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Gunnar,
I just took a look at Schumpeter's
final book, his masterly 1260
page History of Economic Analysis. Looking in the index
I found
"Logic" as an entry on page 27 and pp. 448-454. The
entry on p.
27, part of the introduction to the book reads:
"The former [logic] claims our
attention because economists
have made a not inconsiderable contribution to it but
especially
because of their propensity to dogmatize and to quarrel
about
'method': economists who enjoy this sport are apt to be
influenced by the writings of the logicians of their time
which
therefore, though more apparently than really, gain some
influence,
legitimate or otherwise, upon our work."
That is it for there, nothing
about economics being a branch
of logic.
The later pages discuss the work
of particular economists
who specifically worried about logic, with the main figures
being
William Whewell, John Stuart Mill, and Karl Marx.
He spends most
of his time talking about Mill, especially his controversy
with Comte
over how economics should be done. Schumpeter concludes
that
Mill does an excellent job of describing and defending how
economists use the "Concrete Deductive Method" and
the
"Inverse Deductive or Historical Method," and especially (in
italics)
"the necessity of studying actual human behavior in all its
local and
temporal varieties."
However, I find nothing in this
set of pages either that suggests
anything along the lines of Schumpeter desiring for economics
to
"become a branch of logic."
Barkley Rosser
----- Original Message -----
Sent: Wednesday, October 08, 2003 3:19
PM
Subject: Re: The Widow's Cruse
Bill:
A brief comment and a question.
Schumpeter, who chose not to
waste his time attempting to drive the point home to his colleagues, was
confident that economics would eventually be recognized as a BRANCH OF
LOGIC.
In a memorial article on Schumpeter, Paul A.
Samuelson expressed his surprise at this notion - so you are not alone in not
getting it.
What does Goedel have to do with Y = C +
I?
Gunnar
----- Original Message -----
Sent: Wednesday, October 08, 2003 10:46
AM
Subject: [gang8] Re: The Widow's
Cruse
***|Paul has yet to respond. At issue is the distinction between analytical and empirical economics as practiced Keynes and PKT economists, respectively. In one case, the precursor of the Y = C + I proposition entails a logical absurdity, which is disregarded in the other case. Isn't that so, Paul? Gunnar|***
Gunnar, you are confusing economic models with formal logic or
mathematics. No model is "true" by the standards of formal logic
or mathematics. They are generalizations or simplifications that
help us to understand or heuristic aids in teaching concepts.
Moreover, as Goedel tells us, at some level of extrapolation every
formal logical or mathematical structure beyond the trivial becomes
self- contradictory or incomplete. That was perhaps the most
important discovery of the twentieth century.
I think your approach is therefore an intellectual dead-end and a
waste of time. It has no more value to us except recreationally,
if we have nothing better to do, like dominoes.
In other words, you are playing a game with us.
--------- Original Message ---------
| DATE: Tue, 7 Oct 2003 19:55:57 |
| From: Gunnar Tómasson
<gunnar.tomasson@xxxxxxxxxxx> |
| To: <pkt@xxxxxxxxxxxxxxxx> |
| Cc: "Gang8"
<gang8@xxxxxxxxxxxxxxx> |
On
October 2, I posted the below message to PKT.
Paul
Davidson responded off-list as follows:
Gunnar
did you ever note that Keynes specifically changed his definition in
the GT from that used in the TM?
To which I replied:
Yes.
There, the Widow's
Cruse is embedded in Y = C + I.
****
Paul has yet to respond.
At issue is the distinction
between analytical and empirical economics as practiced
Keynes and PKT economists, respectively.
In one case, the precursor of the
Y = C + I proposition entails a logical absurdity, which is disregarded in
the other case.
Isn't that so, Paul?
Gunnar
Paul:
Further
to my message of yesterday's date -
I will check out Ch. 2
of your book at the IMF library tomorrow.
- I have now read the
chapter.
Briefly,
its contents are reflected in the chapter heading, 'Keynes's principle of
effective demand' -
there is NOTHING there on "the Keynes theory of value".
I also
used the occasion to leaf through Vol. I of 'A Treatise on Money'
and, in doing so, took special note of the following two passages:
1. "(1) Income. - We propose to mean
identically the same thing by the three expressions: (1) the
community's money-income; (2) the earnings of the factors of
production; and (3) the cost of production; and we reserve
the term profits for the difference between the cost of
production of the current output and its actual sale-proceeds, so that
profits are not part of the community's income as thus defined."
(MacMillan and Co., London, 1950, p. 123)
In turn, Keynes identified NET Investment as the source of
Profits.
2. "Human effort and human consumption are the ultimate
matters from which alone economic transactions are capable of deriving any
significance; and all other forms of expenditure only acquire importance
from their having some relationship, sooner or later, to the effort of
producers or to the expenditure of consumers." (p. 134)
Whence it follows that Investment is a pen-ultimate aspect
of a production process whose ultimate object is Consumption -
that is to say, Investment in any given period translates into Consumption
in some future period.
And, by including Profits/NET Investment as part of the community's
disposable purchasing power in any given period, Keynes ended up with an
analytical mess of the first order - the fabled Widow's Cruse:
"There is one peculiarity of profits (or losses) which we may note
in passing, because it is one of the reasons why it is necessary to
segregate them from income proper, as a category apart. If
entrepreneurs choose to spend a portion of their profits on consumption
(and there is, of course, nothing to prevent them from doing this),
the effect is to increase the profit on the sale of liquid
consumption-goods by an amount exactly equal to the amount of profits
which have been thus expended. This follows from our definitions,
because such expenditure constitutes a diminution of saving, and therefore
an increse in the difference between I' and S. Thus, however much of
their profits entrepreneurs spend on consumption, the increment of wealth
belonging to entrepreneurs remains the same as before. Thus profits,
as a source of capital increment for entrepreneur's, are a widow's cruse
which remains undepleted however much of them may be devoted to riotous
living. When, on the other hand, entrepreneurs are making losses,
and seek to recoup these losses by curtailing their normal expenditure on
consumption, i.e. by saving more, the cruse becomes a Danaid jar
which can never be filled up; for the effect of this reduced expenditure
is to inflict on the producers of consumption-goods a loss of
an equal amount. Thus the diminution of their wealth, as a
class, is as great, in spite of their savings, as it was before." (p.
139)
Keynes' confusion in this respect carried over into the General
Theory.
For replacement of Entrepreneurial Profits in the amount of NET
Investment by the concept of Expected Profits in the amount of
"SOMETHING" (Samuelson's phrase in Foundations of Economic
Analysis, p. 87) cannot drive the Widow's Cruse out of business - for
the Widow's Cruse was born of the misguided attempt by Keynes to integrate
Entrepreneurial Profits and Income in a unitary scheme of
monetary analysis.
You insisted the other day that Keynes had been "consistent" in his
reasoning throughout the General Theory.
Insofar as the Widow's Cruse is concerned, the
"consistency" consisted in perpetuating gross analytical
error.
Gunnar
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