METAPHOR AND COGNITION STUDIES IN COGNITIVE SYSTEMS VOLUME 13 EDITOR James H. Fetzer, University of Minnesota, Duluth ADVISORY EDITORIAL BOARD Fred Dretske, Stanford Universiy Ellery Eells, Universiy of Wisconsin, Madison Alick Elithom, Royal Free Hospital, London Jery Fodor, Rutgers Universiy Alvin Goldman, University of Arizona Jaakko Hintikka, Boston Universiy Frank Keil, Cornell University William Rapaport, State University of New York at Bfalo Bary Richards, Imperial College, London Stephen Stich, Rutgers University Lucia Vaina, B osto n University Terry Winograd, Stanford Universiy The titles published in this series are listed at the end of this volume. METAPHOR AND COGNITION An lnteractionist Approach by BIPIN INDURKHY A Computer Science Department. Boston University, Boston, MA. .S.A. �· '' KLUWER ACADEMIC PUBLISHERS DORDRECHT I BOSTON I LONDON Library of Congress Cataloging-in-Publication Data InoJrkhy!. B1p1n . Metapho� 'ncunhva. � . Incluoes ISBN 3. 5. 1. anc 1959- cogn1t1on -- c• . IStud1es o>�11ogr3ph1ca1 0-7923-1687-8 Symbcl1sm 1n I. Cogn1t1on. 1992 approach cogn•t•ve systems alk . <hara T1tle. Jnterac:1on1st references <Psychologyl Analogy--Psvchciog;cal Bl58.l53 an 2. paperl ; v . 4. B1p1n 131 1ndexes. �etaphor--Psycho1oglca1 aspects. II. and 1 S•m•larlty aspects. <Psychology! Ser1es. 153--oc20 92-7189 ISBN 0-7923-1687-8 Published by Kluwer Academic Publishers, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. Kluwer Academic Publishers incorporates the publishing programmes of D. Reidel, Martinus Nij hoff, Dr W. Junk and MTP Press. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 101 Philip Drive, Norwell, MA 02061, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, The Netherlands. Prited on acid-"ee paper On the Cover: Other World by M.C. Escher. © 194 7 M.C. Escher I Cordon Art - Baam- Holland Collection Haags Gemeentemuseum, The Hague All Rights Reserved © 1992 Kluwer Academic Publishers No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopyng, recording or by any information storage and retrieval system, without written permission from the copyright owner. Printed in the Netherlands L tke memory of my grandmother and to Xela SERIES PREFACE This series will include monographs and collections of studies devoted to the investigation and exploration of knowledge, information, and data-processing systems of all kinds, no matter whether human, (other) animal, or machine. Its scope is intended to span the full range of interests from classical problems in the philosophy of mind and philosophical psychology through issues in cognitive psychology and sociobiology (concerning the mental powers of other species) to ideas related to artificial intelligence and com puter science. While primary emphasis will be placed upon theoretical, conceptual, and epistemological aspects of these problems and domains, empirical, experimental, and methodological studies will also appear from time to time. The nature of metaphor and the nature of cognition are both illuminated in this stimulating study by Bipin Indurkhya. Beginning with a distinction between conventional metaphors, similarity-based metaphors, and similarity creating metaphors, he elaborates the idea that similarity-creating metaphors, which affect an interaction between the source of the metaphor and its target, fulfill a fundamental role in human cognition. In addition to the development of his own account, lndurkhya thoughtfully examines alternative theories and evaluates their strengths and weaknesses. By placing the problems of metaphor within the framework of cognition, this work makes an exception ally valuable contribution to understanding the nature of the mind. J. H. F. vii Contents Acknowledgments XV Pro logue The Pro b l e m I 1 11 Characterizing Metaphor 13 1.1 1 .2 Introduction . . . . . . . Some Examples of Metaphors 13 14 1 .3 Characteristics of Linguisti. Metap hors 17 1 .4 Degrees of Metaphoric Conten t : T h e Conventional vs. the Metaphorical Metaphors i n Non- Linguistic Domains Metaphors, S i m i les, A nalogies and Models 1 . 6 . 1 Metaphors and S i m iles . . 1 . 6 . 2 Metaphors a n d Analogies . 1 . 6 . 3 Metaphors and Models Conclusions . . . . . . 1 .5 1 .6 1.7 2 1 . . . . Enter Similarity-Creating Metaphors Introduction . . . . . . . . . . . . . . 19 21 26 26 28 34 36 39 2.1 2.2 2.3 Some Examples of S i m i larity- Creat i ng Metaphors Psy chological S t u dies of t he Creation of S i m i larity . 40 2.4 Creation of S i m i larity i n Metaphor- Related P henomena 48 39 45 X 2.5 2.6 3 48 49 54 56 2.5. 1 S i m i lari ties Before and A fter the Metaphor . 57 2.5.2 S i m i l arities A fter but Not Before the Met aphor 59 2 . 5 .3 S i m i larities Before but not A fter the Metaphor . Conclusions: The Problem of Sim i larity- Creati ng Metap hors 63 63 Approaches to Similarity-Creating Metaphors 65 3.1 3 .2 3 .3 Introdu ction Max B lack . P au l Ricoeur 65 68 74 34 Carl H ausman 75 3.5 W heel wright - M ac Cormac 76 3.6 3.8 The Lakoian A pproach . . M y Earlier Approach . . . . K i t t ay's Perspecti val Theory 3.9 Conclusions . . . . . . 78 84 86 90 Cognition as Interaction 93 4. 1 4. 2 93 94 3.7 4 2 .4 . 1 S i m i le . 2 . 4 . 2 A nalogy 2.4 . 3 Models . S i m ilari ties and Creati ve P roblem Solving Introduct ion . . . . . . Empirical S upport for the Interaction View of Cogni tion 4 . 2. 1 4.2.2 4 . 2. 3 4 .2.4 4.3 4. 4 4.5 4.6 Concepts are M ore than Aggregates of Sense D ata . Concepts can O rganize the World D i ferently . . . . Concepts Cannot O rgani ze the Worl d Arbitrarily . 'Uni ver �als' and the Physiological Basis of Cognition 4.2.5 Summary . . . . . . . . . . . . From Kant to Goodman: Worldmaking P i aget's Constructivism . . . . . . . . Lakof-Johnson: The Bodily Basis of Cognition . Conclusions . . . . . . . . . . . . . . . . . . . . 95 1 00 1 04 1 05 111 111 116 1 24 1 27 xi A Theory II 5 129 An Interactionist Approach to Cognition: Informal Overview 5. 1 Introduct ion . 5.2 A n Example . 5.3 5.4 5.5 5.6 5.7 6 131 1 35 Concept Networks . 151 Environments and Sensorimotor Data Sets 1 58 Cogni t i ve Relations and Coherency 161 A ccommodat ion and Projection 1 64 Cogni t i ve Models . . . . . . 1 69 5 . 7 . 1 G roupings on the Env i ronment 1 70 5 . 7 . 2 A ccom modation and Projection : A nother Perspect i ve . 1 74 5.7.3 5.7.4 5.8 5.9 131 Representation and Description . . . . . . Layered Cogni t i ve System and M ulti p l e "Worlds" 1 76 1 78 1 79 S u mm ary . . . . . . . . . . . . . . . . . . 187 Some O ther M i scellaneous Notions . . . . An Interactionist Approach to Cognition: Formal Concepts 6. 1 Introduction . . . . . . 6.2 6.3 Classes and G roupings Relations and Induced G roupi ngs 6 . 3 . 1 P reli m i nary Defin i tions . 6.3.2 6.3.3 6.4 Functions and Operators 6.4.1 6.4.2 6.5 D i functional Relations . Relations Within a C l ass Functions Operators 189 1 89 191 1 94 1 94 1 96 201 202 203 204 A lgebras and Structures 6 . 5 . 1 A lgebras . . . . . 6 . 5. 2 D escriptions and S t ructures 20.5 205 209 6.5.3 214 Closu res and Generating Classes . xii 6.5.4 6.5.5 C losu re Over Operators Computabi l i ty of O perators 6.6 Subalgebras a n d F i n i t e Generat i v i ty 216 2 16 2 17 6.7 G roupings on A l gebras: A lgebras o f Classes 220 6.8 Rel at ions Between A l gebras: Correspondences 6 . 8. 1 P roducts o f Algebras and Correspondences 6 . 8 . 2 G roupi ngs Induced b y Correspondences 6 . 8 . 3 Difunctional Correspondences 223 224 227 229 . 6.9 Cogn i t i ve Models . . . . . . . . . . . 6 . 9 . 1 Basic Dei n i tion . . . . . . . 6. 9 . 2 Local Coherency and Coherency . 6. 9 . 3 Some Characteristics of Cogni t i ve Models 6 . 10 Cogni t i ve Models Over an Environment . 235 236 6.11 P roj ecti ve and A ccommodating Models 6.12 F i n i te Representab i l i ty and Coherency 239 24 1 An Interaction Theory of Metaphor 245 . 7 232 234 7. 1 7.2 7.3 7.4 I n t roduction . . . . . . M etaphor as P rojection . omenclat u re Associ ated with Metaphor Modes of Metaphor . . . . . . . . . . . . 7. 4 . 1 S i m i l ari ty-Based ( Comparat i ve) Metaphors . 246 253 256 256 7.4.2 271 7.5 Summary . III 8 . 232 Si m i l ari ty-Creating (Proj ective) Metaphors . The Implications Some Metaphor-Related Issues 8.1 8.2 Introduction . . . . . . . . . . T h e Thesis ' A ll K nowledge is M etaphorical' 8.2. 1 8.2.2 Version 1: All Knowledge i s Projecti ve Version 2 : A l l Thought i s Comparati ve 245 279 283 285 285 286 287 289 xiii 8.2.3 8.2.4 8.3 8.4 9 Version 3 : A ll Conventional Mean ings A rise By Way of M et aphor . . . . . . . . . L akoff- Mac Cormac Debate Metaphor and Correctness . . . . . 8 . 3 . 1 Correctness, Trut h and Coherency . 8.3 . 2 U nderstanding v s . Correctness . . . 8 . 3 . 3 Conventional a n d M etaphorical Correct ness A p tness ( Q u ality ) of Metaphor . . . . . . . On Predictive Analogy and Induction 9.1 9.2 I ntroduction . . . . . . . . . . . . Predictive A nalogy and Metaphor 9.3 The Search for Logical Justi ication o f P red i t i ve A nalogy 9.3. 1 9.3.2 9.4 9.5 9.6 9.7 P redictive A nalogy as an Inductive Process . . . . . P redictive A nalogy a s a First O rder Generali zation 9 . 3 . 3 P redictive A nalogy as a Second O rder General ization The Search for Empi rical J ustiication of P red i c t i ve Analogy 290 292 30 1 301 305 306 309 315 . 315 318 322 323 325 327 329 9 .4 . 1 Evidence from C l assroom Experiments . . . . . . . . 329 9 . 4 . 2 Evidence from Real-World Problem-Solving Activit i es . 332 The ' D ar k Side' of P redictive A nalogy 334 339 P redi c t i ve A nalogy and Cogn i tion . . . The Problem of Induction . . 343 9.8 The S am p l i ng Princip le, Randomness, and the Generalized Grue Paradox . . . . . . . . 9.9 The ' D ark Side' of Induction . 9 . 1 0 Induction in Cogni t io n . . . . 344 350 352 Computational Approaches to Metaphor and Analogy 357 10 On 10.1 Introduction . . . . . . . . . . . . . . 357 1 0 .2 Comp u t at i onal Approaches to Linguistic Metaphors 1 0 . 3 Com p ut ational A pproaches to Predi c t i ve A nalogy . . . . . . . 360 365 1 0 . 4 A Computat iona] Model of Creati ve Analogies: Douglas H ofstadter . . . . .. . . . . . . . 376 xiv 1 0 .4 . 1 A n Aside: Context- Sens i t ivity of Descriptions i n Evan s ' . . . . . . . . . . . . . . . . . . . . . 378 Approach 10 . 4 . 2 Resumption: Hofstadter and M i t chell ' s Copycat . 384 1 0. 5 P rojecti ve ( S i m ilarity- C reati n g ) Metaphor in Artiicial Intelligence . . . . . . . . . . . . 392 10 . 5 . 1 Projection as ' Top- Dow n ' G rouping 392 . 395 1 0 . 5 . 2 Novel vs. Conventional P rojection . . . . . . . 1 0 . 5 . 3 The C reation of S i m ilarity . . . . . 10. 6 Model ing Met aphor as Change of Representat i on 10 . 7 Conclusions . . . . . . . . . . . . . . . . . . . . . . 400 .. 401 . 408 B ib l iograp hy 411 N ame Index 433 Subject Index 439 Acknowledgments I wou l d l i ke to express my thanks and appreciat ion to the following people who h ave contribu ted to this manuscript in various ways: • To Remko Scha for providing encouragement, i deas , and much con structi ve criticism t h rough the ent i re project . • To M ark Joh n son for providing an encouragi ng feedback on a long essay t h at I wrote as an abridged version of t he book i n 1 988. • To Erica Melis for providing many usefu l comments on the abridged version of the book an d on earlier drafts of some chapters. • To Sylvia Candelari a de Ram for a t horough readi n g of early drafts of Chapters 1 , 5, 6 and 7 . Her numerous comments , especially on Chapter 6 , were i nstrumental in add i n g to the clarity of the i nal draft . • To George Lakoff for providing an encouragi ng feedback on an earlier draft of Chapter 7 and for providi ng val uable com ments . • To Melan ie M itchell for pai nstakingly goi ng through a very rough ver sion of the enti re manuscri p t . Her detai led comments were an invalu able aid in revising the manuscript . • To M argo G uerti n and Scott O ' H ara for read i ng through coun tless drafts and catchi ng m any syntactic and semantic errors . • To M ary A t k i n s , Regina Bl aney and Beryl Nel on for read ing parts of the i n al draft and ofering comments . • To Doug Hofstadter and Melanie Mitchell for ments on parts of the inal manuscri p t . • To Spyridon B raoudakis a n d Dan Solis for carefully going over the entire i n al draft and mak i ng n umerous comments. • To Marie- Dom i n i q ue G ineste and an anonymous Academic P ublishers for wri t i ng very positive and providing extensive com reviewer for Kluwer en c o u rag i n g revi ews of the m a n u s c r i p t, an d for mak i ng comments on var i ous parls of i llhaL were q u i te helpfu l d u r i n g rev i si on s. XV xvi • To S i mon Ross for doing a wonderfu l j ob as the edi tor i n get t i n g t h e manuscript reviewed prompt ly, a n d i n oferi n g much useful advice i n get t i ng the copyright permissions a n d i n the p reparation of the camera ready copy. • To the N at ional Scien ce Foundation for grant No. I R I - 9 1 05806, w h i ch supported in part the p reparation of t h e manuscrip t . I would also l i ke t o express m y grat i t ude to various i nd i v iduals and i nstitu t ions for allowing me to i nclude some copyrighted m aterial in t h i s book: • Oth e r World by M . C . Escher ( on the cover) : @ 1 947 M . C . Escher / Cordon Art - Baarn - Holland, Collection aags Gemeentemuseum , The H ague. Reproduced w i t h the k i n d permission o f Cordon Art a n d H aags Gemeentemuseum. • Fog by Carl Sandburg ( page 2): From C H I C A G O POEMS by Carl Sandburg, @19 1 6 by H ol t , Rinehart and Winston , I n c . and renewed 1 944 by Carl Sandburg, repri nted w i t h the permi ssion of H arcourt Brace Jovanovich, Inc. • Pa rk bei Lu(zern) (Pm·k n ea r L u(cerne)) ( 1 93 8 ) by Paul K lee ( plate 1 ) : Paul Klee- S t i ft ung/Kunstmuseum Bern , @ 1 9 9 1 by VAG A , New York ; reproduced w i t h t h e k i n d permission o f Kunstmuseum Bern . • • • • Th e MmTiage of Giovan n i (?), Arnolin i and Giovan n a Cen a m i (?), ( 1 434) by J an Van Eyck ( plate 2 ) : The National G al lery, London, reproduced w i t h the k i n d permission of the National Gallery. Quotat ions from A l fred H i tchcock ( pages 24 and 44 ) : @ 1 96 7 by Fran cois Tru faut , revised @ 1 984 by Francois Trufaut , reprinted i n the U.S. and C anada w i t h the permission of S imon & Schuster, and elsewhere w i t h the k i n d permission of Seeker and Warburg . While Hawthorn i n the West of Irela n d b y Eavan Boland (page 41): @1989 by Eavan Boland, original ly published in The New Yorker, reprinted w i t h t he kind permission of Eavan Bolan d and The New Yorker . Excerpt from Seascape by Stephen Spender (page 42) : from C O L LECTED POEMS 1 928-1 985 by Stephen Spender, @ 1 946 by S t e p h e n Spender, repri nted i n the British Commonwealt h (excluding Canada) with the k i n d permi ssion of Faber and Faber Limited, and elsewhere with the permission of Random House, Inc. XVII • Composition with Blu e and Yellow, (1935) by P iet Mon drian ( plate 3): Hirshhorn Museum and Sculpt u re Garden , Smit hsonian Instit u tion, G i ft of Joseph H. H i rshhon Foun d at i o n , 1 972, ( photograph by Lee Stalsworth ) ; reproduced w i t h t he k i n d permission of H i rsh hon M useum and Sculptur e Garden . • Quotation from Piet Mondri an ( p age 43 ): @1986 by Harry Holtzman, reproduced w i t h the k i n d perm ission of M. Holtzman and G .K. Hall & Co. • L e Cauter (Tea T ime), ( 1 9 1 1 ) by Jean Metzi nger ( p l ate 4 ) : P h iladel phia M u seum of Art : The Louise and Wal ter A rensberg Collection , reprod u ced w i t h the k i n d permission of P h i l adel p h i a M useum of A r t . • Figures from P. A . Kolers ' Aspects of Motion Pe 1·ception ( page 99 ) : @ 1 972 by Pergamon P ress , repri nted w i t h the k i n d perm i ssion of Perg amon P ress. • Figu re from A . R. L ur i a's Cognitive Developm ent ( page 103): @ 1 976 by the P resident and Fel lows of H arvard Col l ege, repri nted with the kind permission of H arvard Un ivers i ty P ress . • Q uotations and igures from T . G . Evans' " A Program for the Solution of a Class of Geometric- A n alogy I n telligence-Test Questions" ( Section 10.4.1): @ 1 968 by MIT P ress, reproduced here with the kind permis sion of M I T P ress. Prologue This book i s about metaphor and cogni t ion , an d about the relations h i p between the two. W h i le t here remain s much dispute about w hat metaphor is, how it works, and what role i t plays in cognition , t here seems to be general agreement that metaphor i nvolves two objects or s i tuations and some kind of t ransference from one object or situation to the other. One object i s referred to a s t he topic, t he tenor, the primary subjec t , or t he t arget domai n , and t h e other object as t h e vehi cle, t he secon dary subjec t , o r t h e source domai n . For instan ce, in "The chairperson of the meeting plowed t h rough the agenda," the target is the meeti ng, the source is the act of plowing, and the transference exists i n being able to describe the meeting meaningfu l l y by using the seman t i cally distant term of ' p lowi ng'. I t i s also gen erally accepted that metaphors are not l i m i ted to individual words, or even p hrases, but a whole poem or a novel can be metaphorical as well . A nyone who h as read Dylan Thomas ' Th e fo·ce that th m ugh the g·een fuse drives th e lower, Mel v i l le's Moby Dick, or Hem i ngway's Th e Old Ma n a n d the Sea would know that these works become much more interesti ng and i nsightfu l when given an i nterpretation other than the l iteral one. H ere, while the source i s explicitly given , the target is not speciied at all ; it is up to t he i ndivi dual reader to ind her own t arget and carry out her own i nterpretation . The point i s that one needs a target domain and a meani ngful i n terpretation i n order for the work to become metaphorical . For i nstance, I once read an i nterpretation of Frank Baum 's Th e Wizm·d of Oz, a popular fantasy book t hat described i t as a sati re of the A merican pol i t i cal situation existi n g at the t ur n of the centu ry, when the book was first published.1 To get the satirical fet, however, the characters of the book need to be given an appropriate i n terpretation i n t hat context-t hat the Wicked Witch of th e East be identiied with t h e i n an c i al i nst i t u t i ons of the N or t h east e n U.S., t h e T i n Woodman be identiied wi th the industrial workers, t he Emerald City be identiied w i t h Washington D . C., the cap i t al of the U.S., and so o n . Classiication of metaphors themselves i s somewhat controversial. B u t for our purpose, we need only make a d i s t i n c t i o n between conve n t i on al m e t a phors, similarity-based met ap hors, and si milarity-creating metaphors. Con ventional met aphors are t hose met aphors t h at are so much a part of everyday speech that t hey seem hardly metaphorical . The 'plow ' me t apho r mentioned above is a case i n poi n t . Conventional metaphors are e v i den ce to the fact 11 remember reading it in the Sunday edition of the Bufalo News sometime in December 1987 2 Metaphor and Cognition that metaphoric t ransference is not someth i ng conined to poetry and lit erat ure, but is very m u ch a part of our everyd ay speech . T hey h ave been studied extensively by George Lakof and his colleagues [Lakof & Joh nson 1 980; Lakof & Turner 1989]. In thi s study, however, convent ional metap hors play only a minimal role. My main concern is not so much w i t h why our everyday concepts are structured i n one way rather t h an another, but w i t h how n e w concepts a n d mean ings emerge. S i m i l ari ty-based metaphors invite the reader to make a comparison be tween the source and the target , as the t ransference of meaning is based on some existing s i m i larity between them. For instance, in "The sky i s cry ing" the reader i s d rawn into comparin g the rain falling down from the sky w i t h t h e tears falling down from the eyes o f a person . T hese metaphors h ave been captured in what is commonly known as the compari son theory of metaphor [Henle 1 958]. In a similarity-creat i ng metaphor, however, t here are no similarities be tween the source and the target when the metaphor is irst encountered . Yet , after the metaphor is assi m i lated , ( i f i t i s assimilated at all , ) t here are sim i l arities between the two. T hus, the metaphor c rea t es t he s i m ilarit i es between the source and the target . To appreciate the force of a s i m ilarity creating metaphor, t ry the following experi ment . For each of t he fol lowing pai rs of words, t ry to enumerate the simi lari t ies between the referen t s of the two words: snake-eel, dog-computer, snowsto1·m -autom ob ile, cat-fog, fog clock. For i n stance, for the snake- eel pair, you might say t h at t hey are both long, slithery, etc. I f you cannot ind any similarities , j ust say so. G i ve yourself, say about ive m inutes, for each pai r . Now consi der Carl San d b u rg's beaut i fu l poem Fog: The fog comes on l i t t le cat feet . It sits looki ng over harbor and c i ty on silent h au n ches and then moves on . After readi ng the poem , the fog at once appears similar to the cat! T hey both creep up on you ever so silently. Moreover, I would be very surprised i f t his s i m i larity was inclu ded i n your initial comparison o f fog and cat, u nless you peeked ahead, or you were al ready fami liar with t he poem, and the words fog-cal remi n ded you of i t . Thus, i t wou l d be appropriate to acknowledge that Prologue 3 t he metaphor created the s i m i larit ies . I f you need more convincing to accept the phenomenon of creation of similarity, I present m any more examples i n C h apter 2 , since similari ty-creati n g metaphors are m y pri mary concen i n th i s book . The existence of s im ilarity-creating metaphors has not been u n i versally acknowledged . The reason i s that i n a s i m i l ari ty-creati n g metaphor, t here are always s i m i lari ties after t h e metaphor is p resented and u nderstood. So if a person is presented w i t h a metaphor, and then asked to explai n her under stan d i ng of i t , she would i n variably gi ve a similarity-based accoun t . But t h is fails to address the questi on o f whet her the simi larit i es were t here before the metaphor or not . ( O ne notable exception i s the i nteresting study of Cam ac and G lucksbu rg [ 1 984] , w h i ch is d iscussed i n C h apter 2 . ) Consequently, i t might n o t b e surprising t hat almost all t h e research on metaphor i n cogni t i ve science has been in the p u rsu i t of similarity-based metaphors. E m p i ri cal studies and theories h ave sought to articulate exactly w hat k i n ds of si milari t i es u nderlie metaphors [ Gentner, Falkenhai ner, & S korstad 198 7 ; Gentner & S tuart 1 983; M algady & Johnson 1 980; O rtony 1 979] . Following these leads , the comp u t at i on al models h ave focused either on b o w t h e s i m i l arities might be comp uted , gi ven a source and a target ( Weiner 1 984 , 1 985; Fass 1989); or on how the similar i ties might be used i f t hey are expl icitly given (Carbonell 1 982; Marti n 1 988) . S i mi larity-creati n g metaphors have been left out i n t he cold . I nteres t i ngly, however, a n approach to metaphor i n t he phi losoph ical trad i tion-an approach t h at is widely known as the intera ction th eor--w as created expressly to account for similarity-creating metaphors. Originat i ng i n I.A. Richards' Philosophy of Rhetoric, the i nteraction t heory owes its present for m l ar g ely to the works of such scholars S Max Bl ack [1962; 1979], Carl H ausman [ 1 983 ; 1984; 1989], and Paul Ricoeur [1977]. Hars h l y cri ticizing the c o mp ari s on theory of metaphor for its i n ab i lity to address t h e creation of s imil a r i t y interaction theory p ro p oses that every m et ap h or involves an i nter action between i ts source and its target, a process in w h i ch the t arget (and possib ly the source) i s reorganized, and new s i m i l arit ies between the source and the target emerge. This account, w h i c h is exam i ned i n Chapter 3, is, however, quite vague, and even paradoxical at times. , For i nstance, it neither pins down what exactly thi s mysterious 'interac tion' i s , nor speciies exactly how the new similarities e me r ge There is a crucial problem here: the creation of similari ty i s obviously not an arbitrary p ro cess I f it were, then anyt h i ng would be mean i n gfu l and there would be n o way to maintain a disti n ction between wh a t is genui nely metaphorical . . 4 Met aphor an d Cognition and w h at i s certai nly nonsensical . B u t t hen what constrains t h is creation process? I t cannot be the similarities between the source and the target , for this would t u rn the i n teraction theory into nothing b u t a variant of the com parison theory, and all the crit i cism that the interactionists d irected against t he comparison theory can be d i rected at t hemselves . So t he question i s s t i l l unanswered: w here do t he created s i m ilarities come from ? A few scholars have tried to elaborate the i nteraction t heory and t ackle some of t hese i ssues head on, but again , by and large, either t hese elabo rations are quite vague t hemselves , relying on metaphors and analogies to communicate the key concepts involved i n their explanations, or t hey t urn the i nteraction theory into a variant of comparison theory. H ausman [1983], for instan ce, postulated ' u n iqueness ' and 'extra- l i nguistic' con d itions to ex plai n how metaphors can create new mean ings and similarit i es , but t hese conditions t hemselves are not spelled out w i t h much clarity. Verbrugge [ 1 980] proposed t hat a metaphor works by ' transform i ng' the target i nto the source, t hereby mak i n g it s i m i l ar to the source, but then i t i s not speciied exactly what this t ransformation p rocess is, and what constrains i t so t h at arb i trary transformations are ruled out . Tourangeau and Sternberg [1982] proposed a 'domains-interaction' view , w h i ch is p urported to be a ' more speciic for mulat ion of the i nteraction view , ' but w h i ch , i n essence, turns out to be t he comparison view i n d i sguise, because i t assumes an u n derlying analogy to be the basis of every metaphor. A notable except ion is provided by K i t t ay's [ 1 987] perspec t ival theory, which comes quite close to prov i d i ng a reasonable explanation of the creation of similarity. B u t , for the most part , we see t h at the i nteraction t heories have s t i l l retai ned t heir fuzzy character, which m ay wel l be the s ingle most i mportant reason cogni t i ve science researchers h ave shied away from them [ Waggoner 1990]. There i s also a minor i nconsistency i n the interaction view t hat is some times overlooked. At one place in his classic essay 'Metaphor,' Black re m arked, "If to call a man a wolf is to put h i m in a s pe c ial l ight , we must not forget t h at the metaphor m akes t h e w ol f seem more human t han he oth erwi se wou l d . " This clearly implies a symmetry i n the interaction between the source and the t arget However, at o t h er places in his d is c uss i on t here is a clearly implied as y m m e tr y For e x am p l e in his later essay 'More about Metaphor,' in a deeply insightfu l sect ion t i t led 'Thi nkin g in Metaphors ' Black cons iders how different concepts can organize the igure of the S tar of David differently. I n organizing the igure of Star of D av i d as t h ree parallelograms wi t h t heir axes one hundred and twenty degrees apart , the process does not, at the same t i m e organize our concept of parallelograms as a part of t he igure of the Star of Dav i d-t hat i s , t he parallelogram does not app e ar to be . . , , Prologue 5 Star-of- D av i d-li ke after the i nteraction. W h i le a few i nteractionists, such as Verbrugge an d 1\it t ay, see the i n teraction view a s essentially asymmetr i cal , others , Hausman for i nstance, have emphasized the symmetry aspect of the i n teract ion . H ausman [1989, p . 67] went as far as to argue that one need not disti ngu ish between the source and target of a metaphor. A result of this con fusion bas been that many scholars now accept the symmetry property to be a key aspect of the i nteraction t heory [Waggoner 1990], an d some, such as Lakoff and Turner [1989, pp. 131-133], use arguments agai nst the sym metry property as a way to d iscred i t the whole i nteraction theory. B lack 's i n s i ght fu l observations i n ' T h i n k i ng i n M etaphors ' seem t o have been grossly overlooked . Then t here i s the problem of explai n i ng the role of metaphor i n cogni t i o n . I t h as been recognized for quite some t i me now t hat metaphor i s not j ust a phenomenon of language, but pervades all aspects of cogn i t i o n . t h as been claimed that metaphors play a key role i n lean i ng and education [ Holstein 1970; Petrie 1979; Sticht 1979], and t hey are an i nval uable ai d to p roblem solvi n g [Schon 1963]. In the early stages of form ulat i ng a scient i i c t heory, met ap hors are often i n d ispensable [ Gruber 1978; Hesse 1980; M i l ler 1978; Roth bart 1984, p p . 611-612]. Religious schol ars have emphasi zed time and again t h at religious symbols ( scriptures, rituals, etc . ) derive thei r sig n i i cance due to t hei r metaphorical n at u re, and should not be taken l i terally [ B rown 1983; Soskice 1985; T i l l i ch 1961; Wheel wright 1954]. For i n stance, the Christ i an ritual of tak i ng communion i s meani ngful only i f one u nder stands it metaphoricall y. Hone does not bel ieve in the transsubstant i ation doctrine, then neither i s the bread li terally the body of the Christ , nor i s the w i ne l iterally H i s blood, a n d a metaphorical i n terpretation i s requi red to render the ritual meani ngful . Even if one adopts the transsubstan t i ation doct r ine, a metaphorical i nterpretation i s st i l l requ i red to att ach signiicance to what would l iterally be a can n i b alisti c act. The wel l- k nown mythologis t J oseph Campbell [1949; 1986; 1988] argued t h roughout h i s pol i i c career t h a t m y t h s are met aphorical ways of capturing the very essence of the expe rience of l iving, and, with an appropri ate metaphorical i n terpretation , various ancient myths are still as relevant as they m i ght have once been. Besides literature, met aphors pervade various other art forms. The ab stractionism p revalent i n contemporary arts parti c u l arly requ i res a metaphor i cal i nterpret at i on for a work to be meani ngfu l . W i l lem De Kooni ng's Exca vations, Barnett Newman 's Achilles, and J ackson Pollock 's Cathedral are all examples of pai n t ings that req uire metaphorical i nterpretations to be u nder stood. Joh n Cage's compos i t ion 4'3311 which is essentia.ll y 4 m i n u tes and 3 3 6 Met aphor and Cogni tion seconds of silence, is another case in poi n t . ( See Cage's ' Lectu re on Not h ing, ' i n Cage [ 1 96 1 ) , p p . 1 08-1 27 . See also Rowel l [ 1 983] for the role of metaphors in music, including an i nterpretation of 4 ' 33" [p. 220] . ) Fox [ 1 982) , in i n t ro ducing the works of six modern sculptors, Vito A cconci , S i ah A rmaj an i , A l i ce Aycock , Lauren Ewing, Robert Morris , and Dennis Oppenheim , h as further emphasized the reli ance of contemporary art on metaphor to commun i cate i t s meaning. Whi t tock [ 1 990] has analyzed several diferent types of metaphors i n feature i lms, m any of w h i ch were consciously i nt roduced by the directors . For i nstance, the classic shower scene from A l fred H i tchcock 's Psycho i s seen as an act of spirit ual cleansing: Marion C rane ( J anet Leigh ) , hav ing decided to go back and return the money she absconded w i t h , is not j ust washing away her body, but i s also ridding herself of the gui l t [Wood 1 989, p . 1 46] . This identiication enhances t he shock of her subsequent murder a great deal [ W h i ttock 1 990, p. 53] . Fi nal ly, ant h ropologists have poi nted out t hat many of our own social, cultural and moral val ues result from the metaphors t h at are p revalent in our society and cult u re [Kempton 1 987; Lakoff & Kovecses 1 98 7 ; Q u i n n 1 987; Reddy 1 979; Schon 1 9 7 9 ; Tuner 1 9 74] . For i nstance, Q u i n n 's study found t h at t here are different metaphors u n derlying t he modern A merican concept of marri age: 'a manufactu red product , ' 'an ongoing jouney, ' 'an i n vestment , ' a n d s o o n . She also fou n d t h at a n i n d i v idual's perception o f whether h i s o r h e r marr i age i s a success or a fai l ure, whether t here i s some problem facing the marriage, and i f so, how i t might be corrected , etc. are all determined by the u nderlying metaphor. G i ven t h i s overwhelm i n g evidence for the variety of roles metaphors play i n cogni t i o n , one would expect a t heory of metaphor to shed some light on what it i s about metaphor that m akes i t pervade so many d i ferent fac e t s of cogn i t i on . In fac t , the evidence is so strong as to suggest that a t heory of metaphor should perhaps be set within a fr am e work of cogni t ion . That i s , t h ere should be a general account of cogni t i o n , and metaphor should be presented as one of the mechanisms u sed in cogn i tion. J n exploring t h i s hypothes i s , w e i n d that there exi s ts a problem i n cogni t i on that is remarkably parallel to the problem posed by similarity-creati n g metaphors . T hi s problem has to do w i t h a v i ew of cogni t i on according to w h i ch the world view of a cogni t i ve agent does not relect some pre-exis t i ng structures i n the external world , but is created by the cogni t i ve agent . Yet , t h i s creation is not arb i trary, but i s constrained b y t h e external world . Per haps not surprisi ngly, this view is referred to as th e interaction view of cog nition, sin c e it sees cogn ition as a process of i nteracti o n between a cognitive
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