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  1. Cognitive Foundations of Arithmetic: Evolution and Ontogenisis.Susan Carey - 2002 - Mind and Language 16 (1):37-55.
    Dehaene (this volume) articulates a naturalistic approach to the cognitive foundations of mathematics. Further, he argues that the ‘number line’ (analog magnitude) system of representation is the evolutionary and ontogenetic foundation of numerical concepts. Here I endorse Dehaene’s naturalistic stance and also his characterization of analog magnitude number representations. Although analog magnitude representations are part of the evolutionary foundations of numerical concepts, I argue that they are unlikely to be part of the ontogenetic foundations of the capacity to represent natural (...)
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  • Number as a cognitive technology: Evidence from Pirahã language and cognition.Michael C. Frank, Daniel L. Everett, Evelina Fedorenko & Edward Gibson - 2008 - Cognition 108 (3):819-824.
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  • Do children learn the integers by induction?Lance J. Rips, Jennifer Asmuth & Amber Bloomfield - 2008 - Cognition 106 (2):940-951.
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  • Children's understanding of counting.Karen Wynn - 1990 - Cognition 36 (2):155-193.
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  • The origin of concepts.Susan Carey - 2009 - New York: Oxford University Press.
    Only human beings have a rich conceptual repertoire with concepts like tort, entropy, Abelian group, mannerism, icon and deconstruction. How have humans constructed these concepts? And once they have been constructed by adults, how do children acquire them? While primarily focusing on the second question, in The Origin of Concepts , Susan Carey shows that the answers to both overlap substantially. Carey begins by characterizing the innate starting point for conceptual development, namely systems of core cognition. Representations of core cognition (...)
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  • Theoretical implications of the study of numbers and numerals in mundurucu.Pierre Pica & Alain Lecomte - 2008 - Philosophical Psychology 21 (4):507 – 522.
    Developing earlier studies of the system of numbers in Mundurucu, this paper argues that the Mundurucu numeral system is far more complex than usually assumed. The Mundurucu numeral system provides indirect but insightful arguments for a modular approach to numbers and numerals. It is argued that distinct components must be distinguished, such as a system of representation of numbers in the format of internal magnitudes, a system of representation for individuals and sets, and one-to-one correspondences between the numerosity expressed by (...)
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  • How counting represents number: What children must learn and when they learn it.Barbara W. Sarnecka & Susan Carey - 2008 - Cognition 108 (3):662-674.
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  • From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  • The construction of large number representations in adults.Elizabeth Spelke & Hilary Barth - 2003 - Cognition 86 (3):201-221.
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  • The generative basis of natural number concepts.Alan M. Leslie, Rochel Gelman & C. R. Gallistel - 2008 - Trends in Cognitive Sciences 12 (6):213-218.
    Number concepts must support arithmetic inference. Using this principle, it can be argued that the integer concept of exactly ONE is a necessary part of the psychological foundations of number, as is the notion of the exact equality - that is, perfect substitutability. The inability to support reasoning involving exact equality is a shortcoming in current theories about the development of numerical reasoning. A simple innate basis for the natural number concepts can be proposed that embodies the arithmetic principle, supports (...)
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  • Core systems of number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
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  • Preverbal and verbal counting and computation.C. R. Gallistel & Rochel Gelman - 1992 - Cognition 44 (1-2):43-74.
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  • (1 other version)Lack of referential vocal learning from LCD video by grey parrots.Irene M. Pepperberg & Steven R. Wilkes - 2004 - Interaction Studiesinteraction Studies Social Behaviour and Communication in Biological and Artificial Systems 5 (1):75-97.
    Grey parrots do not acquire referential English labels when tutored with videotapes displayed on CRT screens if socially isolated, reward for attempted labels is possible, trainers direct birds’ attention to the monitor, live video feed avoids habituation or one trainer repeats labels produced on video and rewards label attempts. Because birds learned referential labels from live tutor pairs in concurrent sessions, we concluded that video failed because input lacked live social interaction and modeling. Recent studies, however, suggest that standard CRT (...)
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  • (1 other version)Lack of referential vocal learning from LCD video by grey parrots (Psittacus erithacus).Irene M. Pepperberg & Steven R. Wilkes - 2004 - Interaction Studies. Social Behaviour and Communication in Biological and Artificial Systemsinteraction Studies / Social Behaviour and Communication in Biological and Artificial Systemsinteraction Studies 5 (1):75-97.
    Grey parrots do not acquire referential English labels when tutored with videotapes displayed on CRT screens if socially isolated, reward for attempted labels is possible, trainers direct birds’ attention to the monitor, live video feed avoids habituation or one trainer repeats labels produced on video and rewards label attempts. Because birds learned referential labels from live tutor pairs in concurrent sessions, we concluded that video failed because input lacked live social interaction and modeling. Recent studies, however, suggest that standard CRT (...)
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