From: AAAI Technical Report SS-92-02. Compilation copyright © 1992, AAAI (www.aaai.org). All rights reserved. The "Philosophical" Case Against Visual A "Crucial" Experiment. Images. Peter Slezak Center for Cognitive Science University of NewSouth Wales P.O. Box 1, Kensington 2033 NSW.,Australia cogsci@spinifex.eec s.unsw.oz.au New Focus for Imagery Debate In their study of reasoning with diagrammaticand nondia~,rammatic representations, Larkin and Simon(1987) are concerned with external representations and explicitly avoid drawinginferences about the bearing of their work on the issue of internal, mental representations. Nonetheless, we mayinfer the bearing of their work on internal representations from the theories of Kosslyn, Finke and other ’pictorialists’ who take internal representations to be importantly like external ones regarding their ’privileged’ spatial properties of depicting and resembling their referents. Thus, Finke (1990) suggests that "perceptual interpretive processes are applied to mental images in much the same way that they are applied to actual physical objects. In this sense, imaginedobjects can be "interpreted" muchlike physical objects" (1990, p. 18). Elsewhere he suggests that "The image discoveries which then ’emerge’ resemble the way perceptual discoveries can follow the active exploration and manipulationof physical objects" (1990, p. 171). After twenty years of controversy, the ’imagery debate’ concerning the ’format’ of visual mental representations is widely regarded as having become stalled and the impasse has even led some (Anderson 1978) to conclude that the issue between pictorialism and the ’tacit knowledge’alternative is undecidable in principle on the basis of behavioral evidence. At least part of the reason for the persistence of the imagery debate has been the fact that the dispute has centered upon alternative explanations of the samebody of chronometric evidence. The debate has come to appear intractable because the two contending theories make identical predictions for chronometric evidence and, accordingly, adducing new evidence of timedependentmeasures, as has repeatedly been done, cannot strengthen the case for a pictorial, spatial medium against the rival tacit knowledge theory. Thus, experiments are needed on which the contending accountsdeliver different predictions. Our ownevidence concerns perceptual organization tasks which provide unequivocal criteria of the successful rotation, inspection and re-interpretation of images using "recognition processes" and "shape classification" procedures. Despite the demonstratedease of our task under perceptual conditions, naive subjects have generally been unable to succeed in the tasks under imagery conditions as would be predicted on the pictorial theory. Of course, as historians and philosophers of science well know, there can be strictly no such thing as a 12 "crucial experiment", since a falsified prediction can always be blamedon one of the auxiliary hypotheses on which any theory depends. Nonetheless, the text-book exampleof a "crucial experiment" is the null result of the Michelson-Morleytest of the speed of light, and I take the null results of our owninvestigations to show that, like the luminiferous ether, the pictorial medium does not exist. It is in this sense that the possibility of reinterpreting visual patterns in mental imagery has recently emerged as new focus for the long-standing controversy. The question of whether, and under what conditions, novel information maybe discovered from images may shed new light on the debate, since it provides a new meansfor testing the properties of the conjectured pictorial medium.andthe claimed parallel between imageryand perception. "Equivalence" of Imagery & Perception Specifically, the possibility of reinterpreting an image follows as a direct implication of the pictorial theory which posits an "equivalence" between imagery and perception. On the pictorial view, a mental image is conceivedto be a "surrogate percept, allowing people to detect somepattern or property in a rememberedscene that they did not encode explicitly whenthey saw the scene initially" (Pinker and Finke 1980, p. 246). It in this sense that the uninterpreted images in a spatial mediumare themselves supposed to be "functionally equivalent to physical objects or events" (Finke, 1980 p. 113), and cause the same mechanismsto be activated as in actual visual perception itself (ibid, p. 130). Kosslyn (1987, p. 149) explains, one purpose imagery involves "recognition processes" to discover information which is not stored explicitly in memory and thus we "look" at our images in a way which is analogous to the way we look at external objects in order to inspect them. Divergent Predictions By assimilating imageryso closely with vision, indeed by claiming their "equivalence", pictorialism is committed to predicting closely similar "perceptual" phenomenain imagery to those found in perception itself. It is this deep commitmentto the perceptual character of imagery which is the source of its vulnerability to such asymmetriesas those of Chambers and Reisberg (1985) and our ownresults. Thus, Kosslynsuggests that "imageinterpretation is at the heart of the role of imageryin cognition (if one cannot inspect imaged patterns, they are useless)" (1988, p. 249). Hesays "The recognition mechanisms [of vision] can be usedin imageryas a wayof accessing stored information"(1988,p. 264)andhis modelentails that "imagesdepict visual information, and that this informationis interpreted by someof the samesorts of classificatory proceduresused in classifying sensory input during vision" (1980, p. 32). Kosslynexplains further that "the purposesof imagery,in large part, parallel those of vision" and"onemay’recognize’parts and properties of imagedobjects that had not been previouslyconsidexed"throughthe "use of recognition processes" (1987, p. 149). The significance reinterpretingimagesas a crucial test of the pictorial theoryis evidentin Kosslyn’sexplicit predictions: Theimageis formedby forcing a changeof state in the visual buffer in the attended region, whichcan thenbe reprocessed as if it wereperceptualinput (e.g., the shape could be recategorized), thereby accomplishingthe purposesof imagerythat parallel those of perception.(1987,p. 155; emphasisadded) Bycontrast with these implications of the quasiperceptual, pictorial mediumtheory, the ’tacit knowledge’ account would predict that the reinterpretation of imagesis difficult becauseit assumes that the mentalrepresentationsare very abstract output of ’higher’ cognitive processes, - encodings of conceptualizations or beliefs and, in this sense, already meaningfuland not requiring interpretation, - nor susceptible of easy re-interpretation (Pylyshyn1973, 1978). Chambers& Reisberg Negative Results This questionof reinterpreting visual imageshad been brought into sharp relief with the workof Chambers and Reisberg (1985) whofound that subjects were uniformlyunableto reverse their mentalimagesof the familiar ambiguous figures such as the duck/rabbitand Neckercube. Chambers and Reisbergsee their results as supporting the "philosophical" argumentsfor taking imageryto be moreconceptual and cognitive, in the sense that they are intrinsically interpreted symbols whichdo not ne, ed, and do not easily permit, further interpretation. Since the close parallel, indeed "equivalence" of imagery with the mechanismsof perception has beenone of the central tenets of the pictorialist theory (Podgornyand Shepard1978, Finke 1980, Farah 1988), the results of Chambersand Reisbergare surprising and maybe seen as posing a fundamentalchallenge for the pictorial theory. Of course, these negative results provide experimental supportfor the specific claims madeover a decadeago by Pylyshyn(1973, 1978)in his critiques of pictorial theories. Despite these earlier skeptical claims, however, in the intervening period there has been experimental evidenceof just suchabilities of peopleto detect novel properties in imaginedscenes. Pinkerand Finke (1980) report subjects’ ability to "see" novel properties which"can be ’read off’ the display" and whichshould emergefromimagesafter mentalrotation. 13 Finke and Slayton (1988) have extended this work, providingfurther evidence"that people are capableof makingunexpecteddiscoveries in imagery" and that novel patterns can "emerge" from within imaged patterns. Response by Finke, Pinker and Farah. Most recently, Finke, Pinker and Farah (1989) have soughtto reinforce these claimswith newexperiments whichalso purport to showthat subjects can inspect and reinterpret their images by "applying shape classification proceduresto the informationin imagery" (1989,p. 51). This latter workis of particular interest becauseit has beenspecifically designedto counterthe skeptical conclusionswarrantedby the negativeresults of Chambersand Reisberg and sets the scene for our owninvestigation. Thus,it is in the light of this clash of experimentalresults and theoretical claimsthat our own experiments are to be understood: Our new experimentsavoid the specific objections by Finke et al. andby falsifying entailmentsof the pictorial theory in a different manner,our results can be seen as further illuminating the precise conditions under whichsuch seeminglycontradictoryresults can be obtained. "Philosophical" &"Strictly Empirical" However, it is ultimately fruitless for the protagonists in the imagery debate to continue counterposing empiricalresults as if these speakfor themselves.The cloudinessof the presentsituation andthe intractability of the debateis symptomatic of fundamentalconceptual problemsrather than straightforwardempirical issues. Finke (1989) passes over such "philosophical" problemsand the principal alternative theory (Fodor 1975) implyingtheir relative unimportanceand saying that "this is strictly an empiricalquestion"whichhas beendecidedby the evidencethat "mentalimagescan be reinterpreted" (1989, p.129). Thecited data of Finke, Pinker and Farah undoubtedlyshowthat "imagescan be reinterpreted", but this cannot "refute" Chambers and Reisbergsince it only begs the central question: What is the reasonfor the discrepancy? TheChambers and Reisberginvestigation derives its significance from showing the inability of image reconstrual precisely under conditions in which we wouldhaveexpectedit accordingto the quasi-perceptual account. By demonstrating the possibility of reinterpretationunderentirely different conditions,Finke et al. havemerelyavoidedthe crucial issues, whichare, moreover,the "philosophical",that is, theoretical, ones Finkeet al., havewishedto dismiss(See Slezak 1990, 1991). Thecommon designation of "philosophical" for the tacit knowledge position by its critics is a peculiar, thoughtelling, symptom of the difficulties whichhave plaguedthe debate. Thenotion of Finkeet al. (1989, p.54) that argumentsin the philosophicalliterature on imagery"haveno relevance"to the empirical questions reflects someinvidious, if obscure, comparison between rival theorieswhichare, in fact, identical in status as competingexplanations of the evidence.This attitude betrays a certain vestige of positivist or behaviorist faith in the unambiguous deliverancesof observational evidence. Misunderstandingon this point has led to peremptory dismissalof the tacit knowledge accountand to a systematicneglectof its explanatoryforce. Thus, for example, Kosslyn (1980, p.30) has described the tacit knowledgeopposition as a "no imagery"accountas if it purportedto denythe existence or reality of visual imagery. It is evidently this misunderstanding whichunderlies his tactic of adducing further chronometric data as if theycouldaddsupportto his theorywhereas,in fact, they can only reinforcethe reality of imageryphenomena whichare not in dispute. This approachamountsto legislating pictorialism true by taking the evidenceto somehow uniquelyfavour the pictorial theory. This misunderstandingof the tacit knowledge account is manifest in the design of experiments which have been taken to bear on the dispute. Thus,Kosslyn(1983)has tried to deflect tacit knowledgeexplanations of the phenomenaby noting that "virtually nobodyoutsidethe field knowsaboutthe McCullough effect" and therefore "subjects could not have intentionally or unconsciouslyproducedthese results withoutusing imagery"(1983, p.81). First, however,the issue cannot be whether the subjects used imageryas Kosslynsuggests here, since this is not in dispute (see also Finke1990,p.19). alreadynoted, the tacit knowledge theory does not deny that imageryis used by subjects, but only offers a different explanation of it. In particular, it is no argument against the tacit knowledge theory to demonstrate howcontrol subjects not using imagery give different results fromthose whodo (Kosslyn1981, p. 238, 142). Althoughthis experimental design is conceivedas havingempirical bearingon the debate, it is in principle incapableof doingso. Thecontrol group in all these cases is presumednot to be using imagery andthereforebecomesutterly irrelevant to the disputed question of howthe results are to be explainedin the case whensubjects are using imagery. Patently, controllingfor the use of imagerycan onlyestablish the empirical importanceof imageryas a variable and does not favourthe pictorial medium theory - unless the two are implicitly and illegitimately taken to be the same question. Furthermore, the undoubted ignorance of the subjectsconcerningsuchexperimental results is entirely irrelevant to the possibility of explainingthemthrough tacit knowledge,since there is nothing in the claim whichrequires that the relevant beliefs be this kind of belief. Onthe contrary, the idea of tacit knowledge is precisely the idea of beliefs whichare unavailableto consciousawareness.Pylyshynhas been quite explicit on this question, noting that "muchof it is not introspectableor verballyarticulable"(1981,p. 161). Theappealto tacit knowledge is to invokewhatthe subject knowsimplicitly about the phenomenaor events in the world being imagined,and emphatically not about the psychological experiment as Kosslyn seemsto think. Nor, can the knowledgein question be 14 construedas knowledge "of their visual systems"or of neurophysiology as Farahhas takenit (1988, p.314). Equivalence Thesis. Wemaynote that a symptomof the problemsinherent in the pictorial approachis evident in Finke’s (1980) discussionwherehe speaksof "physicalobjects" instead of percepts of physical objects. Hedescribes mental imagesas "functionally equivalentto physical objects or events, with respect to certain types of effects" (,p.113). However, it shouldbe evident that onecannot makeany meaningful comparisonbetween images and physicalobjectsper se, if the latter are takenseriously andliterally as the relevant items of comparison.That is, Finke is unlikely to be seriously concerned to comparethe properties of mental representations as psychologicalentities with those of tables and chairs (see also Finke1990,p.171). Byassimilating imageryso closely with vision, indeedby claimingtheir "equivalence",the pictorialists are inevitably committedto predicting closely similar "perceptual" phenomena in imageryto those found in perceptionitself. As alreadynoted, the significanceof our non-chronometrictasks as "crucial experiments" derives from testing these direct implications of the pictorial theory. Specifically, the experimentsare concernedto test the ’quasi-perceptual’claimsaccording to which "the purposes of imagery, in large part, parallel those of vision" in "the use of recognition processes" through which Kosslyn claims "one may ’recognize’parts and properties of imagedobjects that had not beenpreviously considered"(1987, p. 149) The abilities beingtested are exactlythose whichare claimed to have beendemonstratedby Pinker and Finke (1980) whoreportedsubjects’ ability to "see" novelproperties whichcould emergefrom images only after they had been mentally rotated wherenewproperties of images "can be ’read off’ the display" (1980, p. 262). The ability to "re-parse"an imageby usingperceptualshape classification procedureshas beenclaimedby Finke et al. (1989), just as Finkeand Slayton (1988) claim have shown "that people are capable of making unexpecteddiscoveriesin imagery". By testing newand quite different "perceptual" phenomena,our work shows yet further respects in whichthe alleged "equivalence" betweenimageryand perceptionbreaksdown.Ourexperimentscan be seen as avoidingthe specific criticisms of Finkeet al. (1989), and our data provide not merelya confirmationof the negative Chambersand Reisberg results, but give a further elaborationof the conditionsunderwhichimages canor cannotbe reinterpreted. Experiment la: Mental Rotation. Newstimulus materials havebeendesignedto havetwo distinct interpretations whichare highly orientation specific. Thus,the figures are recognizableas a certain object in one orientation, but are interpretable as an entirely different object whenrotated by 90 degrees. Thesestimuli are variants of the stimuli used by Rock (1973), and are considerably improved in their recognizability. In this respect, the shapes havethe importantfeature that the alternative interpretationsare readily obtainedby rotation underperceptualconditions. shapeshavinganyalternative interpretation. This was to set subjects’ expectationsfor the subsequentstimuli whichwere, in fact, orientation-dependent figures. For eachpresentedfigure in turn, subjectswereaskedif they couldrecognizeit, to nameit, andthen to memorize it. After 10 secondsthe stimulus figure wasremovedfrom viewandthe subject wasaskedto imaginerotating it by 90 degrees in a clockwisedirection. Whenthe subject confirmedthat the figure wasbeing imaginedin this rotated position, he/she was asked if it could be interpreted as anythingelse fromthis viewpoint.This procedurewasrepeated with each of the orientationdependentshapesin turn. An important methodologicalproblemarises from the danger that subjects might encode both interpretations duringthe original perceptualexposure since in this case they wouldnot be relying on imagery processesto discoverthe alternative interpretation. In particular, it is evidentthat the problemmayarise when subjects are set the imaginalrotation task morethan once, since after the first one they are no longernaive concerningthe possibility of a secondconstrual of the figure. Onany subsequenttest, they mayUnavoidably seek a secondinterpretationduringthe initial perceptual exposure. This possibility can be minimized by restricting exposure time as Chambersand Reisberg have done to a duration which is long enough to establish the imageand yet not long enoughto seek alternative interpretations. However,this is a risky proceduresince subjects whoare awareof a possible reconstrual are frequently able to notice both interpretations almostimmediatelyandsimultaneously. Figure1 It is importantthat the task of reinterpretationcan be readily accomplishedin this wayduring perception becausethis makesthe conditionsfor reconstrualunder imageryconditionsas favorable as possible. Thus,for example, whensubjects are shownfigure 1 in one orientation, it is immediately recognized as the duckling; then uponrotating the figure by 90 degrees, subjects immediatelynotice (with frequent expressions of surpriseanddeligh0the alternativeinterpretation,the rabbit. Results. At first glance, the experimental results appear somewhat equivocal on the question of reinterpretation since subjects weregenerally able to reconstrue in imaginationabout one third (35%)of the figures they werepresented. Evenon these data it is clear that reinterpretation of the rotated imagewas difficult to perform, even if not always impossible. However,these results across multiple presentations take on a greater significance whenthe order of presentationis takeninto account:It is mostsignificant that no subject wasable to reconstruethefirst stimulus presented, whichis, of course, the only one for which they did not knowin advancethat there mightbe an alternative interpretation. This striking relevanceof stimulus order supports our conjecture concerningthe effect of loss of naivete regardingthe task. Moreover, stimuli werepresentedin order of decreasingsuitability as confirmedby later experiments,andthis supportsour explanation for the slight improvementin subjects’ successrate. Wecontrol for these confounding factors in the follow up experiments, but even without making suchallowancesthe meansuccessrate overall wasstill only 35 per cent. Typicalof the predicteddifficulty was the reaction of subjects whenpressedto interpret their rotated imageof the duckling: just as onewouldexpect on a tacit knowledgeaccount according to whichthe imageis intrinsically boundto its interpretation, many subjects would volunteer the response that it is a "ducklingon its back"! Figure 2 The direct expectation of the pictorial medium theoryis that the sameeffect shouldbe obtainableunder imageryconditions. That is, if subjects are shownthe figures in only one orientation, it wouldbe expected that they could rotate their imageand discover the alternative construal by inspection fromtheir rotated image. Of course, the tacit knowledgealternative account takes imagesto be abstract, intrinsically interpreted conceptualizationsand wouldpredict that such reinterpretation wouldbe difficult or impossible for subjects to performin this wayon their rotated images. Figure 3 MethodWithout marking any distinction amongthe stimulus figures, subjects were first shownseveral distractors in the form of silhouettes of easily recognizableanimalssuch as an elephant, ostrich and marlin, none of which were orientation-dependent 15 The significance of ournegative results derives from the fact that the mentalrotation and reinterpretation are not only explicitly predicted by pictorial theorists, but involve precisely the mental transformations which have been classically taken as well established. Of additional importanceis the fact that our task is readily performedunder perceptual conditions, thereby entitling us to expect it in imagery as well according to the pictorial account. Further favouring reconstrual is the fact that our figures are considerably simpler than the representations of blocks stacked in three dimensions employed by Shepard (1971) for which the mental rotation has been claimed, and our own shapes are geometrically no more complex that those of Cooper (1975) for which complexity was specifically found not to be a factor in the claimedease of rotation. Even if the Finke et al. (1989) response Chambersand Reisberg (1985) is not problematic in the waysI have suggested (Slezak 1991), their "refutation" is specific to the ambiguousstimuli and, therefore, irrelevant to our entirely different imagery tasks. A pattern of such failures on diverse perceptual phenomena would leave only ad hoc ways of avoiding their significance for the pictorial theory of imagery. Therefore, as a follow-up, we have devised additional experiments which attempt to reconstruct yet other perceptual phenomenain imagery. Expt. lb. Practice & Perception Effects The ordering effect in the foregoing data in which subjects showeda slight improvementfrom their initial failure could be due to practice in the task rather than to perceptual confounding as we had suggested. We controlled for this possibility by giving each subject prior practice with image rotation using Cooper’s (1975) random polygon experiment. At the same time, in order to preserve subjects’ naivete on all the stimulus figures, we altered the previous instructions so that the imagery task would not be knownuntil all the figures had been viewedand memorizedin their initial orientation. Onceall stimuli had been memorizedin this way subjects were prompted by the brief flash of a figure on the screen, and askedif they were able to recall the shape clearly. Only then were subjects asked to rotate the shape 90 degrees clockwise and asked whether they were able to find an alternative interpretation. Results: Significantly, prior practice with rotation of images on the Cooper random polygons had no effect on subjects’ performance and this possibility could, therefore, be eliminated as a possible explanation for the ordering effect in the preceding data. Indeed, despite practice in rotating images,there was a dramatic drop in the success rate as a consequenceof the newstrategy to avoid perceptual confounding. Our data show only 8 successful reconstruals in 100 trials, and these were almost entirely confined to two of the figures whose shapes were said by subjects in debriefmgto be a "giveaway"due to certain telling clues. Experiment lc. Experiment 2. Figure-Ground Reversal The shapes illustrated in the left half of figure 4 are such as to encourage perceptual organization into several black objects which may, however, be reversed to becomethe groundand thereby reveal the letters "EI". Since the reversal in this form is somewhatdifficult to achieve in perceptionitself, the effect can be elicited by asking subjects to being the horizontal lines together to touch the shapes as in the right hand figures, clearly revealingthe letters. Image quality. It could be argued that under the new conditions for avoidingperceptual reconstrual, the high failure rate was now due to poor, inaccurate or otherwise degraded images. In order to clarify the possible role of this factor, we altered the conditions in such a way as to maximizethe accuracy of encoded shapes in memory. Subjects were tested on the imagery rotation task nowonly after being permitted a very long (3 minute) visual presentation of one of the stimuli (following the usual distractors). During this extended viewing time, subjects were encouraged to rememberdetails of the single figure as accurately as possible. Whenthe stimulus was removed, subjects were asked to draw it from memoryin order to have some evidence of the accuracy of the image. Subjects were then asked to rotate and reinterpret it in imagination.In addition, D.F. Marks (1973) VVIQ(Vividness of Visual Imagery Questionnaire) was administered for further evidence of image accuracy. Figure 4 Despite the ease of the imagery task, not a single subject in twenty trials was able to reconstrue their imageto reveal the alternative construal as letters. This was despite the fact that subjects’ subsequent drawings of their memorizedimagewere highly accurate. Results and Conclusion.: Despite high scores on the VVIQaveraging 2.5, there were still only 2 successful reconstruals in 23 trials. Aboveall, the accuracy of the drawings nowprovided fu’m grounds for supposing that degraded image quality is not a likely reason for the failure of imagereconstrual. Expt. 3. Kanizsa Illusory Contours Stimuli of the sort illustrated in figure 5 were designed to produce the familiar illusory contours, but were, of course, not presented to subjects in this form, since the 16 effect wouldthen be created in perception.In order to test the parallel with imagery,circumstancesmust be contrivedwhichgeneratethe figure only in imagination and, accordingly,the entire figure wasnot presentedat once. Instead, the apical blackshapesweredesignedto havegoodgestalt propertiesas figures andarc suchas to discourageany inferences about other shapes of which they mightbe a part. Theseshapes were presentedone at a time for 30 secondsat their respectivepositionsand then removedfrom view. Havingseen themonly one at a time, subjects were instructed to imaginethemall together and werethen askedwhetherthey wereable to detect anyother emergent shape,figure or object in their reconstructed image. Figure 5 Results: Despite research on "creative mental synthesis" whichsuggests that peoplecan use imagery to mentallyassemblethe separatelypresentedparts of a pattern (Finke 1990, p.21), only one subject out thirty trials reported seeing a geometrical shape, correctly identifying the emergentwhite figure. Again, this overwhelming difficulty with the task wasdespite the fact that subjects’ drawingswerehighlyaccurateand they werefrequently able to notice the emergentshape fromtheir owndrawing. Conclusion. Notwithstandingthe claim by Finke et al. (1989) have"refuted" Chambers and Reisberg (1985), wehave shownthat imagereconstrual is generally difficult or impossibleto performunder conditions in whichone wouldhaveexpectedit accordingto the pictorial theory. Onthe other hand,however,these results are precisely as one wouldexpect on the tacit knowledgeaccount according to which imagery is highly abstract and cognitive,and doesnot involveany internal, surrogate, diagrammatic’objects’ to be apprehended by the visual system. References Anderson, J.R. 1978. Arguments Concerning Representations for Mental Imagery. Psychological Review 85:249-277. Chambers, D. and Reisberg, D. 1985. Can Mental Images Be Ambiguous?Journal of Experimental Psychology: HumanPerception and Performance 11:317-28. Cooper, L.A. 1975. Mental Rotation of RandomTwoDimensionalShapes. Cognitive Psychology7:20-43. 17 Farah, M.J. 1988. Is Visual ImageryReally Visual? Overlooked Evidence From Neuropsychology. Psychological Review95:307-317. Finke, R.A. 1980. Levels of Equivalencein Imagery and Perception. PsychologicalReview87:113-132. Finke, R.A. 1989. Principles of Mental Imagery. Cambridge,Mass.: BradfordBooks/MIT Press. Finke, R.A.1990. Creative Imagery. NewJersey: LEA. Finke, R.A., Pinker, S. and Farah, M.J. 1989. Reinterpreting Visual Patterns in MentalImagery. CognitiveScience 13:51-78. Finke, R.A., & Slayton, K. 1988. Explorations of Creative Visual Synthesis in Mental Imagery. Memoryand Cognition. 16:252-257. Kosslyn, S.M. 1980. Image and Mind. Cambridge, Mass.:HarvardUniversityPress. Kosslyn,S.M. 1981. The Mediumand the Messagein Mental Imagery: A Theory. Psychological Review 88:46-66. Kosslyn, S.M. 1983. Ghosts in the Mind’s Machine. NewYork: W.W.Norton & Company. Kosslyn, S.M. 1987. Seeing and Imagining in the Cerebral Hemispheres: A Computational Approach. Psychological Review94:148-175. Kosslyn, S.M. 1988. Imageryin Learning. In Michael S. Gazzanigaed. Perspectives in Memory Research, Cambridge,Mass.: Bradford/MIT Press. Larkin, J. and Simon, H 1987. Whya Diagram is (Sometimes) WorthTen ThousandWords. Cognitive Science11: 65-99. Pinker, S. and Finke, R. 1980. Emergent twoDimensionalPatterns in ImagesRotated in Depth, Journal of Experimental Psychology: Human Perceptionand Performance 6(2):244-264. Podgorny, P., and Shepard, R.N. 1978. Functional Representations Common to Visual Perception and Imagination. Journal of Experimental Psychology: Human Perceptionand Performance4:21-35. Pylyshyn, Z. 1973. Whatthe Mind’s Eye Tells the Mind’s Brain: A Critique of Mental Imagery. Psychological Bulletin. 80(1): 1-24. Pylyshyn,Z. 1978.Imageryandartificial intelligence. In MinnesotaStudies in the Philosophyof Science, C. WadeSavageed. Vol. IX. Minnesota: University of MinnesotaPress. Pylyshyn, Z. 1981. The Imagery Debate: Analogue Mediaversus Tacit Knowledge.PsychologicalReview, 88: 16-45;reprinted in N. Block(ed.) 1981.Imagery. Cambridge,Mass.: Bradford/MIT Press. Reisberg, D. and Chambers,D. 1991. Neither Pictures Nor Propositions: WhatCanWeLearn from a Mental Image?CanadianJournal of Psychology,45 (3): 336352. Rock, I. 1973. Orientation and Form. NewYork: Academic, Shepard,R.N., andMetzler,J. 1971.Mentalrotation of three-dimensionalobjects. Science171:701-703. Slezak, P. 1990. Re-Interpreting Images. Analysis 50(4):231-243. Slezak, P. 1991.CanImagesBe Rotatedand Inspected? Proceedings of 13th Annual Conference of the CognitiveScience Society, 55-60. NewJersey: LEA.