Relational Categories Dedre Gentner and Kenneth J Kurtz Relational Categories

This chapter is concerned with the acquisition and use of relational categories. By relational category, we mean a category whose membership is determined by a common relational structure rather than by common properties. For instance, for X to be a bridge, X must connect two other entities or points; for X to be a carnivore, X must eat animals. Relational categories contrast with entity categories such as tulip or camel, whose members share many intrinsic properties. Relational categories cohere on the basis of a core relationship fulfilled by all members. This relation may be situation-specific (e.g., passenger or accident) or enduring (e.g., carnivore or ratio). Relational categories abound in ordinary language. Some are restricted in their arguments: For example, carnivores are animals who eat other animals. But for many relational categories, the arguments can range widely: for example, a bridge can connect two concrete locations, or two generations, or two abstract ideas. As with bridge, the instances of a relational category can have few or no intrinsic properties in common with one another. Research on categories has mostly ignored relational categories, focusing instead on entity categories-categories that can be characterized in terms of intrinsic similarity among members, like those shown in Figure 9.1. Further, as Moos and Sloutsky (2004) point out, theories of categorization have often operated under the assumption that all concepts are fundamentally alike. However, as Medin and his colleagues (Medin, Lynch, & Coley, 1997; Medin, Lynch, & Solomon, 2000) have argued, categories are not uniform in character, and the variations support a range of different functions. In this chapter, we contrast relational categories-categories whose members satisfy a specified relational

[1]  Robert L. Goldstone,et al.  Mainstream and Avant-Garde Similarity , 1995 .

[2]  D. Medin,et al.  Context and structure in conceptual combination , 1988, Cognitive Psychology.

[3]  Bradley C. Love,et al.  CAB: Connectionist Analogy Builder , 2003, Cogn. Sci..

[4]  D. Gentner,et al.  Comparison and Categorization in the Development of Relational Similarity , 1996 .

[5]  Brian F. Bowdle,et al.  The career of metaphor. , 2005, Psychological review.

[6]  Arthur B. Markman,et al.  Constraints on Analogical Inference , 1997, Cogn. Sci..

[7]  Steven A. Sloman,et al.  Artifacts are not ascribed essences, nor are they treated as belonging to kinds , 2003 .

[8]  Eve V. Clark,et al.  The Lexicon in Acquisition , 1996 .

[9]  Jennifer A. Asmuth,et al.  Context Sensitivity of Relational Nouns , 2005 .

[10]  Dedre Gentner,et al.  Why Nouns Are Learned before Verbs: Linguistic Relativity Versus Natural Partitioning. Technical Report No. 257. , 1982 .

[11]  E. Rosch,et al.  Family resemblances: Studies in the internal structure of categories , 1975, Cognitive Psychology.

[12]  Brian H. Ross,et al.  Postclassification category use : The effects of learning to use categories after learning to classify , 1999 .

[13]  D. Gentner,et al.  Structure mapping in analogy and similarity. , 1997 .

[14]  Bob Rehder,et al.  Categorization as causal reasoning , 2003, Cogn. Sci..

[15]  Dedre Gentner,et al.  Why we’re so smart , 2003 .

[16]  L R Brooks,et al.  Perceptual manifestations of an analytic structure: the priority of holistic individuation. , 1993, Journal of experimental psychology. General.

[17]  M. Seligman,et al.  Language in the two-year old , 1976, Cognition.

[18]  Michael Ramscar,et al.  Semantic grounding in models of analogy: an environmental approach , 2003, Cogn. Sci..

[19]  D. Gentner,et al.  Respects for similarity , 1993 .

[20]  D. Medin,et al.  Are there kinds of concepts? , 2000, Annual review of psychology.

[21]  Sandra R. Waxman,et al.  Words as Invitations to Form Categories: Evidence from 12- to 13-Month-Old Infants , 1995, Cognitive Psychology.

[22]  R. Brown How shall a thing be called. , 1958, Psychological review.

[23]  S. Levinson Frames of reference and Molyneux's question: Cross-linguistic evidence , 1996 .

[24]  M. Lassaline,et al.  Structural alignment in induction and similarity. , 1996, Journal of experimental psychology. Learning, memory, and cognition.

[25]  E. Heit,et al.  Similarity and property effects in inductive reasoning. , 1994, Journal of experimental psychology. Learning, memory, and cognition.

[26]  Dedre Gentner,et al.  Spatial Mapping in Preschoolers: Close Comparisons Facilitate Far Mappings , 2001 .

[27]  D. Gentner,et al.  Analogical encoding facilitates knowledge transfer in negotiation , 1999, Psychonomic bulletin & review.

[28]  “Schooling and the acquisition of knowledge” , 1979 .

[29]  Robert L. Goldstone The role of similarity in categorization: providing a groundwork , 1994, Cognition.

[30]  L. Barsalou Ideals, central tendency, and frequency of instantiation as determinants of graded structure in categories. , 1985, Journal of experimental psychology. Learning, memory, and cognition.

[31]  B. Ross This is like that: The use of earlier problems and the separation of similarity effects. , 1987 .

[32]  G. Lakoff,et al.  Metaphors We Live by , 1982 .

[33]  Kenneth D. Forbus Qualitative Process Theory , 1984, Artificial Intelligence.

[34]  Melissa Lin Wu Structure in Category-Based Induction , 2003 .

[35]  D. Gentner Structure‐Mapping: A Theoretical Framework for Analogy* , 1983 .

[36]  Dedre Gentner,et al.  Some interesting differences between nouns and verbs , 1981 .

[37]  D. Gentner,et al.  Flowing waters or teeming crowds: Mental models of electricity , 1982 .

[38]  Mutsumi Imai,et al.  Mapping novel nouns and verbs onto dynamic action events: are verb meanings easier to learn than noun meanings for Japanese children? , 2005, Child development.

[39]  Brian Falkenhainer,et al.  The Structure-Mapping Engine: Algorithm and Examples , 1989, Artif. Intell..

[40]  K. Hirsh-Pasek,et al.  Let the Mute Speak: What Infants Can Tell Us about Language Acquisition. , 1990 .

[41]  V. Sloutsky,et al.  Are natural kinds psychologically distinct from nominal kinds? Evidence from Learning and Development , 2004 .

[42]  Paul C Quinn,et al.  Development of Form Similarity as a Gestalt Grouping Principle in Infancy , 2002, Psychological science.

[43]  Kenneth D. Forbus,et al.  A Theory of Rerepresentation in Analogical Matching , 2003 .

[44]  Barbara Landau,et al.  Count nouns, adjectives, and perceptual properties in children's novel word interpretations. , 1992 .

[45]  Graeme S. Halford,et al.  A Structure-Mapping Approach to Cognitive Development , 1987 .

[46]  L. Rips Similarity, typicality, and categorization , 1989 .

[47]  D. Gentner,et al.  Language acquisition and conceptual development: Individuation, relativity, and early word learning , 2001 .

[48]  R. Sternberg Advances in the psychology of human intelligence , 1982 .

[49]  Lance J. Rips,et al.  Semantic distance and the verification of semantic relations , 1973 .

[50]  Dedre Gentner,et al.  The Verb Mutability Effect: Studies of the Combinatorial Semantics of Nouns and Verbs , 1990 .

[51]  Robert L. Goldstone Isolated and interrelated concepts , 1996, Memory & cognition.

[52]  Brian H. Ross,et al.  Food for Thought: Cross-Classification and Category Organization in a Complex Real-World Domain , 1999, Cognitive Psychology.

[53]  F. Keil,et al.  A Characteristic-to-Defining Shift in the Development of Word Meaning. , 1984 .

[54]  Ellen M. Markman,et al.  Categorization and Naming in Children: Problems of Induction , 1989 .

[55]  Soonja Choi,et al.  Space under construction: Language-specific spatial categorization in first language acquisition , 2003 .

[56]  Steven A. Sloman,et al.  Feature Centrality and Conceptual Coherence , 1998, Cogn. Sci..

[57]  D. Medin,et al.  The specific character of abstract thought: Categorization, problem-solving, and induction: Volume 5 , 1989 .

[58]  Dedre Gentner,et al.  Systematicity as a Selection Constraint in Analogical Mapping , 1991, Cogn. Sci..

[59]  D. Gentner,et al.  Mundane Comparisons Can Facilitate Relational Understanding , 2003 .

[60]  H. Gleitman,et al.  Human simulations of vocabulary learning , 1999, Cognition.

[61]  Dedre Gentner,et al.  Mechanisms of Analogical Learning. , 1987 .

[62]  M. Ross Quillian,et al.  Retrieval time from semantic memory , 1969 .

[63]  Dedre Gentner,et al.  Why do metaphors seem deeper than similes? , 2019, Proceedings of the Twenty-Fourth Annual Conference of the Cognitive Science Society.

[64]  J. Bruner,et al.  Studies In Cognitive Growth , 1966 .

[65]  Alan W. Kersten,et al.  Semantic context influences memory for verbs more than memory for nouns , 2004, Memory & cognition.

[66]  K. Holyoak,et al.  Surface and structural similarity in analogical transfer , 1987, Memory & cognition.

[67]  W. Nagy,et al.  Figurative patterns and redundancy in the lexicon , 1974 .

[68]  Dedre Gentner,et al.  Kinds of Kinds: Sources of Category Coherence , 2001 .

[69]  Leonard Talmy,et al.  Semantics and syntax of motion , 1975 .

[70]  D. Medin,et al.  Categorization and Reasoning among Tree Experts: Do All Roads Lead to Rome? , 1997, Cognitive Psychology.

[71]  D. Gentner,et al.  Reasoning from shared structure , 2000 .

[72]  Douglas L. Medin,et al.  On the Interaction of Theory and Data in Concept Learning , 1994, Cogn. Sci..

[73]  D. Slobin From “thought and language” to “thinking for speaking” , 1996 .

[74]  D. Medin,et al.  Comments on part I: psychological essentialism , 1989 .

[75]  R. Barr,et al.  Category representations and their implications for category structure , 1987, Memory & cognition.

[76]  Kenneth D. Forbus,et al.  The Roles of Similarity in Transfer: Separating Retrievability From Inferential Soundness , 1993, Cognitive Psychology.

[77]  G. Frege On Sense and Reference , 1948 .

[78]  Lauretta M. Reeves,et al.  The Role of Content and Abstract Information in Analogical Transfer , 1994 .

[79]  G. Miller,et al.  Language and Perception , 1976 .

[80]  D. Gentner,et al.  More evidence for a relational shift in the development of analogy: Children's performance on a causal-mapping task , 1998 .

[81]  Ferdinand de Saussure Course in General Linguistics , 1916 .

[82]  P. Jusczyk The discovery of spoken language , 1997 .

[83]  Mutsumi Imai,et al.  Children's Theories of Word Meaning: The Role of Shape Similarity in Early Acquisition , 1994 .

[84]  D L Medin,et al.  Concepts and conceptual structure. , 1989, The American psychologist.

[85]  L. Brooks,et al.  Role of specific similarity in a medical diagnostic task. , 1991, Journal of experimental psychology. General.

[86]  John E. Hummel,et al.  Distributed representations of structure: A theory of analogical access and mapping. , 1997 .

[87]  Kenneth D. Forbus,et al.  Learning Physical Domains: Toward a Theoretical Framework. , 1986 .

[88]  Peter Szolovits,et al.  What Is a Knowledge Representation? , 1993, AI Mag..

[89]  L. Barsalou,et al.  Ad hoc categories , 1983, Memory & cognition.

[90]  Sandra R. Waxman,et al.  Assumptions about Word Meaning: Individuation and Basic‐Level Kinds , 1993 .

[91]  D. Gentner,et al.  Language and the career of similarity. , 1991 .

[92]  Elizabeth Bates,et al.  A cross-linguistic study of early lexical development , 1995 .

[93]  A. Paivio Imagery and verbal processes , 1972 .

[94]  D. Medin,et al.  Tall is typical: Central tendency, ideal dimensions, and graded category structure among tree experts and novices , 2000, Memory & cognition.

[95]  N. Sobin Texas Spanish and lexical borrowing , 1976 .

[96]  D. Gentner,et al.  Similarity and the development of rules , 1998, Cognition.

[97]  Kenneth D. Forbus,et al.  MAC/FAC: A Model of Similarity-Based Retrieval , 1995, Cogn. Sci..

[98]  D. Medin,et al.  Concepts do more than categorize , 1999, Trends in Cognitive Sciences.

[99]  W. Ahn Why are different features central for natural kinds and artifacts?: the role of causal status in determining feature centrality , 1998, Cognition.

[100]  S F Chipman,et al.  Influence of six types of visual structure on complexity judgments in children and adults. , 1979, Journal of experimental psychology. Human perception and performance.

[101]  Robert L. Goldstone,et al.  Using relations within conceptual systems to translate across conceptual systems , 2002, Cognition.

[102]  Dare A. Baldwin,et al.  Priorities in children's expectations about object label reference: form over color. , 1989, Child development.

[103]  Twila Tardif,et al.  Putting the "Noun Bias" in Context: A Comparison of English and Mandarin. , 1999 .

[104]  D. Gentner,et al.  Comparison in the Development of Categories , 1999 .

[105]  Eve Sweetser From Etymology To Pragmatics , 1990 .

[106]  Dedre Gentner,et al.  What looks like a jiggy but acts like a zimbo?: A study of early word meaning using artificial objects , 1978 .

[107]  W. Ahn,et al.  Causal Status as a Determinant of Feature Centrality , 2000, Cognitive Psychology.

[108]  Robert L. Goldstone,et al.  Conceptual interrelatedness and caricatures , 2003, Memory & cognition.

[109]  Arthur B. Markman,et al.  Role-governed categories , 2001, J. Exp. Theor. Artif. Intell..

[110]  D. Medin,et al.  The role of theories in conceptual coherence. , 1985, Psychological review.