creators_name: Vigo , Ronaldo creators_id: vigo@ohio.edu type: journalp datestamp: 2012-11-09 17:46:08 lastmod: 2012-11-09 17:46:08 metadata_visibility: show title: Modal Similarity ispublished: pub subjects: appl-cog-psy subjects: cog-psy subjects: comp-psy subjects: comp-sci-art-intel subjects: comp-sci-mach-learn subjects: comp-sci-robot subjects: phil-mind full_text_status: public keywords: similarity; modality; higher-order similarity; Boolean relational categories; Boolean metacategories; Boolean operators; modal categories abstract: Just as Boolean rules define Boolean categories, the Boolean operators define higher-order Boolean categories referred to as modal categories. We examine the similarity order between these categories and the standard category of logical identity (i.e. the modal category defined by the biconditional or equivalence operator). Our goal is 4-fold: first, to introduce a similarity measure for determining this similarity order; second, to show that such a measure is a good predictor of the similarity assessment behaviour observed in our experiment involving key modal categories; third, to argue that as far as the modal categories are concerned, configural similarity assessment may be componential or analytical in nature; and lastly, to draw attention to the intimate interplay that may exist between deductive judgments, similarity assessment and categorisation. date: 2009 date_type: published publication: Journal of Experimental & Theoretical Artificial Intelligence volume: 21 number: 3 publisher: Taylor and Francis pagerange: 181-196 refereed: TRUE referencetext: Carnap, R. (1928), Der Logische Aufbau der Welt. Leipzig: Felix Meiner Verlag. (Rolf A. George, 1967, English trans.), The Logical Structure of the World. Pseudoproblems in Philosophy, Berkeley and Los Angeles, CA: University of California Press. Conant, M.B, and Trabsso, T. (1964), ‘Conjunctive and Disjunctive Concept Formation under Equal-information Conditions’, Journal of Experimental Pychology, 67, 250–255. Feldman, J. (2000), ‘Minimization of Boolean Complexity in Human Concept Learning’, Nature, 407, 630–633. Medin, D.L., Goldstone, R.L., and Gentner, D. (1990), ‘Similarity Involving Attributes and Relations: Judgments of Similarity and Difference are not Inverses’, Psychological Science, Research Report, 1(1), 64–69. Goodman, N. (1951), The Structure of Appearance, Cambridge, MA: Harvard UP. Haygood, R.C., and Bourne Jr., L.E. (1965), ‘Attribute-and-rule Learning Aspects of Conceptual Behaviour’, Psychological Review, 72, 175–195. Herrnstein, R.J. (1990), ‘Levels of Stimulus Control: A Functional Approach’, Cognition, 37, 133–166. Hunt, E.B., and Hovland, C.I. (1960), ‘Order of Consideration of Different Types of Concepts’, Journal of Experimental Psychology, 59, 220–225. Kroger, J., Holyoak, K., and Hummel, J. (2004), ‘Varieties of Sameness: The Impact of Relational Complexity on Perceptual Comparisons’, Cognitive Science Journal, 28(3), 335–358. Lafond, D., Lacouture, Y., and Mineau, G. (2006), ‘Complexity Minimization in Rule-based Category Learning: Revising the Catalog of Boolean Concepts and Evidence for Non-minimal Rules’, Journal of Mathematical Psychology, 51(2), 57–74. Love, B.C. (2000), ‘A Computational Level Theory of Similarity’, in Proceedings of the Cognitive Science Society, USA, 22, pp. 316–321. Luce, R.D. (1959), Individual Choice Behavior: A Theoretical Analysis, New York: Wiley. Nosofsky, R.M. (1984), ‘Choice, Similarity, and the Context Theory of Classification’, Journal of Experimental Psychology: Learning, Memory, and Cognition, 10, 104–114. Nosofsky, R.M., Palmeri, T.J., and McKinley, S.C. (1994), ‘Rule-plus-exception Model of Classification Learning’, Psychological Review, 101(1), 53–79. Shepard, R.N. (1974), ‘Representation of structure in similarity data: Problems and prospects’, Psychometrika, 39(4), 373–422. Shepard, R.N. (1987), ‘Toward a universal law of generalization for psychological science’, Science, 237, 1317–1323. Shepard, R., Hovland, C.L., and Jenkins, H.M. (1961), ‘Learning and Memorization of Classifications’, Psychological Monographs: General and Applied, 75(13), 1–42. Tversky, A. (1977), ‘Features of Similarity’, Psychological Review, 84(4), 327–352. Vigo, R. (2006), ‘A Note on the Complexity of Boolean Concepts’, Journal of Mathematical Psychology, 50, 501–510. Vigo, R. (2008), ‘Categorical Invariance and Structural Complexity in Human Concept Learning’, Journal of Mathematical Psychology in press. Welles, H. (1963), ‘Effects of Transfer and Problem Structure in Disjunctive Concept Formation’, Journal of Experimental Psychology, 65, 63–69. citation: Vigo , Dr. Ronaldo (2009) Modal Similarity. [Journal (Paginated)] document_url: http://cogprints.org/7957/1/Vigo%20%282009a%29.pdf