I have
repeatedly stated the significance of “a theory refutable by facts”. I have
also pointed out that tautologies, ambiguous, or contradictory theories are not
refutable by facts. There remain two other types – of “theories” without
explanatory power – that are not refutable by facts. One is when the phenomenon
used for empirical testing is non-factual; the other is when the phenomenon
inferred to occur is unrestrained.
Suppose I
say: “If it rains, then there are clouds in the sky.” In this statement, “rain”
and “clouds” are factual and observable. If “rain” and “clouds” are merely
castles in the air and non-factual, then the statement cannot be tested. This
embodies a non-trivial philosophy of empirical science. For every inference
with explanatory power, its testing must have the following implication: if “A”
happens, then “B” follows suit – and both “A” and “B” are observable facts. No
matter how costly or how much time it takes to do the testing, in principle at
least, the existence of “A” and “B” have to be confirmable. Albert Einstein’s
theory of relativity involved the gene theory in genetics. Though its
implication was initially difficult to be empirically tested, it was
nonetheless confirmed subsequently.
The
question is, as aforementioned, facts cannot be explained by facts. The
occurrence of “A” cannot explain the occurrence of “B”. Any regularity between
“A” and “B” can only serve to confirm the implication of a certain theory. No
matter how abundant the facts are and how obvious the regularity is, they are
not self-explanatory. Therefore, a theory with explanatory power often starts
from abstract thinking and non-factual postulates, then through logical
reasoning to derive testable implication – the latter is the “If it rains, then
there are clouds” hypothesis.
This is no
easy project. A testable implication has to be refutable by facts; however,
facts are not self-explanatory, and abstract theory itself cannot be tested. In
the subtle transition from abstract reasoning to empirical testing, the
difference in capability between a master and a mediocrity will be clearly
revealed.
Let me
quote a fundamental example. In economics, the renowned law of demand says: if
the price of a good falls, its quantity demanded will increase. Price and its
movement are observable, but quantity demanded is non-factual! Quantity
demanded, referring to consumers’ desired or intended demand, is an abstract
term. Therefore, the law of demand itself cannot be empirically tested.
However, this law is indispensably significant in economics. The average person
often treats quantity transacted in the market as quantity demanded. Similar to
treating a deer as a horse, this is undoubtedly wrong. The correct approach is
very different. We should say: if the law of demand is right, then by logical
reasoning, under certain observable circumstances, the occurrence of “A” will
lead to the occurrence of “B”, and both “A” and “B” are observable facts (this
is a testable implication inferred by the non-testable law of demand). If “A”
occurs yet “B” does not occur, then the law of demand is highly problematic –
it either requires addition of other conditions, or be counted as refuted by
facts. If “Not B” implies “Not A”, then the law of demand is not refuted, and
can be interpreted as having explained the regularity between “A” and “B”.
Indeed –
if amazingly done, such prediction and empirical testing can be extremely
laudable. This is the beauty of science. In this book I will go to great lengths
to demonstrate the astonishing explanatory power of the law of demand. The
aforementioned additional conditions could be ever-changing, aplenty or just a
few. In scientific methodology, additional conditions are called test
conditions, while in economics they are termed constraints. Sometimes we could
say the occurrences of “A” and “B”, or the occurrence of “A” or “B”, will lead
to the occurrence of “C”. We could also say the occurrence of “A” will lead to
the occurrences of “B” and “C”. These variables could be aplenty or just a few;
could occur simultaneously; one or several of them could occur in several or
many possible observations. These all fulfill the requirements of theories with
explanatory power. No matter how many phenomena are involved in testing, one
restraint is necessary.
Suppose
the occurrence of “A” will lead to the occurrence of an infinite list of “B”,
or “C” or “D” or “F” …, then such an implication is neither deniable nor
refutable. Strictly speaking, this is the so-called disequilibrium in economic
theory. Equilibrium, on the other hand, is attained when a refutable
implication is derived from restrained hence definite phenomena.
The
aforementioned concepts of “equilibrium” and “disequilibrium” are different
from the traditional equilibrium theory adopted by economists. I consider the
traditional concepts fundamentally wrong. “Equilibrium” in traditional
economics was copied from physics. Equilibrium in physics refers to a pendulum,
after oscillating, reaching a static state at the center; or an egg, after
rolling on the floor, reaching a stationary point; or an incessant object,
after entering an orbit, displaying regularity. This type of “equilibrium”
refers to certain phenomena that are indeed observable.
“Equilibrium”
in economics is a different matter. For instance, economists say that the
intersection of the demand curve and the supply curve is an equilibrium point.
Yet there is neither demand curve nor supply curve in this world – these are
merely conceptual tools conceived by economists. Without economists, these
conceptual tools will not exist. Similarly, “equilibrium” and “disequilibrium”
in economics are merely concepts that do not exist in the real world. Being
neither phenomena nor facts, they cannot be observed.
In the
spring of 1969, Coase and I drove from Vancouver to Seattle. In the over
two-hour journey we debated about the “equilibrium” concept in economics. He
considered “equilibrium” and “disequilibrium”, being castles in the air, should
be abolished. I assented to the viewpoint of castles in the air, but
considering so popular were “equilibrium” and “disequilibrium” in economics, I
could provide a little remedy for these concepts.
I pointed
out to Coase that “disequilibrium” could be interpreted as a theory lacking a
refutable implication since inferred phenomena are not restrained; whereas
“equilibrium” refers to a testable theory since inferred phenomena are
restrained. This is the difference between the aforementioned “unrestrained”
and “restrained”. Coase at that time agreed this interpretation could salvage
the economic “equilibrium” and “disequilibrium” concepts which ought to have
been trashed. That was more than forty years ago. Today, the number of
economists who understand and concur with this concept can be counted on the
fingers of both hands.
Abstract theory itself cannot be empirically
tested. In order to have explanatory power, abstract theory must possess one or
more implications that can be tested. For implication to be testable, it must
be refutable by facts. The implication can have many additional conditions and
inferences of phenomena, and they can be linked by the affirmative “and” or the
not-so-affirmative “or”, though they cannot be infinite. Undoubtedly, the
affirmative “and” has stronger explanatory power than the not-so-affirmative
“or”, and the simpler the abstract reasoning and test implication, the more
convincing they are. Gifted scientists are capable of marvelously simplifying
complexities.
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