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Bootstrapping & the origin of concepts

Bibliographic Data

ID9684868
AuthorsSusan Carey (0000-0001-7913-2687, American Academy of Arts and Sciences, corresponding author)
Year2004
Volume133
Issue1
Pages59-68
Publication date2004-01-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueDaedalus (JOURNAL)
Journal identifiersISSN: 0011-5266 • E-ISSN: 1548-6192
PublisherMIT Press - Journals (PUBLISHER)
DOI10.1162/001152604772746701
OpenAlexW2145115330
LanguageEN
Citations received68
References cited4

beings create scienti1⁄2c theories, mathematics, literature, moral systems, and complex technology. And only humans have the capacity to acquire such culturally constructed knowledge in the normal course of immersion in the adult world. There are many reasons for the differences between the minds of humans and other animals. We have bigger brains, and hence more powerful information processors; sometimes differences in the power of a processor can create what look like qualitative differences in kind. And of course human beings also have language–the main medium for the cultural transmission of acquired knowledge. Comparative studies of humans and other primates suggest that we differ from them as well in our substantive cognitive abilities– for example, our capacity for causal analysis and our capacity to reason about the mental states of others. Each of these factors doubtless contributes to our prodigious ability to learn. But in my view another factor is even more important: our uniquely human ability to ‘bootstrap.’ Many psychologists, historians, and philosophers of science have appealed to the metaphor of bootstrapping in order to explain learning of a particularly dif1⁄2cult sort– those cases in which the endpoint of the process transcends in some qualitative way the starting point. The choice of metaphor may seem puzzling–it is selfevidently impossible to pull oneself up by one’s own bootstrap. After all, the process I describe below is not impossible, but I keep the term because of its historical credentials and because it seeks to explain cases of learning that many have argued are impossible. Sometimes learning requires the creation of new representational resources that are more powerful than those present at the outset. Early in the cultural history of mathematics, for instance, the concept of the number included only positive integers: with subsequent development the concept came to encompass zero, rational numbers (fractions), negative numbers, irrational numbers like pi, and so on

Bootstrapping (finance · Cognition · Cognitive psychology · Cognitive science · Epistemology · Linguistics · Metaphor · Process (computing · Sociology · sort · Cognitive and developmental aspects of mathematical skills · Computer Science · Mathematics Education and Teaching Techniques · Philosophy · Psychology

  • Rhesus macaques use probabilities to predict future events

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  • Numbers and Number Sense

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    Open Access•Dušan Krnel, Darija Skubic•International Encyclopedia of the…•2015

  • Building machines that learn and think like people

    Open Access•Brenden M Lake, Tomer D Ullman et al.•Behavioral and Brain Sciences•2017

  • Individual differences in non-verbal number acuity correlate with maths achievement

    Open Access•Justin Halberda, Michèle M M Mazzocco et al.•Nature•2008

  • One, two, three, four, nothing more

    Open Access•Mathieu Le Corre, Susan Carey•Cognition•2007

  • Bootstrapping the Mind

    Open Access•Dedre Gentner•Cognitive Science•2010

  • How do symbolic and non-symbolic numerical magnitude processing skills relate to individual differences in children's mathematical skills? A review of evidence from brain and behavior

    Bert De Smedt, Marie-Pascale Noël et al.•Trends in Neuroscience and…•2013

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    Open Access•Diego Guerrero, Diego Fernando Guerrero López•Biolinguistics•2026

  • Promoting the development of the cardinality principle

    Arthur J Baroody, Veena Paliwal et al.•Mathematical Thinking and Learning•2026

  • Non-Symbolic Numerosity and Symbolic Numbers are not Processed Intuitively in Children

    Open Access•Anne H van Hoogmoed, Marije D E Huijsmans et al.•Frontiers in Education•2021

  • Introducing Mr. Three

    Open Access•Katharine A Tillman, Kaelie N Wagner et al.•Open MIND•2024

  • Overcoming the modal/amodal dichotomy of concepts

    Open Access•Christian Michel•Phenomenology and the Cognitive…•2021

  • The Relations between Cardinal Number Knowledge and Quantifier Comprehension

    Meiling Yang, Yunqi Wang•Language Learning and Development•2023

  • Word by Word

    Alexandra Mendelsohn, Catalina Suarez‐rivera et al.•Language Learning and Development•2023

  • An Object Lesson

    Alexander S LaTourrette, Sandra R Waxman•Language Learning and Development•2021

  • A number-line task with a Bayesian active learning algorithm provides insights into the development of non-symbolic number estimation

    Open Access•Sang Ho Lee, Dan Kim et al.•Psychonomic Bulletin & Review•2022

  • The role of development in the relationship between symbolic and non-symbolic numeric representations

    Open Access•Sarit Ashkenazi•Current Psychology•2024

  • Concepts and cognitive structures

    Kevan Edwards•Philosophical Psychology•2024

  • Developmental paths of the associations between visuospatial working memory and numerical processing

    Open Access•Sarit Ashkenazi, Anna Adi•Psychological Research•2026

  • Do children use language structure to discover the recursive rules of counting

    Open Access•Rose M Schneider, Jessica Sullivan et al.•Cognitive Psychology•2020

  • The knowledge of the preceding number reveals a mature understanding of the number sequence

    Open Access•Francesco Sella, Daniela Lucangeli•Cognition•2020

  • Counting and the ontogenetic origins of exact equality

    Open Access•Rose M Schneider, Erik Brockbank et al.•Cognition•2022

  • Creating ad hoc graphical representations of number

    Open Access•Sebastian Holt, Judith E Fan et al.•Cognition•2024

  • Is thirty-two three tens and two ones? The embedded structure of cardinal numbers

    Open Access•Diego Guerrero, Diego Fernando Guerrero López et al.•Cognition•2020

  • What Counts? Sources of Knowledge in Children’s Acquisition of the Successor Function

    Open Access•Rose M Schneider, Jessica Sullivan et al.•Child Development•2021

  • Features in children's counting books that lead dyads to both count and label sets during shared book reading

    Open Access•Connor D O’Rear, Isabella Seip et al.•Child Development•2023

  • Causal Effects of Parent Number Talk on Preschoolers’ Number Knowledge

    Open Access•Dominic J Gibson, Elizabeth A Gunderson et al.•Child Development•2020

  • Children’s Knowledge of Symbolic Number in Grades 1 and 2

    Open Access•Chang Xu, Johan A Lefevre•Child Development•2021

  • Making Sense of Number Words and Arabic Digits

    Open Access•Francesco Sella, Daniela Lucangeli et al.•Child Development•2020

  • Metaphors in Happy and Unhappy Life Stories of Russian Adults

    А А Бочавер, Aleksandra Bochaver et al.•Metaphor and Symbol•2010

  • Language, procedures, and the non-perceptual origin of number word meanings

    Open Access•David Barner•Journal of Child Language•2017

  • Mind Design and Minimal Syntax

    Wolfram Hinzen•MIND DESIGN AND MINIMAL SYNTAX.•2006

  • Two core systems of numerical representation in infants

    Yi Mou, Kristy vanMarle•Developmental Review•2014

  • Sex, mathematics, and the brain

    Open Access•David C Geary•Developmental Review•2022

  • Arithmetic thinking as the basis of children's generative number concepts

    Open Access•Diego Guerrero, Diego Fernando Guerrero López et al.•Developmental Review•2023

  • Varieties of Number-Line Estimation

    Open Access•Jike Qin, Dan Kim et al.•Developmental Review•2024

  • Regime-Switching Bivariate Dual Change Score Model

    Sy‐miin Chow, Sy-Miin Chow et al.•Multivariate Behavioral Research•2013

  • The Effect of Heterogeneity on Numerical Ordering in Rhesus Monkeys

    Open Access•Jessica F Cantlon, Elizabeth M Brannon•Infancy•2006

  • El Lugar de la Psicología en la Epistemología de Kuhn

    Open Access•Juan Brunetti, Elizabeth Beatriz Ormart•Cinta de moebio•2010

  • Limitations on simultaneity in sign language

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    Open Access•Richard A Duschl, Richard Duschl•Review of Research in Education•2008

  • Early access to language supports number mapping skills in deaf children

    Open Access•Kristin Walker, Emily Carrigan et al.•The Journal of Deaf Studies and…•2023

  • Reading comprehension and mental subtraction in deaf and hard of hearing children

    Open Access•Lilan Chen•The Journal of Deaf Studies and…•2026

  • Low and high control working memory and counting skills in children

    Open Access•Diego Guerrero, Diego Fernando Guerrero López et al.•Cognitive Development•2026

  • LLMs as models for analogical reasoning

    Open Access•Sam Musker, Alex Duchnowski et al.•Journal of Memory and Language•2025

  • The cognitive profiles of Jordanian students at risk for math disability

    Bashir Abu‐Hamour, Bashir Abu-Hamour•International Journal of…•2017

  • Examining language and early numeracy skills in young Latino dual language learners

    Open Access•Lucía I Méndez, Carol Scheffner Hammer et al.•Early Childhood Research Quarterly•2018

  • Are content and structural features of counting books aligned with research on numeracy development

    Open Access•Jenna M Ward, Michèle M M Mazzocco et al.•Early Childhood Research Quarterly•2016

  • How approximate and exact number skills are related to each other across development

    Open Access•Christophe Mussolin, Julie Nys et al.•Developmental Review•2015

  • Number identification

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  • Conceptual and epistemic bootstrapping of hinge commitments

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  • Bootstrapping of integer concepts

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  • Children's acquisition of the number words and the counting system

    Open Access•Karen Wynn•Cognitive Psychology•1992

  • Psychological Universals

    Ara Norenzayan, Steven J Heine•Psychological Bulletin•2005

Unique citing works68
Citations per year3,24
Citation span2005 - 2026 (22)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 67
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