Abstract
One of the hallmarks of human cognition is the capacity to generalize over arbitrary constituents. Recently, Marcus (1998, 1998a, b; Cognition 66, p. 153; Cognitive Psychology 37, p. 243) argued that this capacity, called “universal generalization” (universality), is not supported by Connectionist models. Instead, universality is best explained by Classical symbol systems, with Connectionism as its implementation. Here it is argued that universality is also a problem for Classicism in that the syntax-sensitive rules that are supposed to provide causal explanations of mental processes are either too strict, precluding possible generalizations; or too lax, providing no information as to the appropriate alternative. Consequently, universality is not explained by a Classical theory.
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Abney, S. (1996), ‘Statistical Methods and Linguistics’, in J. L. Klavans and P. Resnik, eds., The Balancing Act: Combining Symbolic and Statistical Approaches to Language, Cambridge, MA: MIT Press, pp. 1–26.
Boden, M. and Niklasson, L. (2000), ‘Semantic Systematicity and Context in Connectionist Networks’, Connection Science 12(2), pp. 1–31.
Christiansen, M. H. and Chater, N. (1999), ‘Toward a Connectionist Model of Recursion in Human Linguistic Performance’, Cognitive Science 23, pp. 157–205.
Fodor, J. A. (1983), The Modularity of Mind: An Essay on Faculty Psychology, Cambridge, MA: MIT Press.
Fodor, J. A. (2000), The Mind Doesn't Work That Way: The Scope and Limits of Cognitive Psychology, Cambridge, MA: MIT Press.
Fodor, J. A. and McLaughlin, B. P. (1990), ‘Connectionism and the Problem of Systematicity: Why Smolensky's Solution Doesn't Work’, Cognition 35, pp. 183–204.
Fodor, J. A. and Pylyshyn, Z. W. (1988), ‘Connectionism and Cognitive Architecture: A Critical Analysis’, Cognition 28, pp. 3–71.
Gentner, D. (1983), ‘Structure-Mapping: A Theoretical Framework for Analogy’, Cognitive Science 7, pp. 47–59.
Hadley, R. F. (1994), ‘Systematicity in Connectionist Language Learning’, Mind and Language 9(3), pp. 247–272.
Hadley, R. F. and Hayward, M. B. (1997), ‘Strong Semantic Systematicity from Hebbian Connectionist Learning’, Minds and Machines 7, pp. 1–37.
Halford, G. S., Phillips, S. and Wilson, W. H. (submitted), ‘Structural Complexity in Non-Symbolic and Symbolic Cognitive Processes: The Concept of Representational Rank’.
Halford, G. S. and Wilson, W. H. (1980), ‘A Category Theory Approach to Cognitive Development’, Cognitive Psychology 12, pp. 356–411.
Halford, G. S., Wilson, W. H. and Phillips, S. (1998), ‘Processing Capacity Defined by Relational Complexity: Implications for Comparative, Developmental, and Cognitive Psychology’, Behavioral and Brain Sciences 21(6), pp. 803–831.
Hummel, J. E. and Holyoak, K. J. (1997), ‘Distributed Representations of Structure: A Theory of Analogical Access and Mapping’, Psychological Review 104(3), pp. 427–466.
Marcus, G. F. (1998a), ‘Can Connectionism Save Constructivism?’ Cognition 66, pp. 153–182.
Marcus, G. F. (1998b), ‘Rethinking Eliminative Connectionism’, Cognitive Psychology 37, pp. 243–282.
Marcus, G. F. (1999), ‘Connectionism: With or Without Rules? Response to J.L. McClelland and D.C. Plaut (1999)’, Trends in Cognitive Science 3(5), pp. 168–170.
Marcus, G. F., Vijayan, S., Rao, S. B. and Vishton, P. M. (1999), ‘Rule Learning by Seven-Month-Old Infants’, Science 283, pp. 77–80.
McClelland, J. L. and Plaut, D. C. (1999), Does Generalization in Infant Learning Implicate Abstract Algebra-Like Rules? Trends in Cognitive Science 3(5), pp. 166–168.
Phillips, S. (1995), ‘Connectionism and the Problem of Systematicity’, PhD Thesis, Department of Computer Science, University of Queensland, Brisbane, Australia.
Phillips, S. (1998), ‘Are Feedforward and Recurrent Networks Systematic? Analysis and Implications for a Connectionist Cognitive Architecture’, Connection Science 10(2), pp. 137–160.
Phillips, S. (1999), ‘Systematic Minds, Unsystematic Models: Learning Transfer in Humans and Networks’, Minds and Machines 9(3), pp. 383–398.
Phillips, S. (2000), ‘Constituent Similarity and Systematicity: The Limits of First-Order Connectionism’, Connection Science 12(1), pp. 1–19.
Pinker, S. (1994), The Language Instinct: How the Mind Creates Language, New York, NY: Harper Perennial
Wilson, W. H., Halford, G. S., Gray, B. and Phillips, S. (2001), ‘The STAR-2 Model for Mapping Hierarchically Structured Analogs’, in D. Gentner, K. J. Holyoak and B. Kokinov, eds., The Analogical Mind: Perspectives from Cognitive Science, Cambridge, MA: MIT Press, pp. 125–159.
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Phillips, S. Does Classicism Explain Universality?. Minds and Machines 12, 423–434 (2002). https://doi.org/10.1023/A:1016160512967
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DOI: https://doi.org/10.1023/A:1016160512967