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1
Second-Order Systematicity of Associative Learning: A Paradox for Classical Compositionality and a Coalgebraic Resolution
Phillips, Steven; Wilson, William H.. - : Public Library of Science, 2016
Abstract: Systematicity is a property of cognitive architecture whereby having certain cognitive capacities implies having certain other “structurally related” cognitive capacities. The predominant classical explanation for systematicity appeals to a notion of common syntactic/symbolic structure among the systematically related capacities. Although learning is a (second-order) cognitive capacity of central interest to cognitive science, a systematic ability to learn certain cognitive capacities, i.e., second-order systematicity, has been given almost no attention in the literature. In this paper, we introduce learned associations as an instance of second-order systematicity that poses a paradox for classical theory, because this form of systematicity involves the kinds of associative constructions that were explicitly rejected by the classical explanation. Our category theoretic explanation of systematicity resolves this problem, because both first and second-order forms of systematicity are derived from the same categorical construction: universal morphisms, which generalize the notion of compositionality of constituent representations to (categorical) compositionality of constituent processes. We derive a model of systematic associative learning based on (co)recursion, which is an instance of a universal construction. These results provide further support for a category theory foundation for cognitive architecture.
Keyword: Research Article
URL: https://doi.org/10.1371/journal.pone.0160619
http://www.ncbi.nlm.nih.gov/pubmed/27505411
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4978477/
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2
Analogy, Cognitive Architecture and Universal Construction: A Tale of Two Systematicities
Phillips, Steven. - : Public Library of Science, 2014
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3
Categorial Compositionality III: F-(co)algebras and the Systematicity of Recursive Capacities in Human Cognition
Phillips, Steven; Wilson, William H.. - : Public Library of Science, 2012
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4
Darwin's mistake: explaining the discontinuity between human and nonhuman minds : [including open peer commentary and authors' response]
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 31 (2008) 3, 109-178
BLLDB
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5
Analogy as relational priming: a developmental and computational perspective on the origins of a complex cognitive skill [; including open peer commentary and authors' response]
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 31 (2008) 4, 357-414
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6
Abstract analogies not primed by relations learned as object transformations
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 31 (2008) 4, 393
OLC Linguistik
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7
The missing link: Dynamic, modifiable representations in working memory
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 31 (2008) 2, 137
OLC Linguistik
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8
Kenneth Aizawa: The Systematicity Arguments: Studies in Brain and Mind. Dordrecht, The Netherlands, Kluwer Academic Publishers, 2002, xiii-255 [Rezension]
In: Minds and machines. - Dordrecht [u.a.] : Springer Science + Business Media B.V 17 (2007) 3, 357-360
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9
Neo-associativism: Limited learning transfer without binding symbol representations
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 25 (2002) 3, 350
OLC Linguistik
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10
Does classicism explain universality?
In: Minds and machines. - Dordrecht [u.a.] : Springer Science + Business Media B.V 12 (2002) 3, 423-434
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11
The STAR-2 model for mapping hierarchically structured analogs
In: The analogical mind (Cambridge, Mass., 2001), p. 125-159
MPI für Psycholinguistik
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12
Constituent similarity and systematicity: the limits of first-order connectionism
In: Connection science. - Abingdon, Oxfordshire : Taylor & Francis 12 (2000) 1, 45-64
OLC Linguistik
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13
Systematic minds, unsystematic models : learning transfer in humans and networks
In: Minds and machines. - Dordrecht [u.a.] : Springer Science + Business Media B.V 9 (1999) 3, 383-398
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14
Are feedforward and recurrent networks systematic? : Analysis and implications for a connectionist cognitive architeture
In: Connection science. - Abingdon, Oxfordshire : Taylor & Francis 10 (1998) 2, 137-160
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15
Are Feedforward and Recurrent Networks Systematic? Analysis and Implications for a Connectionist Cognitive Architecture
In: Connection science. - Abingdon, Oxfordshire : Taylor & Francis 10 (1998) 2, 137
OLC Linguistik
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16
Processing capacity defined by relational complexity : implications for comparative, developmental, and cognitive psychology (including open peer commentary and authors' response)
In: Behavioral and brain sciences. - New York, NY [u.a.] : Cambridge Univ. Press 21 (1998) 6, 803-864
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