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Original Articles

Algebraic Learning and Neural Network Models for Transitive and Non-transitive Responding

Pages 307-334 | Published online: 21 Sep 2010

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (3)

BarlowC. Wright, Suzanne Robertson & Lucy Hadfield. (2011) Transitivity for height versus speed: To what extent do the under-7s really have a transitive capacity?. Thinking & Reasoning 17:1, pages 57-81.
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BarlowC. Wright & Donna Howells. (2008) Getting one step closer to deduction: Introducing an alternative paradigm for transitive inference. Thinking & Reasoning 14:3, pages 244-280.
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Articles from other publishers (26)

Surabhi Ramawat, Isabel Beatrice Marc, Francesco Ceccarelli, Lorenzo Ferrucci, Giampiero Bardella, Stefano Ferraina, Pierpaolo Pani & Emiliano Brunamonti. (2023) The transitive inference task to study the neuronal correlates of memory-driven decision making: A monkey neurophysiology perspective. Neuroscience & Biobehavioral Reviews 152, pages 105258.
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Sam C. Berens & Chris M. Bird. (2022) Hippocampal and medial prefrontal cortices encode structural task representations following progressive and interleaved training schedules. PLOS Computational Biology 18:10, pages e1010566.
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Erik van Haeringen & Charlotte Hemelrijk. (2022) Hierarchical development of dominance through the winner-loser effect and socio-spatial structure. PLOS ONE 17:2, pages e0243877.
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Takashi Hotta, Kentaro Ueno, Yuya Hataji, Hika Kuroshima, Kazuo Fujita & Masanori Kohda. (2020) Transitive inference in cleaner wrasses (Labroides dimidiatus). PLOS ONE 15:8, pages e0237817.
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Olga F. Lazareva, Regina Paxton Gazes, Zachary Elkins & Robert Hampton. (2020) Associative models fail to characterize transitive inference performance in rhesus monkeys (Macaca mulatta). Learning & Behavior 48:1, pages 135-148.
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Juan D. Delius & Julia A. M. Delius. (2019) Systematic Analysis of Pigeons’ Discrimination of Pixelated Stimuli: A Hierarchical Pattern Recognition System Is Not Identifiable. Scientific Reports 9:1.
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Héctor O. Camarena, Oscar García-Leal, José E. Burgos, Felipe Parrado & Laurent Ávila-Chauvet. (2018) Transitive Inference Remains Despite Overtraining on Premise Pair C+D-. Frontiers in Psychology 9.
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Ann Galizio, Adam H. Doughty, Dean C. Williams & Kathryn J. Saunders. (2017) Understanding behavior under nonverbal transitive-inference procedures: Stimulus-control-topography analyses. Behavioural Processes 140, pages 202-215.
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Greg Jensen, Fabian Muñoz, Yelda Alkan, Vincent P. Ferrera & Herbert S. Terrace. (2015) Implicit Value Updating Explains Transitive Inference Performance: The Betasort Model. PLOS Computational Biology 11:9, pages e1004523.
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Olga F. Lazareva, Kaitlyn Kandray & Martin J. Acerbo. (2015) Hippocampal lesion and transitive inference: Dissociation of inference-based and reinforcement-based strategies in pigeons. Hippocampus 25:2, pages 219-226.
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Marco Vasconcelos & Tiago Monteiro. (2014) European starlings unriddle the ambiguous-cue problem. Frontiers in Psychology 5.
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David Guez & Charles Audley. (2013) Transitive or Not: A Critical Appraisal of Transitive Inference in Animals. Ethology 119:9, pages 703-726.
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Olga F. Lazareva & Edward A. Wasserman. (2012) Transitive inference in pigeons: Measuring the associative values of Stimuli B and D. Behavioural Processes 89:3, pages 244-255.
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Olga F. Lazareva & Edward A. Wasserman. (2010) Nonverbal transitive inference: Effects of task and awareness on human performance. Behavioural Processes 83:1, pages 99-112.
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T.R. Zentall, P. Craddock & M. Molet. (2008) Apprentissage de concepts perceptuels, associationnels et relationnels chez le pigeon. Psychologie Française 53:3, pages 411-436.
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Marco Vasconcelos. (2008) Transitive inference in non-human animals: An empirical and theoretical analysis. Behavioural Processes 78:3, pages 313-334.
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Michael J. Frank, Randall C. O'Reilly & Tim Curran. (2016) When Memory Fails, Intuition Reigns. Psychological Science 17:8, pages 700-707.
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Olga F. Lazareva & Edward A. Wasserman. (2006) Effect of stimulus orderability and reinforcement history on transitive responding in pigeons. Behavioural Processes 72:2, pages 161-172.
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Michael J. Frank, Jerry W. Rudy, William B. Levy & Randall C. O’Reilly. (2005) When logic fails: Implicit transitive inference in humans. Memory & Cognition 33:4, pages 742-750.
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Olga F. Lazareva, Anna A. Smirnova, Maria S. Bagozkaja, Zoya A. Zorina, Vladimir V. Rayevsky & Edward A. Wasserman. (2004) TRANSITIVE RESPONDING IN HOODED CROWS REQUIRES LINEARLY ORDERED STIMULI. Journal of the Experimental Analysis of Behavior 82:1, pages 1-19.
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Gudrun Melsbach, Martina Siemann & Juan D. Delius. (2003) Right or Wrong, Familiar or Novel in Pictorial List Discrimination Learning. Experimental Psychology 50:4, pages 285-297.
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Michael J. Frank, Jerry W. Rudy & Randall C. O'Reilly. (2003) Transitivity, flexibility, conjunctive representations, and the hippocampus. II. A computational analysis. Hippocampus 13:3, pages 341-354.
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Michael Van Elzakker, Randall C. O'Reilly & Jerry W. Rudy. (2003) Transitivity, flexibility, conjunctive representations, and the hippocampus. I. An empirical analysis. Hippocampus 13:3, pages 334-340.
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Barlow C. Wright & Ann D. Dowker. (2002) The Role of Cues to Differential Absolute Size in Children's Transitive Inferences. Journal of Experimental Child Psychology 81:3, pages 249-275.
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O F Lazareva, A A Smirnova, Z A Zorina & V V Rayevsky. (2023) Hooded Crows Solve a Transitive Inference Problem Cognitively. Animal Welfare 10:S1, pages S219-S231.
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David McFarland. 2000. Prerational Intelligence: Adaptive Behavior and Intelligent Systems Without Symbols and Logic, Volume 1, Volume 2 Prerational Intelligence: Interdisciplinary Perspectives on the Behavior of Natural and Artificial Systems, Volume 3. Prerational Intelligence: Adaptive Behavior and Intelligent Systems Without Symbols and Logic, Volume 1, Volume 2 Prerational Intelligence: Interdisciplinary Perspectives on the Behavior of Natural and Artificial Systems, Volume 3 31 42 .

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