I have discussed the problem
of objective appraisal of scientific growth in terms of progressive and
degenerating problem shifts in series of scientific theories. The most
important such series in the growth of science are characterized by a
certain continuity which connects their members. This continuity evolves
from a genuine research programme adumbrated at the start. The programme
consists of methodological rules: some tell us what paths of research
to avoid (negative heuristic), and others what paths to pursue (positive
heuristic).1
Even science as a whole can be regarded as a huge research programme with
Popper's supreme heuristic rule : `devise conjectures which have more
empirical content than their predecessors.' Such methodological rules
may be formulated, as Popper pointed out, as metaphysical principles.2
For instance, the universal anti-conventionalist rule against exception-barring
may be stated as the metaphysical principle: `Nature does not allow exceptions'.
This is why Watkins called such rules `influential metaphysics'.3
But what I have primarily in mind is not science as a whole, but rather
particular research programmes, such as the one known as `Cartesian metaphysics'.
Cartesian metaphysics, that is, the mechanistic theory of the universe-according
to which the universe is a huge clockwork (and system of vortices) with
push as the only cause of motion-functioned as a powerful heuristic principle.
It discouraged work on scientific theories - like (the `essentialist'
version of) Newton's theory of action at a distance-which were inconsistent
with it (negative heuristic). On the other hand, it encouraged work on
auxiliary hypotheses which might have saved it from apparent counterevidence
-like Keplerian ellipses (positive heuristic).4
(a) Negative heuristic: the `hard core' of the programme.
All scientific research programmes may be characterized by their `hard
core'. The negative heuristic of the programme forbids us to direct the
modus tollens at this `hard core'. Instead, we must use our ingenuity
to articulate or even invent `auxiliary hypotheses', which form a protective
belt around this core, and we must redirect the modus tollens to these.
It is this protective belt of auxiliary hypotheses which has to bear the
brunt of tests and get adjusted and re-adjusted, or even completely replaced,
to defend the thus-hardened core. A research programme is successful if
all this leads to a progressive problem shift; unsuccessful if it leads
to a degenerating problem shift.
The classical example of a successful research programme is Newton's gravitational
theory : possibly the most successful research programme ever. When it
was first produced, it was submerged in an ocean of `anomalies' (or, if
you wish, `counterexamples'5), and opposed by the observational theories
supporting these anomalies. But Newtonians turned, with brilliant
tenacity
and ingenuity, one counter-instance after another into corroborating instances,
primarily by overthrowing the original observational theories in the light
of which this `contrary evidence' was established. In the process they
themselves produced new counter-examples which they again resolved. They
`turned each new difficulty into a new victory of their programme.6
In Newton's programme the negative heuristic bids us to divert the
modus tollens from Newton's three laws of dynamics and his law of gravitation.
This `core' is `irrefutable' by the methodological decision of its protagonists:
anomalies must lead to changes only in the `protective' belt of auxiliary,
`observational' hypothesis and initial conditions7.
I have given a contrived micro-example of a progressive Newtonian problemshift.8
If we analyse it, it turns out that each successive link in this exercise
predicts some new fact; each step represents an increase in empirical
content: the example constitutes a consistently progressive theoretical
shift. Also, each prediction is in the end verified ; although on three
subsequent occasions they may have seemed momentarily to be `refuted'.9
While `theoretical progress' (in the sense here described) may be verified
immediately,10 `empirical progress' cannot, and in a research programme
we may be frustrated by a long series of `refutations' before ingenious
and lucky content-increasing auxiliary hypotheses turn a chain of defeats
-with hindsight- into a resounding success story, either by revising some
false `facts' or by adding novel auxiliary hypotheses. We may then say
that we must require that each step of a research programme be consistently
content-increasing: that each step constitute a consistently progressive theoretical
problem shift. All we need in addition to this is that at least
every now and then the increase in content should be seen to be retrospectively
corroborated: the programme as a whole should also display an intermittently
progressive empirical shift. We do not demand that each step produce
immediately an observed new fact. Our term `intermittently' gives sufficient
rational scope for dogmatic adherence to a programme in face of prima
facie `refutations'.
The idea of `negative heuristic' of a scientific research programme rationalizes
classical conventionalism to a considerable extent. We may rationally
decide not to allow `refutations' to transmit falsity to the hard core
as long as the corroborated empirical content of the protecting belt of
auxiliary hypotheses increases. But our approach differs from Poincare's
justificationist conventionalism in the sense that, unlike Poincare's,
we maintain that if and when the programme ceases to anticipate novel
facts, its hard core might have to be abandoned: that is, our hard core,
unlike Poineare's, may crumble under certain conditions. In this sense
we side with Duhem who thought that such a possibility must be allowed
for11 but for Duhem the reason for such crumbling is purely aesthetic11,
while for us it is mainly logical and empirical.
(b) Positive heuristic: the construction of the `protective belt' and
the relative autonomy of theoretical science.
Research programmes, besides their negative heuristic, are also characterized
by their positive heuristic.
Even the most rapidly and consistently progressive research programmes
can digest their `counter-evidence' only piecemeal: anomalies are never
completely exhausted. But it should not be thought that yet unexplained
anomalies-`puzzles' as Kuhn might call them- are taken in random order,
and the protective belt built up in an eclectic fashion, without any preconceived
order. The order is usually decided in the theoreticials's cabinet, independently
of the known anomalies. Few theoretical scientists engaged in a research
programme pay undue attention to `refutations'. They have a long-term
research policy which anticipates these refutations. This research policy,
or order of research, is set out-in more or less detail-in the positive
heuristic of the research programme. The negative heuristic specifies
the `hard core' of the programme which is `irrefutable' by the methodological
decision of its protagonists; the positive heuristic consists of a partially
articulated set of suggestions or hints on how to change, develop the
`refutable variants' of the research-programme, how
to modify, sophisticate, the `refutable' protective belt.
The positive heuristic of the programme saves the scientist from becoming
confused by the ocean of anomalies. The positive heuristic sets out a
programme which lists a chain of ever more complicated models simulating
reality : the scientist's attention is riveted on building his models
following instructions which are laid down in the positive part of his
programme. He ignores the actual counterexamples, the available `data'13.
Newton first worked out his programme for a planetary system with a fixed
point-like sun and one single point-like planet. It was in this model
that he derived his inverse square lavw for Kepler's ellipse. But this
model was forbidden by Newton's own third law of dynamics, therefore the
model had to be replaced by one in which both sun and planet revolved
round their common centre of gravity. This change was not motivated by
any observation (the data did not suggest an `anomaly' here) but by a
theoretical difficulty in developing the programme. Then he worked out
the programme for more planets as if there were only heliocentric but
no interplanetary forces. Then he worked out the case where the sun and
planets were not mass-points but mass-balls.
Again, for this change he
did not need the observation of an anomaly ; infinite density was forbidden
by an (unarticulated) touchstone theory, therefore planets had to be extended.
This change involved considerable mathematical difficulties, held up Newton's
work-and delayed the publication of the Principia by more than a decade.
Having solved this `puzzle', he started work on spinning balls and their
wobbles. Then he admitted interplanetary forces and started work on perturbations.
At this point he started to look more anxiously at the facts. Many of
them were beautifully explained (qualitatively) by this model, many were
not. It was then that he started to work on bulging planets, rather than
round planets, etc.
Newton despised people who, like Hooke, stumbled on a first naive model
but did not have the tenacity and ability to develop it into a research
programme, and who thought that a first version, a mere aside, constituted
a `discovery'. He held up publication until his programme had achieved
a remarkable progressive shift.14
Most, if not all, Newtonian puzzles leading to a series of new variants
superseding each other, were forseeable at the time of Newton's first
naive model and no doubt Newton and his colleagues did forsee them: Newton
must have been fully aware of the blatant falsity of his first variants.15
\Nothing shows the existence of a positive heuristic of a research programme
clearer than this fact: this is why one speaks of `models' in research
programmes. A `model' is a set of initial conditions (possibly together
with some of the observational theories) which one knows is bound to be
replaced during the further development of the programme, and one even
knows, more or less, how. This shows once more how irrelevant `refutations'
of any specific variant are in a research programme : their existence
is fully expected, the positive heuristic is there as the strategy both
for predicting (producing) and digesting them. Indeed, if the positive
heuristic is clearly spelt out, the difficulties of the programme are
mathematical rather than empirical.16
One may formulate the `positive heuristic' of a research programme as
a `metaphysical' principle. For instance one may formulate Newton's programme
like this : `the planets are essentially gravitating spinning-tops of
roughly spherical shape'. This idea was never rigidly maintained: the
planets are not just gravitational, they have also, for example, electromagnetic
characteristics which may influence their motion. Positive heuristic is
thus in general more flexible than negative heuristic. Moreover, it occasionally
happens that when a research programme gets into a degenerating phase,
a little revolution or a creative shift in its positive heuristic may
push it forward again.17 It is better therefore to separate the `hard
core' from the more flexible metaphysical principles expressing the positive
heuristic.
Our considerations show that the positive heuristic forges ahead with
almost complete disregard of `refutations': it may seem that it is the
`verifications'18 rather than the refutations which provide the contact
points with reality. Although one must point out that any `verification'
of the n+ 1-th version of the programme is a refutation of the n-th version,
we cannot deny that some defeats of the subsequent versions are always
foreseen: it is the `verifications' which keep the programme going, recalcitrant
instances notwithstanding.
We may appraise research programmes, even after their `elimination', for
their heuristic power: how many new facts did they produce, how great
was their capacity to explain their refutations in the course of their
growth'?19 (We may also appraise them for the stimulus they gave to
mathematics.
The real difficulties for the theoretical scientist arise rather from
the mathematical difficulties of the programme than from anomalies. The
greatness of the Newtonian programme comes partly from the development-
by Newtonians- of classical infinitesimal analysis which was a crucial
precondition of its success.)
Thus the methodology of scientific research programmes accounts for the
relative autonomy of theoretical science: a historical fact whose rationality
cannot be explained by the earlier falsificationists. Which problems scientists
working in powerful research programmes rationally choose, is determined
by the positive heuristic of the programme rather than by psychologically
worrying (or technologically urgent) anomalies. The anomalies are listed
but shoved aside in the hope that they will turn, in due course, into
corroborations of the programme. Only those scientists have to rivet their
attention on anomalies who are either engaged in trial- and-error exercises20
or who work in a degenerating phase of a research programme when the positive
heuristic ran out of steam. (All this, of course, must sound repugnant
to naive falsificationists who hold that once a theory is 'refuted' by
experiment (by their rule book), it is irrational (and dishonest) to develop
it further: one has to replace the old `refuted' theory by a new, unrefuted
one.)
(d) A new look at crucial experiments: the end of instant rationality.
It would be wrong to assume that one must stay with a research programme
until it has exhausted all its heuristic power, that one must not introduce
a rival programme before everybody agrees that the point of degeneration
has probably been reached. (Although one can understand the irritation
of a physicist when, in the middle of the progressive phase of a research
programme, he is confronted by a proliferation of vague metaphysical theories
stimulating no empirical progress.21) One must newr allow a research programme
to become a Weltanschauung, or a sort of scientific rigour, setting itself
up as an arbiter between explanation and non-explanation, as mathematical
rigour sets itself up as an arbiter between proof and non-proof.
Unfortunately this is the position which Kuhn tends to advocate:
indeed, what he calls 'normal science' is nothing but a research programme
that has achieved monopoly. But, as a matter of fact, research programmes
have achieved complete monopoly only rarely and then only for relatively
short periods, in spite of the efforts of some Cartesians, Newtonians
and Bohrians. The history of science has been and should be a history
of competing research programnmes (or, if you wish, paradigmms'), but
it has not been and must not become a succession of periods of noormal
science: tlle sooner comnpetition starts, the better for progress. `Theoretical
pluralism' is better than `theoretical monism': on this point Popper and
Feyerabend are right and Kuhn is wrong.22
The idea of competing scientific research programmes leads us to the problem:
how are research programmnes eliminated? It has transpired from our previous
considerations that a degenerating problemshift is no more a sufficient
reason to eliminate a research programme than some oldfashioned 'refutation'
or a Kuhnian 'crisis'. Can there be amly objective (as opposed to socio-psychological)
reason to reject a prugramme, that is, to eliminate its hard core and
its programme for constructing protective belts? Our answer, in outline,
is that such an objective reason is provided by a rival research programme
which explains the previous success of its rival and supersedes it by
a further display of heuristic power.23
However, the criterion of `heuristic power' strongly depends on how we
construe `factual novelty'. Until now we have assumed that it is immediately
ascertainable whether a new theory predicts a novel fact or not24 But
the novelty of a factual proposition can frequently be seen only after
a long period has elapsed. In order to show this, I shall start with an
example.
Bohr's theory logically implied Balmer's formula for hydrogen lines a
consequence25. Was this a novel fact? One might have been tempted to deny
this, since after all, Balmer's formula was well- known. But this is a
half-truth. Balmer merely `observed' B1: that hydrogen lines obey the
Balmer formula. Bohr predicted B2: that the differences in the energy
levels in different orbits of the hydrogen electron obey the Balmer formula.
Now one may say that B1 already contains all the purely `observational'
content of B2. But to say this presupposes that there can be a pure `observational
level', untainted by theory, and impervious to theoretical change. In
fact, B1 was accepted only because the optical, chemical and other theories
applied by Balmer were well corroborated and accepted as interpretative
theories ; and these theories could alvways be questioned. It might be
argued that we can `purge' even B1 of its theoretical presuppositions,
and arrive at what Balmer really `observed', which might be expressed
in the more modest assertion, B0: that the lines emitted in certain tubes
in certain well-specified circumstances (or in the course of a `controlled
experiment'26) obey the Balmer formula. Now some of Popper's arguments
show that we can never arrive at any hard `observational' rock-bottom
in this way; `observational' theories can easily be shown to be involved
in B0 .27 On the other hand, given that Bohr's programme after a long
progressive development, had shown its heuristic power, its hard core
would itself have become well corroborated28 and therefore qualified as
an `observational' or interpretative theory. But then B2 will be seen
not as a mere theoretical reinterpretation of B1, but as a new fact in
its own right.
These considerations lend new emphasis to the hindsight element in our
appraisals and lead to a further liberalization of our standards. A new
research programme which has just entered the competition may start by
explaining `old facts' in a novel way but may take a very long time before
it is seen to produce `genuinely novel' facts. For instance, the kinetic
theory of heat seemed to lag behind the results of the phenomenological
theory for decades before it finally overtook it with the Einstein-Smoluchowski
theory of Brownian motion in l905. After this, what had previously seemed
a speculativre reinterpretation of old facts (about heat, etc.) turned
out to be a discovery of novel facts (about atoms).
All this suggests that we must not discard a budding research programme
simply because it has so far failed to overtake a powerful rival. We should
not abandon it if, supposimg its rival were not there, it would constitute
a progressive problemshift29.And we should certainly regard a newly interpreted
fact as a new fact, ignoring the insolent priority claims of amateur fact
collectors. As long as a budding research programme can be rationally
reconstructed as a progressive problemshift, it should be sheltered for
a while from a powerful established rival.30
These considerations, on the whole, stress the importance of methodological
tolerance, and leave the question of how research programmes are eliminated
still unanswered. The reader may even suspect that laying this much stress
on fallibility liberalizes or, rather, softens up, our standards to the
extent that we will be landed with radical scepticism. Even the celebrated
`crucial experiments' will then have no force to overthrow a research
programme; anything goes.31
But this suspicion is unfounded. Within a research programme `minor crucial
experiments' between subsequent versions are quite common. Experiments
easily `decide' between the n-th and n+ 1-th scientific version, since
the n+ 1-th is not only inconsistent with the n-th, but also supersedes
it. If the n+ 1-th version has more corroborated content in the light
of the same programme and in the light of the same well corroborated observational
theories elimination is a relatively routine affair (only relatively,
for even here this decision may be subject to appeal). Appeal procedures
too are occasionally easy: in many cases the challenged observational
theory, far from bein well corroborated, is in fact an inarticulate, naive,
hidden assumption; it is only the challenge which reveals the existence
of this hidden assumption, and brings about its articulation, testing
and downfall. Time and again, however, the observational theories are
themselves embedded in some research programme and then the appeal procedure
leads to a clash between two research programmes : in such cases we may
need a `major crucial experiment'.
When two research programmes compete, their first `ideal' models usually
deal with different aspects of the domain (for example, the first model
of Newton's semi-corpuscular optics described light-refraction, the first
model of Huyghens's wave optics light-interference). As the rival research
programmes expand, they gradually encroach on each other's territory and
the n-th version of the first will be blatantly, dramatically inconsistent
with the m-th version of the second.32 An experiment is repeatedly performed,
and as a result, the first is defeated in this battle, while the second
wins. But the war is not over: any research programme is allowed a few
such defeats. All its needs for a comeback is to produce an n+1-th (or
n+k-th) content-increasing version and a verification of some of its novel
content.
If such a comeback, after sustained effort, is not forthcoming, the war
is lost and the original experiment is seen, with hindsight, to have been
`crucial'.
But especially if the defeated programme is a young, fast-developing
programme, and if we decide to give sufficient credit to its `prescientific'
successes, allegedly crucial experiments dissolve one after the other
in the wake of its forward surge. Even if the defeated programme is an
old, established and `tired' programme, near its `natural saturation point',33
it may continue to resist for a long time and hold out with ingenious
content-increasing innovations even if these are unrewarded with empirical
success. It is very difficult to defeat a research programme supported
by talented, imaginative scientists. Alternatively, stubborn defenders
of the defeated programme may offer ad hoc explanations of the experiments
or a shrewd ad hoc `reduction' of the victorious programme to the defeated
one. But such efforts we should reject as unscientific.34
Our considerations explain why crucial experiments are seen to be crucial
only decades later. Kepler's ellipses were generally admitted as crucial
evidence for Newton and against Descartes only about one hundred years
after Newton's claim. The anomalous behaviour of Mercury's perihelion
was known for decades as one of the many yet unsolved difficulties in
Newton's programme; but only the fact that Einstein's theory explained
it better transfornmed a dull anomaly into a brilliant `refutation' of
Newton's research programme.35 Young claimed that his double-slit experiment
of 1802 was a crucial experiment between the corpuscular and the wave
programmes of optics; but his claim whas only acknowledged much later,
after Fresnel developed the wave programme nmuch further `progressively'
and it became clear that the Newtonians could not match its heuristic
power. The anomaly, which had been known for decades, received the honorific
title of refutation, the experiment the honorific title of `crucial experiment'
only after a long period of uneven development of the two rival programmes.
Brownian motion was for nearly a century in the middle of the battlefeld
before it was seen to defeat the phenomenological research programme and
turn the war in favour of the atomists. Michelson's `refutation' of the
Balmer series was ignored for a generation until Bohr's triumphant research
programme backed it up.
It may be wrorthwhile to discuss in detail some examples of experiments
whose `crucial' character became evident only retrospectively. First I
shall take the celebrated Michelson-Morley experiment of 1887 which allegedly
falsified the ether theory and `led to the theory of relativity', then
the Lummer-Pringsheim experiments which allegedly falsified the classical
theory of radiation and `led to the quantum theory'. Finally I shall discuss
an experiment which many physicists thought would turn out to decide against
the conservation laws but which, in fact, ended up as their most triumphant
corroboration.
Notes:
1 One may point out that the negative and positive heuristic gives a rough
(implicit) definition of the `conceptual framewbork' (and consequently
of the language). The recognition that the history of sciencc is the history
of research programmes rather than of theories may therefore be seen as
a partial vindication of the view that the history of science is the history
of conceptual frameworks or of scientific languages.
2 Popper [1934], sections 11 and 7uo. I use `metaphysical' as a technical
ternl of naive falsificationism : a contingent proposition is `metaphysical'
if it has no,potential falsifiers'
3 Watkins (1g58). Watkins cautions that `the logical gap between statements
and prescriptions in the metaphysical-methodological field is illustrated
by the fact that a person may reject a [metaphysical) doctrine in its
fact-stating form wrhile subseribing to the preseriptive version of it'
(Ibid. pp. 356-7).
4 For this Cartesian research programme,cf. Popper[1958)andWatkins(1g58],pp.35o-I.
5 For the clarification of the concepts of 'counterexample' and `anomaly'
cf. abovc, p.11 o, and especially below, p. r59, text to footnote 1.
6 Laplace [r7ugo], livre IV, chapter ii.
7 The actual hard core of a programme does not actually emerge fully armed
like Athene from the head of Zeus. It develops slowrly, by a lolig, preliminary
process of trial and error. In this paper this process is not discussed.
8 Cf. nbove, pp. 1oo-1. For meal examples, cf. my [19731.
9 Thc 'refutatioli was each time successfully diverted to `hidden lemmas';
that is, to lemmas emerging, as it were, from the ceter2s paribus clause.
10 But cf. below, pp. 155-7.
11 Cf. nbove, p. 1o5.
12 Ibid.
13 If a scientist (or mathematician) has a positive heuristic, he refuses
to be drawn into observation. He will `lie down on hia couch, shut his
eyes and forget about the data'.
(Cf. my [1963-4), especiaDy pp. 3oo ff.,wherc there is a detailed casc
study of such a programme.) Occasionally, of course, he will ask Nature
a shrewd question : he will then be encouraged by Nature's YES, but not
discouraged by its NO.
14/ Reichenbach, follovwing Cajori, gives a different explanation of what
delayed Newton in the publication of his Principia : 'To his disappointment
he found that the observational results disagreed with his calculations.
Rather than set any theory, however beautiful, before the facts, Newton
put the manuscript of his theory into his drawer. Some twenty years later,
after new measurements of the circumference of the earth had been made
by a French expedition, Newton saw that the figures on which he had based
his test were false and that the improved figures agreed with his theoretical
calculation. It was only after this test that he published his law. .
. The story of Mhewton is one of the most striking illustrations of the
method of modem science' (Reichenbach [r951), pp. ro1-z). Feyerabend critirizes
Reichenbach's account (Feyerabend [1g65), p. 22g), but does not
give an altemative rationalr.
15/ For a further discussion of Newton's research programme, cf. my [1gr3].
16/ For this point cf. TruesdSl! [ly6o).
17/ Soddy's contribution to Prout's programme or Pauli's to Bohr's (old
quantum theory) programme are typical examples of such creative shifts.
18/ A 'verification' is a corroboration of excess content in the expanding
programme.But, of course,a 'verification' does not verify a programme
: it shows only its heuristic power.
19/ Cf.my [1963-4),PP.324-3o.Unfortunately in 1g63-4I had not yet made
a clear terminological distinetion betvwreen theories and research programmes,and
this impaired my exposition of a research programnme in informal,qlmasi-empirical
mathematics.There are fewher such shortcomings in my,[19;4].
20/ Cf.beloauv,p.1?5.
footnotes
21/ This is what must have irritated N Newton most in the `sceptical proliferation
of theories'
by Cartesians. Cf. my [h973]o
22/ Nevertheless there is something to be said for at least some people
sticking to a research
programme until it reaches its `saturation point' ; a new programme is
then challenged to
account for the full success of the old. It is no argument against this
that the rival may,
when it was flrst proposed, already have explained al the success of the
first programme ;
the growth of a research programe cannot be predicted-it may stimulate
important
unforeseeable auxiliary theories of its own. Also, if a version An of
a research programme
P1 is mathematically equivalent to a version Am of a rival P2, one should
develop both:
their heuristic strength can still be very different.
23/ I use 'heuristic power' here as a technical term to characterize the
power of a research
programme to anticipate theoretically novel facts in its grovvth. I could
of course thse
'explanatorypower': cE above, p.1t9, footnote 1.
24/ Cf. nbove, p. hhb, text to footnote z, and p. h34, text to footnote
3.
25/ Cf. above, p.147.
26/ Cf. above, p.111, footnote 6.
27/ One of Popper's arguments is particularly important: 'There is a widespread
belief
that the statement "I see that this table here is white", possesses
some profound advantage
over the statement "This table here is white", from the point
of view of epistemology.
But from the point of view of evaluating its possible objective tests,
the first statement, in
speaking about me, does not appear more secure than the second statement,
which speaks
about the table here' ([1934, section 27). M Neurath makes a characteristically
blockheaded
comment on this passage: 'For us such protocol statements have the advantage
of having
mome stabilmty. One may retain the statement: "People in the loth
century saw fiery swords
in the sky" while crossing out "There were fiery swords in the
sky" ' (Neurath (1935, Po 362).
28/ This memark, inctdentally, defines a 'degree of comroboration' fom
the 'irrefsutable' hard cores
oJ research programmes. Newton's theoryo (in isolation) hnd no rmpiricnl
content, yet it was,
im this sense, highlyo corroborated.
29/ Incidentally, in the methodology of research programmes, the pragmatic
meaning of
'rejection' (of a programme) becomes crvystal clear : it means the decision
to cease working on
it.
30/ Some might regardcautiously-this sheltered period of development as
`presc2entific'
(or `theoretical') ; and be prepared only when it starts producing 'genuinely
novel' facts to
recognize its truly scientlfic (or 'empirical') character-but then their
recognition will have
to be retroactive.
31/ Incidentally, this con Jfict between fallibllity and criticis,n can
be rhglmtly said to be thc
mnain Qroblem-and drih;ing force-of the Popperian research programme in
the theory of
lknowledge.
32/ An especially interesting case of such competition is competitive
symbiosis, when a
new programe is grafted on to an old one which is inconsistent with it;
cf. above, p.142
33/ There is not such thing as a natural 'saturation point'; in my [1963-4),
especially on
pp. 327-8, I was more of a Hegelian, and I thought there was; now I use
the expression
with an ironical emphasis. There is no predictable or ascertainable limitation
on human
imagination in inventing new, content-increasing theories or on the 'cunning
of reason'
(List der Vertmunft) in rewarding them with some empirical success even
if they are false
or even if the new theory has less verisimilitude-in Popper's sense-than
its predecessor.
(Probably all scientific theories ever uttered by men will be false :
they still mav, 5e revvoarded
by empirical successes and even have increasing verisimilitude.)
34/ For an example, cf. above, p.126, footnote 2.
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