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00100 .SEC EXPLANATIONS AND MODELS
00200 .SS The Nature of Explanation
00300 It is perhaps as difficult to explain explanation itself as
00400 it is to explain anything else. The explanatory practices of
00500 different sciences differ widely but they all share the purpose of
00600 someone attempting to answer someone else's (or his own)
00700 why-how-what-etc. questions about a situation, event, episode, object
00800 or phenomenon. Thus explanation implies a dialogue whose participants
00900 share some interests, beliefs, and values. A consensus must exist
01000 about admissable and appropriate questions and answers. The
01100 participants must agree on what is a sound and reasonable question
01200 and what is a relevant, intelligible, and (believed) correct answer.
01300 The explainer tries to satisfy a questioner's curiosity by making
01400 comprehensible why something is the way it is. The answer may be a
01500 definition, an example, a synonym, a story, a theory, a
01600 model-description, etc. The answer attempts to satisfy curiosity by
01700 settling belief.
01800 .V
01900 Suppose a man dies and a questioner (Q) asks an explainer (E):
02000 .END CONTINUE
02100 Q: Why did the man die?
02200 One answer might be:
02300 .V
02400 E: Because he took cyanide.
02500 .END CONTINUE
02600 This explanation might be sufficient to satisfy Q's curiosity and he
02700 stops asking further questions. Or he might continue:
02800 .V
02900 Q: Why did the cyanide kill him?
03000 .END CONTINUE
03100 and E replies:
03200 .V
03300 E: Anyone who ingests cyanide dies.
03400 .END CONTINUE
03500 This explanation appeals to a universal generalization under which is
03600 subsumed the particular fact of this man's death. Subsumptive
03700 explanations satisfy some questioners but not others who, for
03800 example, might want to know about the physiological mechanisms
03900 involved.
04000 .V
04100 Q: How does cyanide work in causing death?
04200 E: It stops respiration so the person dies from lack of oxygen.
04300 .END CONTINUE
04400 If Q has biochemical interests he might inquire further:
04500 .V
04600 Q:What is cyanide's mechanism of drug action on the
04700 respiratory center?
04800 center?
04900 .END CONTINUE
05000 The last two questions refers to causes. When human action is
05100 to be explained, confusion easily arises between appealing to
05200 physical, mechanical causes and appealing to symbolic-level reasons,
05300 that is, learned, acquired procedures or strategies (Toulmin, 1971).
05400 It is established clinical knowledge that the phenomena of
05500 the paranoid mode can be found associated with a variety of physical
05600 disorders. For example, paranoid thinking can be found in patients
05700 with head injuries, hyperthyroidism, hypothyroidism, uremia,
05800 pernicious anemia, cerebral arteriosclerosis, congestive heart
05900 failure, malaria and epilepsy. Also drug intoxications due to
06000 alcohol, amphetamines, marihuana and LSD can be accompanied by the
06100 paranoid mode. In these cases the paranoid mode is not a first-order
06200 disease but a way of processing information in reaction to some other
06300 underlying disorder. To account for the association of paranoid
06400 thought with these physical states of illness, a psychological
06500 theorist might be tempted to hypothesize that a purposive cognitive
06600 system would attempt to explain a physical illness state by
06700 constructing persecutory beliefs blaming other human agents for the
06800 ill-being of the disease state. But before making such an explanatory
06900 move, we must consider the elusive distinction between reasons and
07000 causes in explanations of human behavior.
07100 One view of the association of the paranoid mode with
07200 physical disorders might be that the physical illness simply causes
07300 the paranoia ,through some unknown mechanism, at a "hardware" level
07400 beyond the influence of deliberate reprogramming and beyond voluntary
07500 self-control. That is, the resultant paranoid mode represents
07600 something that happens to a person as victim, not something that he
07700 does as an active agent. Another view is that the paranoid mode can
07800 be explained in terms of reasons, justifications which describe an
07900 agent's intentions and beliefs. Does a person as an agent
08000 recognize, monitor and control what he is doing or trying to do? Or
08100 does it just happen to him automatically without conscious
08200 deliberation? This question raises a third view, namely that
08300 unrecognized (but potentially recognizable) reasons, aspects of the
08400 program which are sealed off and inacessible to voluntary control,
08500 can function like causes. Once brought to consciousness such reasons
08600 can be modified voluntarily by the agent, as a language user, by
08700 reflexively talking to and instructing himself. This second-order
08800 monitoring and control through language contrasts with an agent's
08900 inability to modify causes which lie beyond the influence of
09000 self-criticism and change through internal linguistically mediated
09100 argumentation. Timeworn conundrums about concepts of free-will,
09200 determinism, responsibility, consciousness and the powers of mental
09300 action here plague us unless we stick closely to a computer analogy
09400 which makes a clear and useful distinction between levels of
09500 hardware, interpreter and programs. (See p. 000 in Chap 2)
09600
09700 Each of these three views provides a serviceable perspective
09800 depending on how a disorder is to be explained and corrected. When
09900 paranoid processes occur during amphetamine intoxication they might
10000 be viewed as biochemically caused and beyond the patient's ability to
10100 control volitionally through internal self-correcting dialogues with
10200 himself. When a paranoid moment occurs in a normal person, it can be
10300 viewed as having a mistinterpretation as a reason. If the paranoid
10400 misinterpretation is recognized as such, a person has the power to
10500 revise or reject it through internal debate. Between these extremes
10600 of drug-induced paranoid processes and the self-correctible paranoid
10700 moments of the normal person, lie cases of paranoid personalities
10800 paranoid reactions and the paranoid mode associated with the major
10900 psychoses (schizophrenic and manic-depressive).
11000 One opinion has it that the major psychoses are a consequence
11100 of unknown physical "hardware" causes and are beyond deliberate
11200 voluntary control. But what are we to conclude about paranoid
11300 personalities and paranoid reactions where no hardware disorder is
11400 detectable or suspected? Are such persons to be considered patients
11500 to whom something is mechanically happening or are they agents whose
11600 behavior is a consequence of what they do? Or are they both agent
11700 and patient depending on on how one views the self-modifiability of
11800 their symbolic processing? In these perplexing cases we shall take
11900 the position that in normal, neurotic and characterological paranoid
12000 modes, the psychopathlogy represents something that happens to a man
12100 as a consequence of what he has experientially undergone, of
12200 something he now does, and something he now undergoes. Thus he is
12300 both agent and victim whose symbolic processes have powers to do and
12400 liabilities to undergo. His liabilities are reflexive in that he
12500 is victim to, and can succumb to, his own symbolic structures.
12600
12700 From this standpoint I would postulate a duality between
12800 reasons and causes. That is, a reason can operate as an unrecognized
12900 cause in one context and be offered as a recognized justification in
13000 another. It is, of course, not the reason itself which serves as a
13100 cause but having the reason. Human symbolic behavior is
13200 non-determinate to the extent that it is self-determinate. Thus the
13300 power to make some decisions freely and to change one's mind is
13400 non-illusory. When a reason is recognized to function as a cause
13500 and is accessible to self-monitoring, it may be changed or rejected.
13600 In this sense a two-levelled system involving an interpreter and its
13700 programs is self- changeable and self-correcting, within limits.
13800 .END
13900 Explanations both in terms of causes and reasons can be
14000 indefinitely extended and endless questions can be asked at each
14100 level of analysis. Just as the participants in explanatory dialogues
14200 decide what is taken to be problematic, so they also determine the
14300 termini of questions and answers. Each discipline has its
14400 characteristic stopping points and boundaries.
14500 In the background of explanatory dialogues are larger and
14600 smaller constellations of concepts which are taken for granted as
14700 nonproblematic background. Hence in considering the strategies of
14800 the paranoid mode `it goes without saying', that is, transcending
14900 this particular mode of functioning is the fact that any living
15000 teleonomic system ,as the larger constellation , strives for
15100 maintenance and expansion of life. Also it should go without saying
15200 that, at a lower level, ion transport takes place through nerve-cell
15300 membranes. Every function of an organism can be viewed a governing a
15400 subfunction beneath and depending on a transfunction above which
15500 calls it into play for a purpose.
15600 Just as there are many alternative ways of describing, there
15700 are many alternative ways of explaining. An explanation is geared to
15800 some level of what the dialogue participants take to be the
15900 fundamental structures and processes under consideration. Since in
16000 psychiatry we cope with patients' problems using mainly
16100 symbolic-conceptual techniques,(although it is true that the pill,
16200 the knife, and electricity are also available.), we are interested in
16300 aspects of human conduct which can be explained, understood, and
16400 modified at a symbol-processing level. Psychiatrists need theoretical
16500 symbolic systems from which their clinical experience can be
16600 logically derived to interpret the case histories of their patients.
16700 Otherwise they are faced with mountains of dross and indigestible
16800 data. "Science is an attempt to make the chaotic diversity of our
16900 sense experience correspond to a logically uniform system of thought
17000 by correlating single experiences with the theoretic structure."-
17100 Einstein.
17200 .SS The Symbol Processing Viewpoint
17300
17400 Segments and sequences of human behavior can be looked at
17500 from many standpoints. In this monograph I shall view sequences of
17600 paranoid symbolic behavior from an information processing standpoint.
17700 For a more complete explication and justification of this
17800 symbol-processing view, see Newell (1973) and Newell and Simon (1972).
17900 In brief, information is defined as knowledge in a symbolic
18000 code. A symbolic process is a symbol-manipulating activity posited
18100 to account for observable symbolic behavior such as linguistic
18200 interaction. Symbols are defined as representations of experience
18300 classified as objects, events, situations, and relations.
18400 Symbol-processing explanations postulate an underlying
18500 structure of hypothetical processes, functions, strategies, or
18600 directed symbol-manipulating procedures, having the power to produce
18700 and being responsible for the manifest phenomena. Such a structure
18800 offers an ethogenic (ethos = conduct or character, genic =
18900 generating) explanation for sequences or segments of symbolic
19000 behavior. (See Harre and Secord,1972). In adopting an ethogenic
19100 viewpoint, I shall posit processes, functions, procedures and
19200 strategies as being responsible for and having the power to generate
19300 the symbolic patterns and sequences characteristic of the paranoid
19400 mode. "Strategies" is perhaps the best general term since it
19500 implies ways of obtaining an objective which have suppleness and
19600 pliability since their choice of application depends on
19700 circumstances. However I shall use all these terms
19800 interchangeably.
19900
20000 .SS Symbolic Models
20100 Theories and models share many functions and are often
20200 considered equivalent. One important distinction lies in the fact
20300 that a theory states a subject has a certain structure but does not
20400 exhibit that structure in itself. (See Kaplan,1964). In the case of
20500 interactive simulation models, such as will be described, there
20600 exists a further distinction. Interactive simulation models,
20700 having the ability to converse in natural language using teletypes,
20800 actualize or realize a theory in the form of a dialogue algorithm. In
20900 contrast to a verbal, pictorial or mathematical representation, such
21000 a model changes its states over time and ends up in a state different
21100 from its initial state.
21200 In contrasting description from what is described, Einstein
21300 remarked that it is not the function of science to give the taste of
21400 the soup. But an interactive simulation model which reproduces a
21500 segment of reality does just that, since it offers an interviewer a
21600 first-hand experience with a concrete case. In constructing a
21700 computer simulation a theory is modelled to discover a sufficiently
21800 rich structure of assumptions to generate the observable behavior
21900 under study. A dialogue algorithm allows an observer to interact
22000 with a concrete specimen of a class in detail. In the case of our
22100 model, the level of detail is the level of the symbolic behavior of
22200 conversational language which is satisfying to a clinician who can
22300 compare the model with human counterparts at his familiar level of
22400 clinical dialogue. Communicating with the paranoid model by means of
22500 teletype, an interviewer can directly experience for himself the type
22600 of impaired social relationship which develops with someone in
22700 paranoid mode.
22800 An algorithm composed of symbolic computational procedures
22900 converts input symbolic structures into output symbolic structures
23000 according to certain principles. The modus operandi of a symbolic
23100 model is simply the workings of an algorithm when run on a computer.
23200 At this level of explanation, to answer `why?' means to provide an
23300 algorithm which makes explicit how symbolic structures collaborate,
23400 interplay and interlock - in short, how they are organized to
23500 generate patterns of manifest phenomena.
23600
23700 To simulate the sequential input-output behavior of a system
23800 using symbolic computational procedures, we write an alogorithm
23900 which, when run on a computer, produces symbolic behavior resembling
24000 that of the subject system being simulated. (Colby,1973) The
24100 resemblance is achieved through the workings of an inner posited
24200 structure in the form of an algorithm, an organization of
24300 symbol-manipulating procedures which are responsible for the
24400 characteristic observable behavior at the input-output level. Since
24500 we do not know the structure of the `real' simulative processes used
24600 by the mind-brain, our posited structure stands as an imagined
24700 theoretical analogue, a possible and plausible organization of
24800 processes analogous to the unknown processes and serving as an
24900 attempt to explain the workings of the system under study. A
25000 simulation model is thus deeper than a pure black-box explanation
25100 because it postulates functionally equivalent processes inside the
25200 box to account for observable patterns of behavior. A simulation
25300 model constitutes an interpretive explanation in that it makes
25400 intelligible the connections between external input, internal states
25500 and output by positing intervening symbol-processing procedures
25600 operating between symbolic input and symbolic output. An
25700 intelligible description of the model should make clear why and how
25800 it reacts as it does under various circumstances.
25900 Citing a universal generalization to explain an individual's
26000 behavior is unsatisfactory to a questioner who is interested in what
26100 powers and liabilities are latent behind manifest phenomena. To say
26200 `x is nasty because x is paranoid and all paranoids are nasty' may be
26300 relevant, intelligible and correct. But another type of explanation
26400 is possible, a model-explanation referring to a structure which can
26500 account for `nasty' behavior as a consequence of input and internal
26600 states of a system. A model explanation specifies particular
26700 antecedants and processes through which antecedants generate the
26800 phenomena. An ethogenic approach to explanation assumes perceptible
26900 phenomena display the regularities and nonrandom irregularities they
27000 do because of the nature of a imperceptible and inaccessible
27100 underlying structure. The posited theoretical structure is an
27200 idealization, unobservable in human heads, not because it is too
27300 small, but because it is imaginary.
27400 When attempts are made to explain human behavior, principles
27500 in addition to those accounting for the natural order are invoked.
27600 "Nature entertains no opinions about us", said Nietzsche, but human
27700 natures do , and therein lies a source of complexity for the
27800 understanding of human conduct. Until the first quarter of the 20th
27900 century, natural sciences have been guided by the Newtonian ideal of
28000 perfect process knowledge about inanimate objects whose behavior can
28100 be subsumed under lawlike generalizations. When a deviation from a
28200 law was noticed,it was the law which was modified, since by
28300 definition physical objects do not have the power to break laws. When
28400 the planet Mercury was observed to deviate from the orbit predicted
28500 by Newtonian theory, no one accused the planet of being an
28600 intentional agent breaking the law; something was incorrect about the
28700 theory. Subsumptive explanation is the acceptable norm in physics
28800 but it is seldom satisfactory in accounting for the behavior of
28900 living purposive systems. In considering the behavior of bodies
29000 falling in a macroscopic world, no one nowadays follows the
29100 Aristotelian pattern of attributing to them intentions to fall . But
29200 in the case of living systems, especially ourselves, our ideal
29300 explanatory practice remains Aristotelian in utilizing a concept of
29400 intention. Aristotle's misconception in physics was to extend to the
29500 macroscopic non-living world an intentionalistic concept of purpose
29600 appropriate to the living world as a principle of intelligibility.
29700 (See Ayala,1972).
29800 Consider a man participating in a high-diving contest. In
29900 falling towards the water he accelerates at the rate of 32 feet per
30000 second. Viewing the man simply as a falling body, we explain his rate
30100 of fall by appealing to a physical law. Viewing the man as a human
30200 intentionalistic agent, we explain his dive as the result of an
30300 intention to dive in a cetain way in order to win the diving contest.
30400 His conduct (in contrast to mere movement) involves an intended
30500 following of certain conventional rules for what is judged by humans
30600 to constitute, say, a swan dive. Suppose part way down he chooses to
30700 change his position in mid-air and enter the water thumbing his nose
30800 at the judges. He cannot break the law of falling bodies but he can
30900 break the rules of diving and make a gesture which expresses
31000 disrespect and which he believes will be interpreted as such by the
31100 onlookers. Our diver breaks a rule for diving but follows another
31200 rule which prescribes gestural action for insulting behavior. To
31300 explain the actions of diving and nose-thumbing, we would appeal, not
31400 to laws of natural order, but to an additional order, to principles
31500 of human order, superimposed on laws of natural order and which take
31600 into account (1)standards of appropriate action in certain situations
31700 and (2) the agent's inner considerations of intention, belief and
31800 value which he finds compelling from his point of view. In this type
31900 of explanation the explanandum, that which is being explained is the
32000 agent's informed actions, not simply his movements. When a human
32100 agent performs an action in a situation, we can ask: is the action
32200 appropriate to that situation and if not, why did the agent believe
32300 his action to be called for.
32400 As will be shown, symbol-processing explanations rely on
32500 concepts of intention, belief, action, affect, etc. These terms are
32600 close to the terms of ordinary language as is characteristic of early
32700 stages of explanations. It is also important to note that such terms
32800 are commonly utilized in describing computer algorithms which strive
32900 to achieve goals. In an algorithm these ordinary terms can be
33000 explicitly defined and represented.
33100 Psychiatry deals with the practical concerns of inappropriate
33200 action, belief, etc. on the part of a patient. His behavior may be
33300 inappropriate to the onlooker since it represents a lapse from the
33400 expected, a contravention of the human order. It may even appear this
33500 way to the patient in monitoring and directing himself. But
33600 sometimes, as in severe cases of the paranoid mode, the patient's
33700 behavior does not appear anomalous to himself. He maintains that
33800 anyone who understands his point of view, who conceptualizes
33900 situations as he does from the inside, would consider his outward
34000 behavior appropriate and justified. What he does not understand or
34100 accept is that his inner conceptualization is mistaken and represents
34200 a misinterpretation of the events of his experience.
34300 The model to be presented in the sequel constitutes an
34400 attempt to explain some regularities and particular occurrences of
34500 symbolic (conversational) paranoid behavior observable in the
34600 clinical situation of a psychiatric interview. The explanation is
34700 at the symbol-processing level of linguistically communicating agents
34800 and is cast in the form of a dialogue algorithm. Like all
34900 explanations it is incomplete and does not claim to represent the
35000 only conceivable structure of processes .
35100 .SS The Nature of Algorithms
35200
35300 Theories can be presented in various forms such as essays,
35400 mathematical equations and computer programs. To date most
35500 theoretical explanations in psychiatry and psychology have consisted
35600 of natural language essays with all their well-known vagueness and
35700 ambiguities. Many of these formulations have been untestable, not
35800 because relevant observations were lacking but because it was unclear
35900 what the essay was really saying. Clarity is needed.
36000 An alternative way of formulating psychological theories is
36100 now available in the form of symbol-processing algorithms, computer
36200 programs, which have the virtue of being clear and explicit in their
36300 articulation and which can be run on a computer to test internal
36400 consistency and external correspondence with the data of observation.
36500 The subject of a model is what it is a model of; the source of a
36600 model is what it is based upon. Since we do not know the `real'
36700 mind-brain algorithms, we construct a theoretical model, bades upon
36800 computer algorithms, which represents a partial analogy.
36900 (Harre,1970). (Harre, 1970). The analogy is made at the symbol-
37000 processing level, not at the hardware level. A functional,
37100 computational or procedural equivalence is being postulated. The
37200 question then becomes one of categorizing the extent of the
37300 equivalence. A beginning (first-approximation) functional
37400 equivalence might be defined as indistinguishability at the level of
37500 observable I-O pairs. A stronger equivalence would consist of
37600 indistinguishability at inner I-O levels. That is, there exists a
37700 correspondence between what is being done and how it is being done at
37800 a given level of operations.
37900 An algorithm represents an organization of symbol-processing
38000 strategies or functions which represent an `effective procedure'. It
38100 is essential to grasp this fundamental concept of computer
38200 simulation. An effective procedure consists of two compoments:
38300 .V
38400 (1) A programming language in which procedural rules of
38500 behavior can be rigorously and unambiguously specified.
38600
38700 (2) A machine processor which can rapidly and reliably carry
38800 out the processes specified by the procedural rules.
38900 .END
39000 The specifications of (1), written in a formally defined programming
39100 language, is termed an algorithm or program while (2) involves a
39200 computer as the machine processor, a set of deterministic physical
39300 mechanisms which can perform the operations specified in the
39400 algorithm. The algorithm is called `effective' because it actually
39500 works, performing as intended when run on the machine processor.
39600 A simulation model is composed of procedures analogous to the
39700 real and unknown procedures. We are not claiming they ARE
39800 analogous, we are MAKING them so. The analogy being drawn here is
39900 between specified processes and their generating systems. Thus
40000
40100 .V
40200 mental process computational process
40300 --------------:: ----------------------
40400 brain hardware computer hardware and
40500 and programs programs
40600 .END
40700
40800 Many of the classiclal mind-brain problems arose because there was
40900 nothing else in the world at the time to serve as a familiar analogy.
41000 With the advent of computers and programs some mind-brain
41100 perplexities disappear. (Colby,1973). The analogy is not simply
41200 between computer hardware and brain wetware. We are not comparing
41300 the structure of neurons with the structure of transisitors; we are
41400 comparing the organization of symbol-processing procedures in an
41500 algorithm with symbol-processing procedures of the mind-brain. The
41600 central nervous system contains a representation of the experience of
41700 its holder. A model builder has a conceptual representation of that
41800 representation which he demonstrates in the form of a model. Thus the
41900 model is a demonstration of a representation of a representation.
42000 Since we are taking running computer programs as a source of
42100 analogy for a paranoid model, errors or pathological behavior on the
42200 part of such programs are of interest to the psychopathologist.
42300 These errors can be ascribed to the hardware level, to the
42400 interpreter or to the programs which the interpreter executes.
42500 Different remedies are required at different levels. If the analogy
42600 is to be useful in the case of human pathological behavior, it
42700 becomes a matter of influencing symbolic behavior with the
42800 appropriate techniques.
42900 Since the algoritm is written in a programming language, it
43000 is hermetic except to a few people, who in general do not enjoy
43100 reading other people's code. Hence the intelligibility and
43200 scrutability requirement for explanations must be met in other ways.
43300 In an attempt to open the model to scrutiny I shall describe the
43400 model in detail using diagrams and interview examples profusely.
43500
43600
43700 .SS Analogy
43800 I have stated that an interactive simulation model of
43900 symbol-manipulating processes reproduces sequences of symbolic
44000 behavior at the level of linguistic communication. The reproduction
44100 is achieved through the operations of an algorithm which represents
44200 an organization of hypothetical symbol-processing strategies or
44300 procedures which can generate the I-O behavior of the subject-
44400 processes under investigation.The algorithm is be an "effective
44500 procedure" in the sense it really works in the manner intended by the
44600 model-builders. In the model to be described, the paranoid algorithm
44700 generates linguistic I/O behavior typical of patients whose
44800 symbol-processing is dominated by the paranoid mode. Comparisons can
44900 be made between samples of the I/O behaviors of patients and model.
45000 But the analogy is not to be drawn at this level. Mynah birds and
45100 tape recorders also reproduce human linguistic behavior but no one
45200 believes the reproduction is achieved by powers analogous to human
45300 powers. Given that the manifest outermost I/O behavior of the model
45400 is indistinguishable from the manifest outward I/O behavior of
45500 paranoid patients, does this imply that the hypothetical underlying
45600 processes used by the model are analogous to or the same as the
45700 underlying processes used by persons in the paranoid mode? This deep
45800 and far-reaching question should be approached with caution and only
45900 when we are first armed with some clear notions about analogy,
46000 similarity, faithful reproduction, indistinguishability and
46100 functional equivalence.
46200 In comparing two things (objects, systems or processes ) one
46300 can cite properties they have in common,(positive analogy),
46400 properties they do not share (negative analogy) and properties which
46500 we do not yet know whether they are positive or negative (neutral
46600 analogy). (See Hesse,1966). No two things are exactly alike in every
46700 detail. If they were identical in respect to all their properties
46800 then they would be copies. If they were identical in every respect
46900 including their spatio-temporal location we would say we have only
47000 one thing instead of two. Everything resembles something else and
47100 maybe everything else, depending upon how one cites properties.
47200 In an analogy a similarity relation is evoked. "Newton did
47300 not show the cause of the apple falling but he showed a similitude
47400 between the apple and the stars."(D`Arcy Thompson). Huygens suggested
47500 an analogy between sound waves and light waves in order to understand
47600 something less well-understood (light) in terms of something better
47700 understood (sound). To account for species variation, Darwin
47800 postulated a process of natural selection. He constructed an
47900 analogy from two sources, one from artificial selection as practiced
48000 by domestic breeders of animals and one from Malthus' theory of a
48100 competition for existence in a population increasing geometrically
48200 while its resources increase arithmetically. Bohr's model of the atom
48300 offered an analogy between solar system and atom. These well-known
48400 historical examples should be sufficient here to illustrate the role
48500 of analogies in theory construction. Analogies are made in respect
48600 to those properties which constitute the positive and neutral
48700 analogy. The negative analogy is ignored. Thus Bohr's model of
48800 the atom as a miniature planetary system was not intended to suggest
48900 that electrons possessed color or that planets jumped out of their
49000 orbits. .SS Functional Equivalence
49100 When human symbolic processes are the subject of a simulation
49200 model, we draw from two sources, symbolic computation and psychology,
49300 to construct an analogy between systems known to have the power to
49400 process symbols, namely, persons and computers. The properties
49500 compared in the analogy are obviously not physical or substantive
49600 such as blood and wires, but functional and procedural. We want to
49700 assume that the not well- understood procedures of thought in a
49800 person are similar to the somewhat better understood procedures of
49900 symbol-processing which take place in a computer. The analogy is
50000 one of functional or procedural equivalence. (For a further account
50100 of functional analysis see Hempel (1965)). Mousetraps are
50200 functionally equivalent. There exists a large set of physical
50300 mechanisms for catching mice. The term "mousetrap" says what all of
50400 the set has in common. They take as input a live mouse and yield as
50500 output a dead one. Systems equivalent from one point of view may not
50600 be equivalent from another. (Fodor,1968).
50700 If model and human are indistinguishable at the manifest
50800 level of linguistic I-O pairs, then they can be considered equivalent
50900 at that level. If they can be shown to be indistinguishable at
51000 more internal symbolic levels, then a stronger equivalence becomes
51100 achieved. How stringent and how extensive are the demands for
51200 equivalence to be? Must there be point-to-point correspondences at
51300 every level? What is to count as a point and what are the levels?
51400 Procedures can be specified and ostensively pointed to in an
51500 algorithm but how can we point to and observe inaccessible symbolic
51600 processes in a person's head? There is a limit to studying real
51700 "underlying processes". Einstein likened this situation to a man
51800 explaining the behavior of a watch without opening it: "He will
51900 never be able to compare his picture with the real mechanism and he
52000 cannot even imagine the possibility or meaning of such a comparison".
52100 (Evolution of Physics).
52200 In constructing an algorithm one puts together an
52300 organization of collaborating functions or procedures. A function
52400 takes some symbolic structure as input and yields some symbolic
52500 structure as output. Two computationally equivalent functions, having
52600 the same input and yielding the same output, can differ `inside' the
52700 function at the instruction level.
52800 Consider an elementary programming problem which students in
52900 symbolic computation are commonly asked to solve. Given a list L of
53000 symbols, L=(A B C D), as input, construct a function or procedure
53100 which will convert this list to the list RL in which the order of the
53200 symbols is reversed, i.e. RL=(D C B A). There are many ways of
53300 solving this problem. The correct solutions will be computationally
53400 equivalent at the input-output level since they take the same
53500 symbolic structures as input and produce the same symbolic output.
53600 If we propose that an algorithm we have constructed is
53700 functionally equivalent to what goes on in humans when they process
53800 symbolic structures, how can we justify this position ?
53900 Indistinguishability tests at, say, the linguistic level provide
54000 evidence only for beginning equivalence. We would like to be able to
54100 get inside the underlying processes in humans the way we can with an
54200 algorithm by inspecting its instructional code. (Admittedly we do not
54300 observe processes directly but only their products). The difficulty
54400 lies in identifying, making tangible and counting processes in human
54500 heads. Many experiments must be designed and carried out. We must
54600 have great patience with this type of experimental psychology.
54700 In the meantime, besides weak equivalence and plausibility
54800 arguments, one might appeal to extra-evidential support offering
54900 parallelisms from other relevant domains. One can offer analogies
55000 between what is known to go on at a molecular level in living
55100 organisms and what goes on in an algorithm. For example, a DNA
55200 molecule in the nucleus of a cell consists of an ordered sequence
55300 (list) of nucleotide bases (symbols) coded in triplets termed codons
55400 (words). Each element of the codon specifies which amino acid during
55500 protein synthesis is to be linked into the chain of polypeptides
55600 making up the protein. The codons function like instructions in a
55700 programming language. One codon is known to operate as a terminal
55800 symbol analogous to symbols in an algorithm which terminate the end
55900 of a list. If a stop codon appears in the middle of a sequence rather
56000 than at its normal terminal position, as in a point mutation, further
56100 protein synthesis is prevented. The polypeptide chain resulting is
56200 abnormal and may have lethal or trivial consequences for the organism
56300 depending on what other collaborating processes require to be handed
56400 over to them. Similarly in an algorithm. If a terminating symbol is
56500 incorrect in a procedure, the procedure cannot function. Such a
56600 result may be lethal or trivial to the algorithm depending on what
56700 role the faulty procedure plays in theoverall organization. Each
56800 function in an algorithm is embedded in an organization of
56900 collaborating functions just as is the case in living organisms. We
57000 know that at the molecular level of living organisms there exist
57100 rules for processes such as serial progression along a nucleotide
57200 sequence which are analogous to stepping down a list in an algorithm.
57300 Further analogies can be made between point mutations in which DNA
57400 codons can be inserted, deleted, substituted or reordered and
57500 symbolic computation in which the same operations are commonly
57600 carried out. Such analogies are interesting as extraevidential
57700 support but obviously closer linkages are needed between the
57800 macro-level of symbolic processes and the micro-level of molecular
57900 information-processing .
58000 To obtain evidence for the acceptability of a model,
58100 empirical tests are utilized in validation procedures. Such tests
58200 should also tell us which is the best among alternative versions of a
58300 model and among alternative models. Scientific explanations do not
58400 stand alone in isolation. They are evaluated relative to rival
58500 contenders for the position of "best available". Once we accept a
58600 theory or model as the best available, can we be sure it is correct
58700 or true? We can never know with certainty. Theories and models are
58800 provisional approximations to nature destined to become superseded by
58900 better ones.