ABSTRACT

    In this paper I argue that aim-oriented empiricism (AOE),
a conception of natural science that I have defended at some
length elsewhere, is a kind of synthesis of the views of
Popper, Kuhn and Lakatos, but is also an improvement over the
views of all three.  Whereas Popper's falsificationism
protects metaphysical assumptions implicitly made by science
from criticism, AOE exposes all such assumptions to sustained
criticism, and furthermore focuses criticism on those
assumptions most likely to need revision if science is to make
progress.  Even though AOE is, in this way, more Popperian
than Popper, it is also, in some respects, more like the views
of Kuhn and Lakatos than falsificationism is.  AOE is able,
however, to solve problems which Kuhn's and Lakatos's views
cannot solve.

POPPER, KUHN, LAKATOS AND AIM-ORIENTED EMPIRICISM
1  Introduction                                       
2  Karl Popper                                       
3  Refutation of Bare Falsificationism                
4  Refutation of Dressed Falsificationism            
5  From Falsificationism to Aim-Oriented Empiricism    
6  Aim-Oriented Empiricism an Improvement over                
  Falsificationism                                    
7  Thomas Kuhn                                         
8  Imre Lakatos                                        
References                                             
Notes                                                  

1 Introduction
    In this paper I argue that aim-oriented empiricism (AOE),
a conception of natural science that I have spelled out and
defended at some length elsewhere,[1] is a kind of synthesis
of the views of Popper, Kuhn and Lakatos, but is also an
improvement over the views of all three.
 
    I begin with Karl Popper, and argue that AOE can be seen
to emerge as a result of modifying Popper's
falsificationism[2] to remove defects inherent in that
position.  AOE does not, however, break with the spirit of
Popper's work; far from committing the Popperian sin of
"justificationism", AOE is even more Popperian than Popper, in
that it is a conception of science which exposes more to
effective criticism than falsificationism does.
Falsificationism, in comparison, shields substantial,
influential and problematic scientific assumptions from
criticism within science.  Whereas falsificationism fails to
solve what may be called the "methodological" problem of
induction, AOE successfully solves the problem.  And,
associated with that success, AOE also solves the problem of
what it means to assert of a physical theory that it is
"simple", "explanatory" or "unified", a problem which
falsificationism fails to solve.
    The conception of science expounded by Thomas Kuhn in his
The Structure of Scientific Revolutions (1970) shares
important elements with Popper's falsificationism.  The big
difference is that whereas Kuhn holds that "normal science" is
an important, healthy and entirely rational (indeed, the most
rational) part of science, Popper regards normal science as
"dogmatic", the result of bad education and "indoctrination",
something that is "a danger to science and, indeed, to our
civilization" (Popper, 1970, 53).  It is the apparent
persistent dogmatism of normal science  -  the persistent
retention of the current paradigm in the teeth of ostensible
empirical refutations  -  that is so irrational, so
unscientific, when viewed from a falsificationist perspective.
AOE, however, though subjecting scientific assumptions to even
greater critical scrutiny than Popper's falsificationism,
turns out to have features which are, in some respects, closer
to Kuhn than to Popper.  For, according to AOE, substantial
and influential metaphysical assumptions are persistently
accepted as a part of scientific knowledge in a way which
seems much closer to the way paradigms are accepted, according
to Kuhn, during normal science, than to the way falsifiable
theories are to be treated in science, according to Popper.
AOE depicts science as, quite properly, proceeding in a way
that is reminiscent, in important respects, of Kuhn's normal
science, something that is anathema to Popper's falsificat-
ionism.  At the same time, AOE is free of some of the serious
defects inherent in Kuhn's conception of science.  Even though
AOE science mimics some aspects of Kuhnian normal science, it
nevertheless entirely lacks the harmful dogmatism of this kind
of science, and avoids problems that arise from Kuhn's
insistence that successive paradigms are "incommensurable".
    Imre Lakatos's "methodology of scientific research
programmes",[3] was invented, specifically, to do justice both
to Popper's insistence on the fundamental importance of
subjecting scientific theories to persistent, ruthless
attempted empirical refutation, and to Kuhn's insistence on
the importance of preserving accepted paradigms from
refutation, scientists, not paradigms, being under test when
ostensible refutations arise.  It is, like AOE, a kind
synthesis of the ideas of Popper and Kuhn.  Just as AOE
incorporates elements of Popper and Kuhn, so too it
incorporates elements of Lakatos's research programme
methodology.  At the same time, AOE is an improvement over
Lakatos's view; it solves problems which Lakatos's view is
unable to solve.  Whereas Lakatos's view provides no means for
the assessment of "hard cores" (Lakatos's "paradigms") other
than by means of the empirical success and failure of the
research programmes to which they give rise, AOE specifies a
way in which "hard cores" (or their equivalent) can be
rationally, but fallibly assessed, independent of the kind of
empirical considerations to which Lakatos is restricted.  This
has important implications for the question of whether or not
there is a rational method of discovery.  It also has
important implications for the strength of scientific method.
For Lakatos, notoriously, scientific method could only decide
which of two competing research programmes was the better long
after the event, when one had proved to be vastly superior,
empirically, to the other.  "The owl of Minerva flies at
dusk", as Lakatos put it, echoing Hegel.  AOE provides a much
more decisive methodology than Lakatos's, one which is able to
deliver verdicts when they are needed, and not long after the
event.
    During the last 30 years, since the publication of
Criticism of the Growth of Knowledge (Lakatos and Musgrave,
1970), which sought to compare and contrast, to assess the
relative merits of, the ideas of Popper and Kuhn, and which
included Lakatos's attempted synthesis, much has, of course,
been published on scientific method.  One thinks, for example,
of Holton (1973), Feyerabend (1975), Glymour (1980), van
Fraassen (1980), Laudan (1984), Watkins (1984), Hooker (1987),
Hull (1988), Howson and Urbach (1993), Kitcher (1993),
Musgrave (1993), Dupr (1995), McAllister (1996), Cartwright
(1999).  It may be thought somewhat antediluvian for me to
compare AOE with the ideas of Popper, Kuhn and Lakatos only,
ignoring more recent developments.  Such comparisons deserve
to be done.  I leave them as intellectual exercises for the
reader.    
2 Karl Popper
    As everyone knows, Popper held that science proceeds by
putting forward empirically falsifiable conjectures which are
then subjected to severe attempts at falsification by means of
observation and experiment.  Scientific theories cannot be
verified by experience, but they can be falsified.  Once a
theory is falsified, scientists have the task of developing a
potentially better theory, even more falsifiable than its
predecessor, at least as ostensibly empirically successful as
its predecessor, and such that it is corroborated where its
predecessor was falsified.  In order to be accepted
(tentatively) as a part of conjectural scientific knowledge a
theory must (at least) be empirically falsifiable.
Non-falsifiable, metaphysical theses are meaningful, and may
influence the direction of scientific research.  There can
even be what Popper has called "metaphysical research
programmes"  -  programmes of research "indispensable for
science, although their character is that of metaphysical or
speculative physics rather than of scientific physics ... more
in the nature of myths, or of dreams, than of science"
(Popper, 1982, 165).  For Popper, metaphysical (that is,
unfalsifiable) theses cannot be a part of (conjectural)
scientific knowledge; such theses cannot help determine what
is accepted and rejected as (conjectural) scientific
knowledge, but they can influence ideas, choice of research
aims and problems, in the context of scientific discovery.
For further details see Popper (1959, 1963, 1982). 
    Popper defended two distinct versions of falsificationism
which, echoing terminology of Maxwell (1998), I shall call
bare and dressed falsificationism.  According to bare
falsificationism, defended in Popper (1959), only empirical
considerations, and such things as the falsifiability of
theories and degrees of falsifiability, decide what is to be
accepted and rejected in science.  According to dressed
falsificationism, a new theory, in order to be acceptable,
"should proceed from some simple, new, and powerful, unifying
idea about some connection or relation (such as gravitational
attraction) between hitherto unconnected things (such as
planets and apples) or facts (such as inertial and
gravitational mass) or new "theoretical entities" (such as
field and particles)" (Popper, 1963, 241).  This "requirement
of simplicity" (as Popper calls it) is in addition to anything
specified in Popper (1959).  In his (1959), Popper does, it is
true, demand of a theory that it should be as simple as
possible, but Popper there identifies degree of simplicity of
a theory with degree of falsifiability.  (There is a second,
related notion, but Popper makes it clear that if the two
clash it is the falsifiability notion, just indicated, which
takes priority: see page 130). Thus, in his (1959), in
requiring of an acceptable theory that it should be as simple
as possible, Popper is demanding no more than that it should
be as falsifiable as possible.  But Popper's "requirement of
simplicity" of his (1963) is wholly in addition to
falsifiability.  A theory of high falsifiability may not
"proceed from some simple, new, and powerful unifying idea",
and vice versa.  We thus have two versions of falsificationism
before us: bare falsificationism of Popper's (1959), and
dressed falsificationism of (1963, chapter 10), with the new
"requirement of simplicity" added onto the (1959) doctrine.
    I now give my argument for holding that neither doctrine
is tenable.  My argument is not that Popper fails to show how
theories can be verified, or rendered probable; nor is my
argument that Popper fails to show how scientific theories can
be falsified, in that falsification requires the verification
of a low-level falsifying hypothesis (which, according to
Popper, is not possible).[4]  There is nothing
"justificationist", in other words, about my criticism.  It
amounts simply to this.  Bare falsificationism fails
dramatically to do justice to the way theories are selected in
science (entirely independently of any question of
verification, justification or falsification).  Dressed
falsificationism does better justice to scientific practice,
but commits science to making substantial, influential and
problematic assumptions that remain implicit, and cannot
adequately be made explicit within science.  Science pursued
in accordance with dressed falsificationism is irrational, in
other words, because it fails to implement the elementary, and
quasi-Popperian, requirement for rationality that "assumptions
that are substantial, influential, problematic and implicit
need to be made explicit, so that they can be critically
assessed and so that alternatives may be put forward and
considered, in the hope that such assumptions can be improved"
(Maxwell, 1998, 21).  Dressed falsificationism fails, in other
words, for good Popperian reasons: it fails to expose
substantial, influential, problematic assumptions to criticism
within science.
3 Refutation of Bare Falsificationism
    Here, then, in a little more detail, is my refutation of
bare falsificationism.  Given any accepted physical theory, at
any stage in the development of physics, however empirically
successful (however highly corroborated)  -  Newtonian theory,
say, or classical electrodynamics, quantum theory, general
relativity, quantum electrodynamics, chromodynamics or the
standard model  -  there will always be endlessly many rival
falsifiable theories that can easily be formulated which will
fit the available data just as well as the accepted theory.
Taking Newtonian theory (NT) as an example of an accepted
theory, here are two examples of rival theories.  NT*:
"Everything occurs as NT asserts, until the first second of
2100, when an inverse cube law of gravitation will abruptly
hold".  NT**: "Everything occurs as NT asserts, except for
systems consisting of gold spheres, each having a mass of
1,000 tons, interacting with each other gravitationally in
outer space, in a vacuum, within a spherical region of 10
miles: for these systems, Newton's law of gravitation is
repulsive, not attractive".  (For further examples and
discussion, see Maxwell, 1998, 47-54).  It is easy to see that
there are infinitely many such rivals to NT, just as
empirically successful (at the moment) as NT.  The predictions
of NT may be represented as points in a multi-dimensional
space, each point corresponding to some specific kind of
system (there being infinitely many points).  NT has only been
verified (corroborated) for a minute region of this space.  In
order to concoct a (grossly ad hoc) rival to NT, just as
empirically successful as NT, all we need do is identify some
region in this space that includes no prediction of NT that
has been verified, and then modify the laws of NT arbitrarily,
for just that identified region. 
    The crucial question now is this: on what basis does bare
falsificationism reject all these falsifiable but unfalsified
rival theories?  According to bare falsificationism, T2 is to
be accepted in preference to T1 if T1 has been falsified, T2
has greater empirical content (is more falsifiable) than T1, T2
successfully predicts all that T1 successfully predicts, T2
successfully predicts the phenomena that falsified T1, and T2
successfully predicts new phenomena not predicted by T1 (see
Popper, 1959, 81-84 and elsewhere).  Given NT, it is a simple
matter to concoct rival theories, of the above type, that
satisfy the above bare falsificationist requirements for being
more acceptable than NT.  Most accepted physical theories
yield empirical predictions that clash with experiments, and
thus are ostensibly falsified.  We can always concoct new
theories, in the way just indicated, doctored to yield the
"correct" predictions.  We can add on independently testable
auxiliary postulates, thus ensuring that the new theory has
greater empirical content than the old one.  And no doubt this
excess content will be corroborated.  For details of how this
can be done see Maxwell (1998), 52-54.  Such theories are, of
course, grossly ad hoc, grossly "aberrant" as I have called
them; but they satisfy Popper's (1959) requirements for being
better theories than accepted physical theories. 
    It is worth noting that such "better" theories need not
be quite as wildly ad hoc as the ones indicated above;
sometimes such theories are actually put forward in the
scientific literature, and yet are not taken seriously, even
by their authors, let alone by the rest of the scientific
community.  An example is an ad hoc version of NT put forward
by Maurice Levy in 1890, which combined in an ad hoc way two
distinct modifications of Newton's law of gravitation, one
based on the way Weber had proposed Coulomb's law should be
modified, the other based on the way Riemann had proposed
Coulomb's law should be modified: for details see North
(1965).  By 1890, NT had been refuted by observation of the
precession of the perihelion of the orbit of Mercury; attempts
to salvage NT by postulating an additional planet, Vulcan, had
failed.  Levy's theory successfully predicted all the success
of NT, and in addition successfully predicted the observed
orbit of Mercury, just that which refuted NT; in addition, of
course, it made predictions different from NT for further
Sun-Mercury type systems not yet observed.  Despite this,
Levy's theory was not taken seriously for a moment, not even
by Levy himself. How can bare falsificationism recommend
rejection of such ad hoc versions of NT when they satisfy all
the requirements of bare falsificationism for being more
acceptable theories?  No adequate answer is forthcoming, and
it is this which spells the downfall of bare falsificationism
(as Popper may himself have realized when he put forward
dressed falsificationism in his (1963), chapter 10).
    Note, again, that this criticism of Popper has nothing
justificational about it whatsoever: it simply points to the
drastic failure of bare falsificationism to do justice to what
actually goes on in physics.
    It may be objected that ad hoc rivals to NT of the kind
just considered are so silly, so crackpot, that they do not
deserve to be taken seriously within physics.[5]  This is of
course correct.  The crucial point, however, is that bare
falsificationism ought to be able to deliver this verdict, and
this it singularly fails to do.  Bare falsificationism
actually declares of appropriately concocted ad hoc rivals to
NT that these are better, more acceptable than NT.
    But can a criticism of Popper that appeals to such silly,
crackpot theories be taken seriously?  I have two replies to
this question.  First, not all the ad hoc or aberrant variants
are entirely silly.  Levy's theory is perhaps an example.
There are degrees of ad hocness, from the utterly crackpot and
absurd, to a degree of ad hocness, so slight, so questionable,
in comparison, that the issue of whether the theory really is
ad hoc or not may be hotly disputed by physicists themselves.
(Such disputes arise especially during scientific
revolutions.)  This is an important point which will have a
bearing on the argument of the next section.  Second, it is, I
submit, the very silliness of these crackpot theories that
makes the above criticism of Popper so serious.  If bare
falsificationism favoured T1 over T2, while most scientists
favoured T2 over T1, even though admitting that T1 is
nevertheless a good theory, almost as acceptable as T2, bare
falsificationism would not be in such trouble.  What is lethal
for bare falsificationism is that it declares T1 to be better
than T2 in circumstances where scientists themselves (and all
of us) can see that T2 is vastly superior to T1, T1 being
grossly ad hoc, aberrant, wholly crackpot and silly.  Bare
falsificationism favours theories that receive, and deserve,
instant rejection: there could scarcely be a more decisive
falsification of falsificationism than that.
4 Refutation of Dressed Falsificationism
    Having argued that Popper's (1959) bare falsificationism
is untenable, I turn my attention now to Popper's (1963,
chapter 10) doctrine of dressed falsificationism.  As I have
mentioned, this adds onto the (1959) doctrine Popper's new
"requirement of simplicity (Popper, 1963, 241): see section 2
above.
    As long as there is no serious ambiguity as to what
proceeding "from some simple, new, and powerful, unifying
idea" means, it is at once clear that the new doctrine is able
to exclude from science all the empirically successful but ad
hoc, aberrant, crackpot, silly theories, of the kind discussed
above.  They do not proceed "from some simple...unifying
idea", and are to be rejected on that account, whatever their
empirical success may be, even if this empirical success is
greater than accepted scientific theories.
    However, adopting Popper's new "principle of simplicity"
as a basic methodological principle of science has the effect
of permanently excluding from science all ad hoc theories that
fail to satisfy the principle, however empirically successful
such theories might be if considered.  This amounts to
assuming permanently that the universe is such that no ad hoc
theory, that fails to satisfy Popper's principle of
simplicity, is true.  It amounts to accepting, as a permanent
item of scientific knowledge, the substantial metaphysical
thesis that the universe is non-ad hoc, in the sense that no
theory that fails to satisfy Popper's principle of simplicity
is true, however empirically successful it might turn out to
be if considered.  But this, of course, clashes with Popper's
criterion of demarcation: that no unfalsifiable, metaphysical
thesis is to be accepted as a part of scientific knowledge.
If the demarcation principle is upheld, then the metaphysical
thesis just indicated, asserting that the universe is non-ad
hoc, remains implicit in the permanent adoption of Popper's
principle of simplicity as a basic methodological principle of
science.  (And this is the way Popper himself seems to have
conceived the matter: he says of metaphysical research
programmes that they are "often held unconsciously", and "are
implicit in the theories and in the attitudes and judgements
of the scientists": (Popper, 1982, 161).)  But in leaving the
metaphysical thesis of non-ad hocness implicit in the
methodological principle of simplicity, science violates an
elementary requirement for rationality, according to which
"assumptions that are substantial, influential, problematic
and implicit need to be made explicit, so that they can be
critically assessed and so that alternatives may be put
forward and considered, in the hope that such assumptions can
be improved" (Maxwell, 1998, 21).  The non-ad hoc metaphysical
assumption may, after all, be false.  We may need to adopt a
modified version of the assumption.  It may be essential for
the progress of science that this assumption is modified.
Just this turns out to be the case, given certain formulations
of the assumption, as we shall see below.  In leaving the
non-ad hoc metaphysical assumption implicit in the adoption of
the methodological principle of simplicity, dressed
falsificationism protects this substantial, influential and
highly problematic assumption from criticism, from the active
consideration of alternatives.[6]
    Dressed falsificationism fails, in other words, for good
Popperian reasons: it is either inconsistent (in that the
untestable, metaphysical thesis that the universe is non-ad
hoc is held to be a part of conjectural scientific knowledge,
in conflict with the principle of demarcation), or it
irrationally protects an implicit, substantial assumption from
explicit criticism within the intellectual domain of science.
    Here again, it should be noted, there is nothing
justificationist about this criticism of Popper's dressed
falsificationism.  On the contrary, what the argument shows is
that dressed falsificationism protects a substantial,
influential, problematic but implicit assumption from
criticism within science: Popper's doctrine fails for the good
Popperian reason of restricting criticism. 

Popper, Kuhn, Lakatos and Aim-Oriented Empiricism

    It may be objected that adopting Popper's methodological
principle of simplicity does not commit science to making a
substantial metaphysical assumption about the universe  -
namely, that it is such that no falsifiable theory, however
empirically successful, which fails to satisfy the principle,
is true.  But I do not see how such an objection can be valid.
Suppose, instead of adopting Popper's principle, science
adopted the principle: in order to be acceptable, a new
physical theory must postulate that the universe is made up of
atoms.  This methodological principle is upheld in such a way
that even though theories are available which postulate fields
rather than atoms, and which are much more empirically
successful than any atomic theory, nevertheless these rival
field theories are all excluded from science.  Would it not be
clear that science, in adopting and implementing the
methodological principle of atomicity in this way, is making
the assumption that the universe is made up of atoms, whether
this is acknowledged or not?  How can this be denied?  Just
the same holds if science adopts and implements Popper's
methodological principle of simplicity. 
    Popper might have tried to wriggle out of accepting this
conclusion by pointing to the fact that he only declared that
a new theory, in order to be acceptable, "should" proceed from
some simple, unifying idea.  It is desirable, but not
essential, that new theories should satisfy this principle.
The principle is relevant to the context of discovery,
perhaps, but not to the context of acceptance and rejection.
(It is a heuristic principle, not a methodological one.)  But
if Popper's doctrine is interpreted in this way, it
immediately fails to overcome the objections spelled out in
section 3 above.  Either falsificationism adopts Popper's
principle of simplicity as a methodological principle, or it
does not.  If it does, it encounters the objections just
indicated; if it does not, it encounters the objections of
section 3.
5 From Falsificationism to Aim-Oriented Empiricism
    The conclusion to be drawn from the argument so far is
that science is more rational, more intellectually rigorous if
it makes explicit, as a criticizable tenet of (conjectural)
scientific knowledge, that substantial, influential and
problematic metaphysical thesis which is implicit in the way
physics persistently rejects ad hoc theories, however
empirically successful they may be.  At once two important new
problems leap to our attention.  What, precisely, does this
metaphysical thesis assert?  And on what grounds is it to be
(conjecturally) accepted as a part of scientific knowledge?
The conception of science which I uphold as a radical
improvement over Popper's falsificationism, namely
aim-oriented empiricism (AOE), is put forward as the solution
to these two problems.  I now give a brief exposition of AOE,
indicate how it solves the two problems just mentioned,
indicate further how it solves the methodological problem of
induction and the related problem of simplicity, and then
consider possible objections.
    As far as the first of the above two problems is
concerned, a wide range of metaphysical theses are available.
As I indicated in section 3 above, ad hoc theories range from
the utterly crackpot and silly, to theories that are only
somewhat lacking in simplicity or unity.  At one extreme, we
might adopt a metaphysical thesis that excludes only utterly
silly theories; at the other extreme, we might adopt the
thesis that the universe is physically comprehensible in the
sense that it has a unified dynamic structure, some
yet-to-be-discovered unified physical "theory of everything"
being true  -  a thesis that I shall call "physicalism".  We
might even adopt some specific version of physicalism, which
asserts that the underlying physical unity is of a specific
type: it is made up of a unified field perhaps, o, a quantum
field, or empty topologically complex curved space-time, or a
quantum string field.  Other things being equal, the more
specific the thesis (and thus the more it excludes) so the
more likely it is to be false, whereas the more unspecific it
is so the more likely it is to be true.
    As far as the second of the above two problems is
concerned, there are three considerations that we can appeal
to, wholly Popperian in spirit if not in the letter of
Popperian doctrine.
(1) If some metaphysical thesis, M, is implicit in some
scientific methodological practice, then science is more
rigorous if M is made explicit, since this facilitates
criticism of it, the consideration of alternatives.
(2) A metaphysical thesis may be such that its truth is a
necessary condition for it to be possible for us to acquire
knowledge: if so, accepting the thesis can only help, and
cannot undermine, the pursuit of knowledge of truth.
(3) Given two rival metaphysical theses, M1 and M2, it may be
the case that M1 supports an empirical scientific research
programme that has apparently met with far greater empirical
success than any rival empirical research programme based on
M2: in this case we may favour M1 over M2, at least until M2, or
some third thesis, M3, shows signs of supporting an even more
empirically progressive research programme. 
    The arguments of sections 3 and 4 have established that
physics must accept (conjecturally) some kind of metaphysical
thesis of non-ad hocness, if crackpot theories are to be
excluded: it makes sense to adopt that thesis which seems to
be the most fruitful in promoting scientific progress.  (To
say that M1 "supports" an empirically successful research
programme is to say that the programme develops a succession
of theories, each empirically more successful than its
predecessors, in a Popperian sense, and each being closer to
exemplifying, to being a precise, testable instantiation of M1
than its predecessors.)
    Two difficulties arise, however, when one attempts to use
(2) and (3) to select the best available metaphysical thesis
from the infinitely many options available.  As far as (2) is
concerned, any thesis sufficiently substantial to exclude
empirically successful crackpot theories from science is such
that acquisition of knowledge might still be possible even if
the thesis is false.  On the other hand, any thesis such that
its truth is necessary for knowledge to be acquired is much
too insubstantial to exclude crackpot theories.  As far as (3)
is concerned, given any metaphysical thesis, M, that supports
a non-crackpot empirically progressive scientific research
programme, we can  mimic this with a crackpot M* that supports
a crackpot empirically progressive research programme, with a
series of crackpot theories, T1*, T2*, ..., these theories
becoming progressively more and more empirically successful,
and closer and closer to exemplifying M*.
    These two difficulties can be overcome, however, if
physics is construed as adopting a hierarchy of metaphysical
conjectures concerning the comprehensibility and knowability
of the universe, these conjectures becoming more and more
insubstantial as one ascends the hierarchy, more and more
likely to be true: see diagram.  (A crude version is below; for
a more adequate version please request jpg file; or see either Maxwell, 1998, p. 8; or 1999, p. 142; or 2000a, p. 34; or 2001,
p. 42; or 2002a, p. 269; or 2002b, p. 6).  As I have formulated this
--------------------------------------------------------------
          DIAGRAM OF AIM-ORIENTED EMPIRICISM

Level 10   PARTIAL KNOWABILITY
  [Thesis that the universe is such that some knowledge of local                              circumstances can be acquired.]

Level 9    EPISTEMOLOGICAL NON-MALICIOUSNESS
  [Thesis that the universe is such that local knowledge can be used
  to acquire some knowledge of non-local conditions.]                      

Level 8    META-KNOWABILITY
  [Thesis that the universe is such that, relative to existing knowledge, some
    thesis can be discovered which leads to improved methods for the
    improvement of knowledge.

Level 7    ROUGH COMPREHENSIBILITY
  [Thesis that the universe is more or less comprehensible.]

Level 6    NEAR COMPREHENSIBIITY
  [Thesis that the universe is such that the best assumption science can make, at this level, in order to achieve empirical success, is that the universe is perfectly comprehensible.]

Level 5   COMPREHENSIBILITY
  [The thesis that the universe is comprehensible in the sense that                       something exists at all times and places (God, tribe of gods, cosmic purpose, cosmic programme, or unified pattern of physical law), which determines (perhaps probabilistically) all change and diversity, and in terms of which everthing can, in principle, be explained and understood.]

Level 4   PHYSICALISM
  [The thesis that the universe is physically comprehensible.]

Level 3   BEST BLUEPRINT
  [The thesis that the universe is physically comprehensible in some                        more or less specific way.]

Level 2   ACCEPTED FUNDAMENTAL PHYSICAL THEORIES

Level 1   EVIDENCE
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idea, in Maxwell (1998), the top conjecture in the hierarchy
(at level 10) asserts, roughly, that the universe is such that
some (conjectural) knowledge of our local circumstances can be
acquired.  This, and the next conjecture down are, I argue, to
be accepted as permanent items of scientific knowledge, in
accordance with (2), on the grounds, that is, that such
acceptance can only help, and cannot hinder, the search for
factual knowledge whatever the universe may be like.  At level
4 the conjecture to be adopted is, I argue, physicalism.  At
level 5 there is the less precise conjecture that the universe
is comprehensible in some way or other; and as one goes up the
hierarchy to levels 9 and 10, the conjectures become
progressively less and less substantial and precise.  At level
3 there is the best currently available more or less specific
version of physicalism, which I call the current "metaphysical
blueprint".  Examples from the history of physics are: the
universe consists of (a) corpuscles which interact by contact
(b) point-atoms which interact by means of forces (c) a
unified classical field (d) a unified quantum field (e) empty,
curved, topologically complex space-time (f) a unified quantum
string field.  At level 2 are currently accepted fundamental
physical theories, and at level 1 there are empirical data.
Two considerations govern acceptance of metaphysical
conjectures from level 3 to level 8.  Any such conjecture
must, as far as possible (A) exemplify, be a precise version
of, and imply, the next conjecture up in the hierarchy, (B) be
more empirically fruitful than any rival conjecture, in that
it is a part of an empirical research programme that seems to
be more empirically progressive than any rival research
programme, in accordance with (3) above.  Two considerations
also govern acceptance of testable fundamental dynamical
physical theories.  Such a theory must be such that (i) it,
together with all other accepted fundamental physical
theories, exemplifies, or is a special case of, the best
available metaphysical blueprint (at level 3) to a
sufficiently good extent, (ii) it is sufficiently successful
empirically (where empirical success is to be understood,
roughly, in a Popperian sense).
    This hierarchical view of AOE overcomes the two
difficulties, indicated above, roughly as follows.  Only the
top two theses are accepted as a result of an appeal to (2);
theses at levels 3 to 8 are accepted as a result of (a) an
appeal to (3), and (b) compatibility with the top two theses
at levels 10 and 9; this suffices to exclude aberrant rivals
at levels 3 to 8 (which might be construed to support
aberrant, empirically progressive research programmes).  For
further details of how AOE overcomes the two difficulties
indicated above, and for further details of the view itself,
see Maxwell (1998, chapter 5, and elsewhere).
    A basic idea of AOE is to channel or direct criticism so
that it is as fruitful as possible, from the standpoint of
aiding progress in knowledge.  The function of criticism
within science is to promote scientific progress.  When
criticism demonstrably cannot help promote scientific
progress, it becomes irrational (the idea behind (2) above).
In an attempt to make criticism as fruitful as possible, we
need to try to direct it at targets which are the most
fruitful, the most productive, to criticize (from the
standpoint of the growth of knowledge).  This is the basic
idea behind the hierarchy of AOE.  Conjectures at all levels
remain open to criticism.  But, as we ascend the hierarchy,
conjectures are less and less likely to be false; it is less
and less likely that criticism, here, will help promote
scientific knowledge.  The best currently available level 3
conjecture is almost bound to be false: the history of physics
reveals, at this level, as I have indicated above, that a
number of different conjectures have been adopted and rejected
in turn.  Here, criticism, the activity of developing
alternatives (compatible with physicalism) is likely to be
immensely fruitful for progress in theoretical physics.
Indeed, in Maxwell (1998), 78-89, 159-163 and especially
217-223, I argue that this provides physics with a rational,
though fallible and non-mechanical method for the discovery of
new fundamental physical theories, a method invented and
exploited by Einstein in discovering special and general
relativity (Maxwell, 1993, 275-305 ), something which Popper
has argued is not possible: see Popper (1959), 31-32.
Criticizing physicalism, at level 4, may also be fruitful for
physics, but (the conjecture of AOE is) that this is not as
likely to be as fruitful as criticism at level 3.  (Elsewhere
I have suggested alternatives to physicalism.)  And, as we
ascend the hierarchy (so AOE conjectures), criticism becomes
progressively less and less likely to be fruitful.  Against
that, it must be admitted that the higher in the hierarchy we
need to modify our ideas, so the more dramatic the
intellectual revolution that this would bring about. If
physicalism is rejected altogether, and some quite different
version of the level 5 conjecture of comprehensibility is
adopted instead, the whole character of natural science would
change dramatically; physics, as we know it, might even cease
to exist.
    The biggest change, in moving from falsificationism to
AOE, has to do with the role of metaphysics in science, and
the scope of scientific knowledge.  According to
falsificationism, untestable metaphysical theses may influence
scientific research in the context of discovery, and may even
lead to metaphysical research programmes; they cannot,
however, be a part of scientific knowledge itself.  But
according to AOE, the metaphysical theses at levels 3 to 10
are all a part of current (conjectural) scientific knowledge.
In particular, physicalism is.  According to AOE, it is a part
of current scientific knowledge that the universe is
physically comprehensible  -  certainly not the case granted
falsificationism.
    Another important change has to do with the relationship
between science and the philosophy of science.
Falsificationism places the study of scientific method, the
philosophy of science, outside science itself, in accordance
with Popper's demarcation principle.  AOE, by contrast, makes
scientific method and the philosophy of science an integral
part of science itself.  The activity of tackling problems
inherent in the aims of science, at a variety of levels, and
of developing new possible aims and methods, new possible more
specific or less specific philosophies of science (views about
what the aims and methods of science ought to be) is,
according to AOE, a vital research activity of science itself.
But this is also philosophy of science, being carried on
within the framework of AOE.[7]
    AOE differs in many other important ways from Popper's
falsificationism, whether bare or dressed (see Maxwell, 1998).
Nevertheless the impulse, the intellectual aspirations and
values, behind the hierarchical view of AOE are, as I have
tried to indicate, thoroughly Popperian in character and
spirit.  The whole idea is to turn implicit assumptions into
explicit conjectures in such a way that criticism may be
directed at what most needs to be criticized from the
standpoint of aiding progress in knowledge, so that
conjectures may be developed and adopted that are the most
fruitful in promoting scientific progress, at the same time no
substantial conjecture, implicit or explicit, being held
immune from critical scrutiny.
6  Aim-Oriented Empiricism an Improvement over
Falsificationism
    AOE is also, in a number of ways, a considerable
improvement over Popper's falsificationism. 
1. Consistency.  Bare falsificationism fails dramatically to
do justice to scientific practice, and is an inherently
unworkable methodology, in any case.  (In what follows I shall
mostly ignore bare falsificationism as obviously untenable,
and concentrate on comparing dressed falsificationism and
AOE.)  Dressed falsificationism does better justice to
scientific practice, but at the cost of consistency;
persistent rejection of empirically successful theories that
do not "proceed from some simple...unifying idea" commits
science to accepting a metaphysical thesis of simplicity as a