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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
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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
Abstract: Human cognitive capacity includes recursively definable concepts, which are prevalent in domains involving lists, numbers, and languages. Cognitive science currently lacks a satisfactory explanation for the systematic nature of such capacities (i.e., why the capacity for some recursive cognitive abilities–e.g., finding the smallest number in a list–implies the capacity for certain others–finding the largest number, given knowledge of number order). The category-theoretic constructs of initial F-algebra, catamorphism, and their duals, final coalgebra and anamorphism provide a formal, systematic treatment of recursion in computer science. Here, we use this formalism to explain the systematicity of recursive cognitive capacities without ad hoc assumptions (i.e., to the same explanatory standard used in our account of systematicity for non-recursive capacities). The presence of an initial algebra/final coalgebra explains systematicity because all recursive cognitive capacities, in the domain of interest, factor through (are composed of) the same component process. Moreover, this factorization is unique, hence no further (ad hoc) assumptions are required to establish the intrinsic connection between members of a group of systematically-related capacities. This formulation also provides a new perspective on the relationship between recursive cognitive capacities. In particular, the link between number and language does not depend on recursion, as such, but on the underlying functor on which the group of recursive capacities is based. Thus, many species (and infants) can employ recursive processes without having a full-blown capacity for number and language.
Keyword: Research Article
URL: http://www.ncbi.nlm.nih.gov/pubmed/22514704
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3325926
https://doi.org/10.1371/journal.pone.0035028
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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
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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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