After our presentation of the paradigmatic interpretation of theory it should be clear in the mind of the reader that a scientific system is not simply a formal framework where formal models find their right place. Basic or fundamental assumptions, indispensable for the existence of a theoretical system, are in themselves of an informal character. The residual categories that represent them within the formal system are open rather than closed concepts. The shade of formalism that accrues to the assumptions comes only from the fact that they govern formal models and must figure as "token" data for the logical closure of the system. No language is entirely literal since it interacts with the truths it tries to express. Not even logic or mathematics is completely literal. If their axioms are sophisticated enough then we never know exactly what they mean. "If we knew, we could avoid the possibility of asserting in one axiom what another axiom denies"–and we have no warranty that this is possible (POLANYI 64, p. 259). No language is watertight, and every line of reasoning must draw from an inarticulate background of non formal and ultimately unformalizable knowledge. The non realization of this fundamental truth is precisely the concurrent mistake of apriorism and positivism. Our language is neither literal nor unidimensional, or capable of a complete and exhaustive formal development.
One can take two authors as good representatives of these positions: M. Friedman and L. Von Mises. The former sees economic theory as only a conventional filing system for the ordering of empirical material (FRIEDMAN 53, p. 7). The latter sees it as a priori knowledge, a branch of praxeology or the theory of human action, which happens to be applicable or relevant in relation to some historical instances. Says he:
Praxeology is a priori. It starts from the a priori category of action and develops out of it all that it contains. For practical reasons praxeology does not as a rule pay much attention to those problems that are of no use for the study of the reality of man's action, but restricts its work to those problems that are necessary for the elucidation of what is going on in reality. . . . This does not alter the purely aprioristic character of praxeology. It merely circumscribes the field that the individual praxeologists customarily choose for their work. . . . (MISES 62, p. 41)
I think that it is possible to argue against each of these authors reasoning from his own point of view. It is possible to show that their positions are capable of being "stretched-out" to cover much ground of the opponent's conception. Thus, one could be "more empiricist than Friedman" and maintain that our dependence on experience is so great that we would be without a language (without a filing system) but for the creative intervention of experience: in ultimate analysis only experience can originate a language. One could also be "more theoretical than Mises": one could maintain that our dependence on theory is such that we would be unable even to identify the relevant facts for the application of praxeology were it not for the circumstance that theory itself (language) already gives those facts to us. The proof of our first assertion was already given in our discussion of Verstehen. Substantiation of the second one may require some more words.
The argument for the "stretching-out" of praxeology is connected with the problem of the compatibility of the a priori conception with the possibility of application of a praxeological theorem. I put forward the dilemma that if the theorem is a priori in the unidimensional sense in which praxeology seems to be intended, then the theory as represented in the theorem is inapplicable. If it is not a priori in that sense then praxeology is already defeated. The difficulty I see here has to do with the description of the (empirical) conditions that must form part of the theorem in order to be applicable. Even if the theorem is a priori it has to mention the factual situation under which one is saying that the theorem is valid. But this mention has to be made in a language and the language one has to use must not be a purely formal NOTE 1 one. If it were, empirical conditions would be inexpressible in the language and the theorem, without the mention of those conditions, would be inapplicable. Again, an empirical language capable of mentioning the conditions of application of the theorem would have to have been learned in close intercourse with experience. Furthermore, that experience should have occurred in precisely the area where praxeology is claiming to have something to say. Therefore, we are led to the conclusion that the application of a praxeological theorem supposes already the (empirically acquired) economic language and, by implication, (empirical) economic knowledge. The historical origin and development of praxeology (or marginal-utility theory) lend much strength to the belief that this is precisely the case. It has appeared at the very end of a long and complex evolution of concepts and theory and not at the beginning of it. And one should have expected the latter were the system of praxeology really an unidimensional, literal theoretical construction. One could here reply that historical order needs not to coincide with the logical order; it is true, and I do not consider the argument as a principal or substantial one. But it is difficult to deny that it lends force to the main reasoning, that is, to the dilemma of inapplicability of a pure praxeological theorem.
I will present in the rest of this chapter a concrete analysis of a considerable part of a praxeological system (ROTHBARD 62). I will try to further my case as to the invalidity of the belief that, as logical inference goes, the system is a literal, strictly lineal, or waterproof one. NOTE 2
Before entering that analysis, I want to call the attention of the reader to an attack on contemporary logic which is very interesting. It is found in the introduction to Rothbard's book together with a defense of the verbal (less formal) logic of the past. It is interesting because one could think that with the help of a less rigorous logic it might result possible to "formally deduce" praxeological theorems, using nothing but the praxeological axioms or premises. Although the discussion which is to follow will be conducted "with the weapons chosen by the adversary" and I will refrain from using any esoteric formula of mathematical logic, I think it necessary not to let these concepts pass without at least a perfunctory refutation. Says Rothbard:
It is the great quality of verbal propositions that each one is meaningful. On the other hand, algebraic or logical symbols, as used in logistics, are not in themselves meaningful. Praxeology asserts the action axiom as true, and from this (together with a few empirical axioms such as the existence of a variety of resources and individuals) are deduced, by the rules of logical inference, all the propositions of economics, each one of which is verbal and meaningful. . . . Logistics, therefore, is far more suited to the physical sciences, where, in contrast to the science of human action, the conclusions rather than the axioms are known. . . . (ROTHBARD 62, p. 65).
It is just not true that the propositions of traditional logic are, all of them, directly or semantically meaningful. What about "S-P"? Moreover, if the logical aspect of a proposition is what is being considered, even in traditional logic, the proposition is not taken as semantically meaningful but rather as a token of some formal structure of general validity. It is clear that when one studies "verbal logic" one is not interested in the mortality of Socrates, even if constantly using the phrase "Socrates is mortal". On the other hand, "logistic" propositions are always meaningful in the sense of requiring the full cooperation of non formal rules. The rules are explicit rather than implicit, and this seems to be a big difference between the two logics, to the clear advantage of symbolic logic. But logical propositions of the new garb are also meaningful in the sense of the professional identification referred to before. The trained logician knows at each step what he is doing, even if the scholarly presentation of the matter, for example in a textbook, requires that he pretends to ignore it. It is also inexact that the physical and the social sciences must differ from each other in a parallel fashion, one being deduction from not-known-to-be-true hypotheses and the other from evident propositions. The demonstration of this could, in a way, follow the same line as the previous argument. More radically, that demonstration is connected with all that has been said in this study; very especially with what we are about to say in criticism of the praxeological system.
The following is our selection of statements from Rothbard's reasoning: NOTE 3
This, I consider, is the basic axiom or fundamental praxeological postulate. If now we ask what its logical status is, one could try for one of these: either a nominal definition, or a useful device, or a real definition, or an empirical truth, or a category (if one accepts that there is a difference between "category" and "real definition"). We should not be concerned here with that status since (1") is the axiom of the system and presently we are not quarreling with the status of the axiom but only with the character of the deduction. However, it is very important that we establish in a precise way what the informative content of the axiom is, so as to make certain that some statement are, or are not, implied by it.
Now, the question arises whether we are being too demanding in precision for the basic postulate. Did we not say that ambiguity is ineradicable from all knowledge bearing on reality? Yes, but Rothbard has not said so, since literalism consists in the negation of that ever present ambiguity. To plead for recognition of ambiguity at the very start would be to concede the whole argument. Another important question is this: we are now concerned only with the criticism of the chain of reasoning, and not directly with the primitive proposition and its truth or logical status. Are we going to return to the latter problem once we are through with the former? The answer to this question is no. The logical status of the primitive axiom will be of much less interest once it will have been proved that one cannot derive from it alone the other propositions of the system. The non recognition of this is still a case of the literalistic fallacy itself. There are some other ways of justifying theory which have nothing to do with the pretended apriorism of certain axioms or principles, as it is hoped this essay itself has been able to show.
If now we concentrate on the issue of establishing a precise sense for the axiom, we will find the task very difficult. The issue is fogged with ambiguity in the praxeological literature. Take for example the efforts in clarification that one finds in the work of Israel M. Kirzner. For him praxeological rationality consists in the "consistent pursuit of one's own purposes " (KIRZNER 60, p. 32). The use of the word "consistent" introduces a complication of terminology since clearly it is not only logical consistency that is implied. One should like to say that it is rather the persistence of a purpose as such, as a purpose, that is intended, the invariability of the ends and the respective line of action during a definite span of time. Still, there is the additional declaration that "in the praxeological view, action is rational by definition" (KIRZNER 60, p. 167). To that view, even "a man who is swayed from the pursuit of his own best interests by falling prey to a fleeting temptation is yet acting 'rationally' in the praxeological sense. In the praxeological view, the man has simply substituted a new set of ends. . . ." (KIRZNER 60, p. 168-9). This forces us into concluding that praxeological judgments are intended as true only in relation to assumed (fixed) programs. They depend completely on a tendency of human beings which demands that given programs be respected. It is said that "the selection of an end can never, as such, be judged in regard to its rationality. . . ." (KIRZNER 60, p. 169). One cannot avoid the implication that praxeology as an a priori injunction must be somehow equivalent to a plea that ends remain invariable: Consilia sunt servanda! Under this light, I think, we can paraphrase (1") as
Now, if, according to all that has been said, we are going to disregard in the axiom all that is not information; if, in other words, we are going to disregard its existential aspects to concentrate only in its conceptual content, then (1') can be simplified further to read simply as a nominal definition:
It is there where one should be able to find the whole content of praxeological knowledge in an embryonic fashion; i.e., the knowledge that we are supposed to encounter afterwards in expanded guise in the rest of the system. Hence, (1) will be our starting point or primitive statement for the critical demonstration game.
Proposition (2) is reserved for later analysis. Proposition (3) seems not to be a nominal definition
simply equating "actor"
with "individual". Rather, it seems to be saying that there are no collective actors. It is a
real rather than a nominal definition. I contend that it is not implied by (1) unless one makes
(1) to imply it. I can
conceivably take (1) as allowing for collectives "consciously moving toward a goal". If I rather
prefer
not so to take it, then I am making a dialectical decision, drawing an addition or correction to
the original picture or
primitive interpretation of the content of (1). The addition would not be arbitrary, however. It
would be based on the
tacit knowledge I have about how people act, on an elicitation of what we have come to see as
the normal use of the
words "human action". This being so, one begins to wonder whether the original interpretation
exists as a separate axiom;
or rather the proposition "fully, clearly and necessarily present in every human mind"
(MISES 62) is nothing short of the whole of
ordinary
language continually reinterpreted by the very use we make of it. More simply, one could accept,
at least for the sake of
the argument, that there is some original, non-rich, interpretation of (1), and that as one learns
about human action, one
gradually enriches it with new content.
Let us give a name to this operation of altering the
interpretation of a given
primitive statement in order to convey more information. Let us call it "dialectical redefinition",
or
perhaps better,
"retro-definition". We will have occasion for repeated use of this newly-coined term in the
course
of this analysis.
I think this is another clear case of retro-definition. I can conceivably take (1) to allow for
"magical ideas" being used in
our pursuing of ends. Why not? But we tacitly know, independently of (1), that magic just would
not work–although
"we" in this context should not be identified with the whole human race. So, we
prefer to take "purposeful behavior" as implying "technological ideas."
As with (3), here one has to choose between interpreting the statement in a nominal way or in a
real way. The difference
is in this case that one could not say that (5) is a true real definition, for the simple reason that it
will not be a true
statement at all! In fact, I know that I sometimes act not for altering the future but merely for
enjoying the present, i.e.,
the action itself, as in play, and artistic or religious contemplation. To maintain the contrary
would
be equivalent to saying
that one never does anything except for the future. The unpalatable result will be that, practically
speaking, I have no
present at all. But this is clear nonsense. I enjoy, very often, the action of not-being-concerned.
This is what we
commonly call "relaxation". Since the real interpretation is false, one has to take the other horn
of
the alternative: the
definition is a nominal one. More properly speaking, this being an alleged inference from (1), it
is
a (nominal)
retro-definition. But I have defined "retro-definition" as a device that tends to make the original
definition convey more
information; and it is certainly the case in this occasion that the nominal definition tends rather
to
make it convey
less information; hence I am led to propose for it the rather awkward name of "inverse
retro-definition". Its function
is to "save" the original definition or some of its desired consequences from the assault of
adverse
experience. It is clear
that the intention of (5) is the postulation of Homo aeconomicus. Its retrodefinitional
form
makes the postulate
appear as a deductive inference from the "basic axiom".
NOTE 4
7) When we must use a means so that some ends remain unsatisfied, the necessity for a choice
among ends arises. . . .
(ROTHBARD 62, p. 4)
These statements simply do not follow from (1); neither do they follow from any of the
propositions (l)-(5). We suddenly
begin to read about several ends (for a single actor, as understood) when in (1) there is no
mention of any kind of
multiplicity. One can, of course, reply that this is an auxiliary (and empirical) hypothesis. But
this
just would not do,
because (1) does not talk about multiplicity of ends and hence it is inapplicable to the case
envisioned by the hypothesis.
We have to reinterpret (again!) the original statement so that it may allow for multiplicity of
(simultaneous) ends. But
neither would this do because ends may be either compatible or incompatible. If they are the
former, they are one (bigger)
end, not really several (conjunction is a very simple logical operation). If they are the latter, then
they are no end at all
(the actor does not know what he wants). Reinterpretation of (1) in terms of compatible ends is
superfluous; in terms of
incompatible ends, impossible. Is there a way out? There is, but it implies a full analysis of the
crucial notion of
"substitution," not present at all in the basic axiom short of reinterpretation beyond possible
recognition.
The analysis could run parallel to the analysis of (5). The postulation being made here is the
dogma of the applicability or
marginal analysis to the real world. This is also an inverse retro-definition, therefore it is of
nominal type. It is not clear,
however, as in the case of (5) that the
real interpretation is false. What is claimed, beyond a restatement of the essential content of
(5), is that there will
never be abundance in the world. The
persistence of insatisfaction is asserted, a new flat addition to the original assertion of
persistence of ends. Prima facie, that addition seems to be true, although recent
technological, medical, and
social developments make less improbable that a state of practical non scarcity could be some
time attained by human
society
(AYRES 61, pp. 230 ff.). Therefore, the real
definition is not
clearly false, although it is not, to my mind, clearly true either. Because of this qualification,
then,
we can say that (8)
could alternatively be interpreted also as a straight retro-definition (adding informative content to
the original axiom).
Is this to say that there must always be only one end? For "ranking" in this context means to
assign an ordinal number to
every partial end so as to make compatible otherwise conflicting ends. A scale of preferences
must
be built and the scale
itself is to be, from now on, the speaker for the formerly conflicting ends. Its voice is to be now
the single end. One could
say that while this ranking is being done the actor is not economizing but, perhaps,
"philosophizing," since the selection
of ends is not the business of praxeology. After the ranking is done, the actor is not economizing
either but
"mathematizing," since purely tautological operations are not the business of praxeology either.
This may be called the
dilemma of ranking. Its solution implies, again, an
analysis of the concept of substitution and of the specific role of
subjectivity in
economic theory. But apart from that, it is also true that (9) is not a deduction from (1). The
supposition that ranking
must precede action is a clear addition to the original interpretation (1). One can easily imagine a
situation in which action
is performed with the inquisitive intention of finding out what the relative weights of one's
wishes
are. "Ends are more or
less defined in the process of realization. . . . "
(KNIGHT 56, p. 172). This
statement seems to be
an empirical generalization about the evolution of mankind in the ethical and the technological
fields. In that condition, it
cannot be a consequence of (1). Nevertheless, it appears in a section entitled "First Implications
of
the Concept [of
action]". My special interest lies only on part of (10), namely the part before the first ellipsis, and
it is interesting because
it appears to be in direct contradiction to (1). But nobody wants to assert clear contradictions like
this. So we have to
save the consistency of the system by understanding (10) as a qualification of (1), i.e., we want to
read "(1) or (10)"
rather than "both (1) and (10)". Now, "(1) or (10)" is not a contradiction, but unfortunately it is a
tautology. It says that
"either ends persist or ends are continually changing". Can anyone save the informative power of
such a proposition? A
way of doing that would be to interpret the connection between the two statements in a
quantitative sense, that is, the
disjunction of them as asserting a differential degree of frequency or probability. If (1) is the
main
statement and (10) the
qualification, the content of the former will be a description of the most probable or common
occurrence in the real
world.
But this, incidentally, would be irrefutable only in the restricted sense in which one says that
every
probability statement is
irrefutable, not in the sense of a priori praxeology.
NOTE 5 Again, there is another presumable way out. The proposition that we had reserved
for later discussion, that is
(2), says that one possibility is excluded from the whole range of
possibilities open by the
tautology "(1) or (10)": the
absolute extreme possibility of all human beings being such that they would be changing ends
every discernible unit of
time. This interpretation is not completely irrelevant. Some minds could find spiritual comfort in
the fact that there is
some, at least some–however fleeting–permanence in human endeavors.
12) The factors of production may all be divided into two classes: Those that are themselves
produced, and those that are
found already available in nature. . . .
(ROTHBARD 62, p. 6)
All these are logical divisions. Logical division is no implication from an original proposition
that
uses the undivided
concept. It cannot be, since the original proposition does not distinguish between the parts that
are the result of division,
which the "derived" propositions speak of. All divisions are either nominal–and to that extent
arbitrary–or real, and
therefore dependent on experience. If they are real, they amount to empirical generalizations.
They are no deduction from
purely formal axioms. It is in the nature of logical division to have either one of these two
purposes: to serve as a catalog
(a filing system) or to serve as taxonomy (a system of concepts which somehow reflect the
natural divisions of the
world). It goes without saying that the divisions in (11) and (12) are not intended as a simple
catalog. They must be
intended as a taxonomy, and so they are. But to make this taxonomic division, one has to use
fully
the (empirical)
economic knowledge that is at hand. One still would want to say that these divisions are also
"auxiliary hypotheses" in
order to "apply" or make "relevant" economic "pure" theory. So let them be! But then it becomes
apparent that the term
"relevant" is being used in an awkward way and that there is no difference between the sense of
your word "relevance" and the sense of
my word "truth".
13) If we wish to trace each stage of production far enough back to original sources, we
must arrive at a point where
only labor and nature existed and there were no capital goods. . . .
14) There is another unique type of factor of production that is indispensable in every stage of
every production process.
This is the "technological idea". . . . [Once learned] it becomes a general condition of human
welfare in the same way as
air.
(ROTHBARD 62, p. 9)
It is inherent to any logical division that it facilitates some talk and hinders some other. In this
sense we can say that some
divisions are true and others are false. Some divisions are "truer" than others–they cannot be
totally arbitrary. In the
particular case of divisions (13) and (14) we can run into linguistic trouble. This is another strong
reason against the
praxeological approach. According to (13) one cannot talk about capital before the humanization
of man. Nevertheless,
some economists or philosophers might think it profitable so to talk. Knight, for one, likes to talk
that way. He insists on
the fact that capital is always produced by another capital,
even man himself is capital
(KNIGHT 51b). Another hindrance occurs,
according to (14),
with respect to knowledge, in many a respect the most productive and valuable capital of all. But
we cannot call it
capital, not even a factor of production, not even a good, not even a means, since it is unlimited!
If one cannot treat
knowledge as capital in the praxeological setup, then something is wrong with that setup, or
perhaps some radical
limitations in the nature of economic thinking are being uncovered in this connection.
NOTE 1
In the aprioristic sense of formal, that is "transcendentally deduced".
NOTE 2
I have chosen Rothbard's presentation, although I could equally well have picked MISES 63.
NOTE 3
The numbers of the propositions are mine; I have respected the order of appearance in the
original.
NOTE 4
Is it not the strategy of all Kantian-style apriorism to be realistic half the time and nominalist the
other half, while
pretending to be neither?
NOTE 5
This approach will of necessity crash head-on with the praxeologist instinctive repugnance for
the
statistical method:
"There is no such thing as statistical laws. . . ."
(MISES 62, p. 56). 4) Action requires an image of a desired end and "technological ideas" or plan on how to
arrive at this end.
(ROTHBARD 62, p. 2)
5) All action aims at rendering conditions at one time in the future more satisfactory for the
actor than they would
have been without the intervention of the action.
(ROTHBARD 62, p. 3)
6) Action takes place by choosing which ends shall be satisfied by the employment of
means.
. . .
8) All means are scarce. . . .
(ROTHBARD 62, p. 4)
9) The actor may be interpreted as ranking his alternative ends. . . .
(ROTHBARD 62, p. 4)
10) All human
choices are
continually changing. . . as a result of changing valuations and changing ideas about the most
appropriate means of
arriving at ends. . . .
(ROTHBARD 62, p. 6)
11) Means. . . are called goods. . . . Such goods may all be classified in either of two
categories: [consumers' goods
or factors of production]. . . .
(ROTHBARD 62, p. 6)
Copyright © 1967-1998 Claudio Gutiérrez
Notes: