis is logically inadmissible in any and all economic
models, two additional reasons for questioning on epistemological grounds the
analytical coherence of much of modern economic theorizing are briefly addressed
in the extract below from a 1980s working paper of mine.
Gunnar
************
(i)
Modern
"Keynesians" Keynes
admittedly served academic economists some "inconsistent hotch-potch" in the General Theory. It remains to be explained why so many
of them have revered it and made it serve so long as a veritable "widow's cruse"
for economic science. The
first part of the answer, the author
would submit, lies in the code of academic scholarship by which the modern
"Keynesian" tradition--that of the self-styled "mainstream
macroeconomics--abides. Samuelson
expressed a basic tenet of that code in 1939 in these
words: "From
a strictly logical standpoint, controversy over terminology is sterile; the
flexible mind will adopt the terminology of his opponent of the moment."
[90]
Bentham took a different view of the subject matter: "Till objects are
distinguished, they cannot be arranged." [91] Thus, one cannot do geometry until
the basic concepts of analytic geometry have been defined in a manner that is
consistent, coherent, and complete.
Similar considerations apply to the concepts of "saving" and
"investment," with respect to which Samuelson made his statement. Even now, these concepts remain in a
state of disarray insofar as analytical economics is
concerned.
A second part of the answer
relates to the proper role of mathematics in economic science in its adolescent
stage, when key concepts lack coherent definition and the science is plagued by
pseudo-concepts such as that of the "multiplier". "Contrary
to the impression commonly held," Samuelson also concluded in 1939,
"mathematical methods properly employed, far from making economic theory more
abstract, actually serve as a powerful liberating device enabling the
entertainment and analysis of ever more realistic and complicated hypotheses."
[92] This
conclusion could not be contested if "properly employed" implied that
mathematical methods should not be
applied to the analysis of incoherent concepts. Modern
"Keynesians", however, have not so construed the meaning of these qualifying
words. Therefore, mathematical
methods have only served to transfer incoherence from the premises of mainstream
macroeconomics to its super-structure. Bentham
had thoughts on this subject matter as on most others relating to the practice
of economic science: "I
have by me a large quarto of mathematics," he said, "written by a mathematician
and politician of deserved eminence, in which the utility of numbers, as a
security for good judicature, is assured.
The conclusions of mathematicians, though always mathematically just, are
not unfrequently physically false: that is, they would be true if things were
not as they are. Some necessary
element is omitted to be taken into account: and thus the only effect of the
operation is to mislead." [93] Mainstream
theorists have not let the constraints on the proper role of mathematics in
economic science represented by epistemology slow its ascendancy in the postwar
period. Thus,
Samuelson's Foundations of Economic
Analysis has an elegant mathematical representation of the model of the General Theory, its "inconsistent
hotch-potch" character
notwithstanding. |
- Super-Bear-, (continued)
- Super-Bear-, Glenn Hautly Mon 03 Feb 2003, 00:00 GMT
- Re: Super-Bear, Gary Santos Mon 03 Feb 2003, 00:01 GMT
- Re: Super-Bear, Gary Santos Sun 02 Feb 2003, 16:39 GMT
- Fiat Money, Gov't Debt and Taxes, John Gelles Sun 02 Feb 2003, 04:18 GMT
- Modern Economics - Concepts and Methods, Gunnar Tomasson Sun 02 Feb 2003, 03:24 GMT
- financing, funding, etc, Bill Mitchell Sun 02 Feb 2003, 01:49 GMT
- <Possible follow-up(s)>
- Re: financing, funding, etc, pdavidso Sun 02 Feb 2003, 16:39 GMT
- Re: financing, funding, etc, Warren Mosler Mon 03 Feb 2003, 03:50 GMT
- Re: financing, funding, etc, pdavidso Mon 03 Feb 2003, 15:38 GMT