Theory and the World | |
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Introduction: Unobservables |
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The general statements and natural laws that
we’ve been concerned with in earlier lectures are supposed to be ways in
which we can explain the things that we observe in the world about us.
They tell us why certain things
happen and why certain other things don’t happen; or they tell us why
certain things are the way they are and why they are not otherwise. We
started with trivial explanations, such as that bronze statues were brown
because bronze was brown, that ugly children are the natural product of
ugly parents, and that billiard balls move when they are struck by other
billiard balls; but we’ve also seen some other explanations that point
toward more interesting claims.
For example, I mentioned that when my car lights
were left on overnight, my battery would go flat. But what does this
actually mean and why does it ‘go flat’ in such circumstances? A possible
answer to this question is that a battery has a difference in electrical
potential between its positive and its negative terminals and that current
flows along the wires from high potential to negative potential. When
enough current has passed the potential difference is eliminated and the
current ceases to flow. One can think of it as being rather like water
running from one reservoir that is full into another reservoir that is
empty. But electricity isn’t
actually water, and wires aren’t pipes, we can’t see anything running
through them, so what is ‘flowing’? And what is ‘potential difference’
really if it’s supposed to act like a pressure difference between two
reservoirs? To answer this question we now have to talk about
imperceptibly small electrons and new properties of bodies called charges.
Charges can be either positive or negative and each of these invisible
‘electrons’ is the bearer of a negative charge. Bodies which have the same
charge repel each other while bodies with opposite charges attract. On one
terminal of a battery we have an artificially created excess of electrons,
so it is negatively charged. On the other terminal we have created a
deficit of electrons, so it is positively charged. When we provide a path,
such as a copper wire, along which electrons may move between the two
terminals, the electrons will attempt to move from the negative terminal
to get to the attractive-to-them positive terminal, thus reducing the
total charge at both ends. (Each electron that leaves the negative
terminal reduces its negative charge by 1 unit, and each electron that
arrives at the positive terminal reduces its positive charge by one unit.)
These moving electrons (which are the ‘current’[1])
can be made to do useful work, such as running parking lights on a car.
They will continue to try to move along the wire for as long as there is a
relative difference in charge at the two ends. If we fail to sustain the
difference – by running a car engine, for example – the difference in
charge will eventually disappear and electrons will no longer run along
the wire. At that time the battery will be said to be flat, and we can get
no more work done with it.
This looks like a pretty good explanation of
batteries and currents and charges and so on. Doubtless there are more
questions that need to be answered, such as why copper wire works as a
path and why wood doesn’t, but we needn’t worry about them at this point.
What is remarkable about this explanation is that it appeals to things
that we cannot directly see or sense (e.g. electrons) in order to explain
things that we can see and sense
(e.g. the car lights not working.) The question we need to ask ourselves
now is whether theories like this are to be interpreted as claiming that
there really are such things as electrons and charges, or are they some
sort of convenient fiction. Is the story that I just told about them to be
judged a good or bad story depending on whether it corresponds in a
certain straightforward way to how the world is – in which case we are
Realists about theories – or is
there some other standard that we should use, such as, say, usefulness or
beauty.
[1] By convention
current is actually said to flow in the opposite direction from
the movement of electrons.
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Instrumentalism |
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There are
those who say that we aren’t justified in believing that there
really are the sorts of things that are spoken of in our best
theories, and for that reason we should look at theories not as
giving us a description of the world but as a sort of tool or
instrument for prediction. We input the initial conditions into
the theory as an instrument and out pop predictions of what will
happen. The worth of a theory is not to be found in how closely
its description of the world matches the actual state of the
world, but in how closely its predictions are matched by the
observed outcomes. This way of looking at theories is called
Instrumentalism.
The
principal reason why instrumentalists deny that we should believe
in the things that our best theories talk about is because there
have been so many revisions to our theories of the world in the
past. Not so long ago, for example, our best theory of light was
that it was a kind of wave that propagated in the
not-yet-detectable ‘ether’ in the same way that a longitudinal
wave moves through water, or that a compression wave moves through
metal. To accept this theory as a description of the world was to
accept that there really is such a thing as the ‘ether’ which was
required as the medium in which light waves existed. Now, of
course, we don’t think of light as being
that sort of wave at all and our theories don’t claim that anything
like the ether exists. At one time also, doctors worked on the
theory that illness was due to an imbalance in the levels of four
‘humours’ in the body. (They were the sanguine, choleric,
phlegmatic, and melancholic humours.) (We still talk about a
person being in a bad humour if they seem out of sorts.) In order
to relieve the symptoms and therefore to cure the patient of his
ailment it was necessary to find a way to restore the balance of
these humours. But if you’re going to believe that this theory
describes the real state of the human body, then you’re going to
need to believe in the real existence of these humours. Now, of
course, we can see that there are really no humours and illnesses
have a vast range of different causes. Finally, we can note that
at one time it the best astronomical theory claimed that the Sun
and the planets and the Moon all went around the Earth, which
remained fixed and immovable. According to this Ptolemaic theory
of the universe, those celestial bodies were fixed to crystalline
spheres centered on the Earth. They needed to be fixed to these
spheres because there was no other way that they could be kept in
their places; and the spheres had to be crystalline because
otherwise we would see them. Those had to be real objects in the
universe according to this theory; but once again we now know
better: there are no such spheres, crystalline or otherwise, in
our current theories.
Instrumentalists make a pessimistic induction from these and other
episodes in the development of our knowledge Etheric
theory was our best theory, but the things it described didn’t
exist Humoral
theory was our best theory, but the things it described didn’t
exist Ptolemaic
theory was our best theory, but the things it described didn’t
exist …
---------------------------------------- The things
that our best theories describe don’t exist
But if
our best theories are not to be interpreted as telling us how
things are in the world – as they certainly seemed to – then what
is the point of them? The instrumentalist at this point answers
that they are useful as instruments for predictions. After all, it
was felt at the time that these theories were held that they
performed well as instruments: the etheric theory told us how
light beams could interfere with each other and how they could
bend around objects, and so on; the humoural theory told us how we
could relieve some distresses through purgings and emetics and
bloodletting, and how some foods and drugs could affect us; and
the Ptolemaic theory enabled us to predict with great accuracy
most of the events in the heavens, such as eclipses and
progressions and planetary alignments. They could perform an
optimistic instrumental induction such as the following Etheric
theory was valuable as a predictive tool Humoral
theory was valuable as a predictive tool Ptolemaic
theory was valuable as a predictive tool …
---------------------------------------- Our best
theories are valuable as predictive tools
Which
would have been supported by two further considerations: first,
that in many cases what we
meant by ‘best’ in ‘best theory’ seems to be no more than that
the theory made good predictions; and, secondly, that we didn’t
begin to doubt the worth of the theory until (a) we found too many
places in which it couldn’t make good predictions, or, (b) a
‘better’ theory (in the sense just mentioned) was offered. For
example, the Michelson-Morley experiment was intended to determine
how fast the Earth was moving through the ether by measuring the
different speed of light in two different directions. The
unexpected outcome was that there was no difference at all, which
had to mean either that the Earth wasn’t moving (which was
obviously untrue) or that light did not move through an ether in
the way theorized. For another example, when Galilei used his
telescope to observe the moons of Jupiter orbiting that planet, it
was then clear that (1) not all bodies in the heavens moved about
the Earth’s centre, and (2) that Jupiter wasn’t fixed on a
crystalline sphere, else the moons would have been unable to orbit
it. These problems motivated the adoption of better – more
accurately predictive theories; Einstein’s theory of relativity in
the case of light, and the heliocentric Copernican theory in the
case of astronomy.
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Realism |
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Explanations
Yet, even
granted the history of error in scientific theories, the
instrumentalist view of theories seems unsatisfactory to many. The
primary reason that many are inclined to dismiss it is that from
the time of Aristotle we have looked for
explanations of why the
world is the way it is, and theories are supposed to be those
explanations – but the instrumentalist view doesn’t seem to treat
them as explanations at all, leaving our natural desire for
explanation unfulfilled. So although we might say that the reason
that the statue is brown is because the statue is made of bronze
and bronze is brown, this is not, on the instrumentalist view, an
explanation, but merely a shorthand for the use of the
‘theoretical’ instrument of prediction. But this leaves the facts
about bronze statues actually
unexplained, and since any explanation is going to look like a
theory and the instrumentalists say all theories are merely
instruments, it looks like they have to insist that explanations
are just impossible in
principle!
Surely,
however, it is reasonable to accept that there are explanations
for the way the world is – it is hard to imagine what it would
even mean for the world to be inexplicable in principle – and it would
follow, too that it is rational to believe the best explanations
that we can come up with for the way that the world works, unless
we have firm grounds to think that they are in fact false; and to
believe an explanation means that when it says that there are
electrons in the world then we should believe that there are
electrons in the world, and when it says that there are not
crystalline spheres in the world then we should believe that there
are not crystalline spheres in the world. This is not to say that
we should not approach these things with a certain degree of
skepticism, but the declared intention of an explanation to
describe the world should at least be accepted at face value and
criticized on those terms.
At this
point, however, an Instrumentalist might simply deny that
explanations are fundamental to Science. The point of Science
might perfectly well be taken to be the mere description of
how the world behaves,
without bothering with the further extra-scientific question of
why it behaves in that
way. This isn’t quite as absurd as it sounds at first, because we
don’t typically think that scientists who are working at the very
edges of our theories and describing the fundamental particles
(quarks) and constants (such as the gravitational constant have
ceased to do science.) On the other hand, to extend that approach
to all of must Science
seem a radical departure from our naïve understanding of what
we’re doing when we study Nature. Aristotle himself, as we saw,
accepted that there would be certain fundamental truths knowable
only by non-scientific means, but we also saw that the point of
episteme was to provide
explanations for the rest of the facts about the world in terms of
deductions from these fundamental facts. Without stronger
arguments for the anti-explicative view of Science, we will remain
unconvinced.
So much
for the principal motivation
for rejecting instrumentalism, but there are other more direct
arguments in favour of realism. As we go through them, note that
none of them are deductively valid, but are the sorts of arguments
that urge one to consider the plausibility or likelihood of
alternatives. We will see that it is always possible to reject
them, but it’s probably more rational to accept them.
Best
Explanations and Best Interpretations
The most
common direct argument appeals to a kind of inductive argument
that we’ve seen earlier: the inference to best explanation. Let us
recall how this works. We begin with a certain set of phenomena
and we also have a number of theories that might be used to
explain them. We choose the best of these theories and declare
that because it’s the best theory, that’s the one we should
believe. In introducing this, I gave the example:
You
return home to find your door broken and some valuable items
missing.
Possible
explanations include:
1.
A meteorite struck your door and vaporised your valuables.
2.
Friends are playing a joke on you.
3.
A police Tactical Response Group entered your house
mistakenly.
4.
You were robbed.
Explanation 4 seems the best, so you conclude
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You were robbed.
More generally, we observed that inferences to best
explanation take the following form:
Phenomenon C is observed
A explains C and does so better than any rival
explanation
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A
But to apply this to the dispute between
instrumentalism and realism we’ll have to make a few adjustments,
because what we’re interested in now is not the ‘truth’ of one
theory or another, of Copernican or Ptolemaic astronomy, of
Humoral or Modern medicine, of Etheric or Quantum theories of
light, but how we should interpret the rival claims to truth of
those theories. What we are looking for now is the
most rational approach
to the interpretation of scientific theories. The appropriate
argument will therefore look something like this:
The
pursuit of scientific knowledge shows the following
characteristics: A, B, C, …
The
following interpretations of scientific theories make sense of
those characteristics:
1.
Instrumentalism
2.
Realism
Interpretation 2 seems to make the best sense, so you conclude
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Realism is right
To
complete this argument it only remains to outline the
characteristics of science that are relevant to the argument (the
A, B, C, … above,) and
to show how it is that realism makes more sense of them than
instrumentalism does. That’s what we’re going to do now. (Note
that we have ignored the possibility of there being other
interpretations. This too would need to be justified.)
The most
obviously impressive thing about science is just how successful it
is. By using the theories that science comes up with we’re able to
provide an explanation of phenomena that allows amazingly accurate
predictions of future or events, and that explains or is
consistent with past events. We rely upon this accuracy every day
of our lives. Bridges and buildings that are built according to
the accepted physical theories are safe (and we don’t need to
apply ‘rules of thumb’ to know it as ancient architects had to
do.) Airplanes and spaceships work reliably. We find that common
GPS devices – which get their data from satellites and have to
take account of relativistic phenomena – are fantastically
accurate. And so on. But how can this be so? What is it that makes
these theories just so very useful? All would be explained if it
really was the case that these theories are describing how the
world actually, really is. The buildings and bridges are safe
because there really are forces that are acting on masses in just
the way that the theories describe. Similarly for planes and
rockets. And the GPS devices work because time really does slow
down and mass really does increase for objects moving at very high
relative velocities. Is there any other way that these things
could be explained? There’s a famous quote from Hilary Putnam that
Realism “is the only philosophy that doesn't make the success of
science a miracle”[1]
and so this argument for the Realist interpretation of science is
referred to as the No-Miracles Argument.
The
Instrumentalist response to this argument has often been that the
reason that scientific theories are so successful is that they are
selected from all possible theories on the basis of their
successfulness. There is really no mystery about it. Whether
that’s a satisfactory response, however, has to be doubted: the
fact that theories are chosen for success does not give us an
answer to the question of
why they are successful. The Instrumentalist simply declares
that there is no place for such further explanations in Science.
It is a
further notable feature of scientific theories that the
unobservables that they propose can be approached from several
different directions. Take the example of the existence of germs:
they were proposed as the basic requirement of the germ theory of
disease, and their existence was established by scientists through
such techniques as epidemiology, a standard method in medical
science. And then it was possible to direct the aim of optical
instruments towards where the germ theory said that these entities
would exist in abundance. When this was done an image appeared in
the relevant microscopes. Accepting that microscopes do actually
show things that are too small to be observed by the naked eye,
which is a theoretical claim from a the science of optics, we can
say that the microscopic observations corroborate the
epidemiological inference that there are such things as germs. But
note that epidemiology and medical science and optics are very
remote from each other, so how is it that such corroborations can
occur – and occur so often as they do? If each theory was merely
an independent instrument for predictions in its own field of
application, then there’s no good reason to think that the
instruments will behave in this way at all. Only Realism can make
sense of this characteristic of Science.
The last of the characteristics of Science that we’ll look at (though not the last of the characteristics that have been proposed for the Inference to Best Explanation argument for Realism) is the project of unification. It is a noted characteristic of Science that there is a tendency for scientists to try to create theories that unify several different fields of study that are covered by different theories. We’ve seen that chemistry has been united with particle physics, and particle physics with theories of light, and theories of light with theories of electromagnetism and radiation general, and so on. In fact the great project – very far still from completion – is the creation of the so-called Grand Unified Theory in which all the sciences will be unified and shown to be derivable from a single statement describing a fundamental truth about the world. At the very least, theories that contradict each other with respect to the supposed entities of the universe are rejected. Again, we can see why this would be well-motivated if we take a Realist attitude to theories, because they are all understood to be descriptions of different aspects the same world, and eventually they all have to agree with each other to state the unique truth about the world. For the Instrumentalist, on the other hand, there seems to be no reason to think that the project of unification of the sciences is achievable or even desirable.
[1] Putnam, H.
(1975) Mathematics, Matter and Method, Cambridge:
CUP, p. 73
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Underdetermination |
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Another argument
is sometimes made which is supposed to weigh on the Instrumentalist’s side
of the balance, and that is the argument that theories are underdetermined
by all the available observational evidence. There are actually two ways
of looking at this argument, though they are related. From the first point
of view, called the Duhem-Quine thesis after the French and American
philosophers who came up with it, it can be shown that no matter what the
theory is that you are studying – be it Humoural medicine, Etheric light
waves, or Ptolemaic astronomy, it is always possible to defend it against
all possible observations. From the second point of view, noted by the
Physicist Poincare amongst others, it can be shown that no matter what
theory you have that explains the observational data you have, there are
an infinite number of alternative theories that will do just as good a
job. Let’s first look at how these arguments go, and then see how they
affect the Realism/Instrumentalism debate.
Duhem-Quine
Thesis
Let’s consider
the Duhem-Quine thesis first. Suppose you have a theory like the Flat
Earth theory. You might test this by comparing what it predicts about the
world with your observations of the world. So you say to yourself, ‘if the
world is flat then as a ship sails out to sea it will get smaller and
smaller until it is just a tiny point on the horizon, but it’ll always be
in my line of sight. What you observe, however, is that the ship seems to
dip below the horizon, so that you lose sight first of the hull, then of
the cabins, and then of the mast and sails, and finally of the flag at the
very top. What do you conclude? You might conclude that the world is
curved: that would explain what you saw. But you only need to conclude the
world is the curved to explain what you saw on the assumption that light
always travels in straight lines. If you instead assumed that light
travelled in curved paths of the right sort, then you could keep your
Flat-Earth theory. And, in general, it is claimed that if you are prepared
to make enough changes to the other
things you believe, you can defend any theory at all from all possible
observations.
Poincare
To turn now to
the Poincare observation, suppose you have a theory that fits all the
observational data, like the theory that the Sun is fixed in space and the
Earth moves about the sun in an ellipse. Now suppose you add to that
theory the idea that everything in the universe is moving in the same
direction at 1000 miles per hour. Quite clearly, there would be no
observations you could make to distinguish your original theory from this
augmented theory, and yet what your original theory said about the shape
of the Earth’s orbit in space would contradict what the new augmented
theory says about it. In the first case it’s an ellipse, and in the second
case it’s some odd sort of helix. And, in general, it is claimed that for
any theory there are an infinite number of possible augmentations
(de-simplifications) that can be added that are observationally neutral.
Consequences for
the Realism/Instrumentalism Debate
The
Instrumentalist welcomes these observations, because it seems that if
there are always any number of alternative theories that can equally well
explain the exact same observational data, and these alternative theories
contradict each other on the nature of the unobservables that they
presuppose, then to take a Realist attitude to any one of these theories
is quite unjustifiable. Really, the only sensible way to look at the
theories is as predictive devices that don’t say anything interesting
about what’s really in the
world.
The Realist may
reply, of course, that it was never possible for one theory to be proved
true and another to be proved false, but the inductive procedures by which
theories were produced were never claimed to be infallible. All that was
claimed was that the theories that were produced were those in which it
was most rational to believe, and the measurement of rationality involved
much more than just observational consistency – it also involved such
things as plausibility, usability, simplicity, strength, etc. There’s no
reason to think that any of the alternative theories could survive that
winnowing process, so there’s no reason not to think that there’s a single
best explanation at any time.
And in any case, the Realist will say that one of the alternative theories will actually be true (even if it isn’t one of the alternatives that we’re aware of just yet) and if it is true it will accurately describe the world (including the unobservables in it,) and that’s how we should interpret all the candidates for the true theory. |