메뉴 건너뛰기




Volumn 123, Issue 2, 2012, Pages 199-217

Bootstrapping in a language of thought: A formal model of numerical concept learning

Author keywords

Bayesian model; Bootstrapping; Cognitive development; CP transition; Language of thought; Number word learning

Indexed keywords

ARTICLE; BOOTSTRAPPING; COGNITION; COGNITIVE DEVELOPMENT; HUMAN; HYPOTHESIS; LEARNING; MATHEMATICAL MODEL; MODEL; NUMERICAL CONCEPT LEARNING; PRIORITY JOURNAL; THEORY;

EID: 84858615535     PISSN: 00100277     EISSN: 18737838     Source Type: Journal    
DOI: 10.1016/j.cognition.2011.11.005     Document Type: Article
Times cited : (163)

References (67)
  • 1
    • 70449687863 scopus 로고    scopus 로고
    • Inference and exact numerical representation in early language development
    • Barner D., Bachrach A. Inference and exact numerical representation in early language development. Cognitive psychology 2010, 60(1):40-62.
    • (2010) Cognitive psychology , vol.60 , Issue.1 , pp. 40-62
    • Barner, D.1    Bachrach, A.2
  • 2
    • 56449121392 scopus 로고    scopus 로고
    • Finding one's meaning: A test of the relation between quantifiers and integers in language development
    • Barner D., Chow K., Yang S. Finding one's meaning: A test of the relation between quantifiers and integers in language development. Cognitive psychology 2009, 58(2):195-219.
    • (2009) Cognitive psychology , vol.58 , Issue.2 , pp. 195-219
    • Barner, D.1    Chow, K.2    Yang, S.3
  • 3
    • 34247383509 scopus 로고    scopus 로고
    • On the relation between the acquisition of singular-plural morpho-syntax and the conceptual distinction between one and more than one
    • Barner D., Thalwitz D., Wood J., Yang S., Carey S. On the relation between the acquisition of singular-plural morpho-syntax and the conceptual distinction between one and more than one. Developmental Science 2007, 10(3):365-373.
    • (2007) Developmental Science , vol.10 , Issue.3 , pp. 365-373
    • Barner, D.1    Thalwitz, D.2    Wood, J.3    Yang, S.4    Carey, S.5
  • 4
    • 24944514300 scopus 로고
    • Children's difficulties in subtraction: Some causes and questions
    • Baroody A. Children's difficulties in subtraction: Some causes and questions. Journal for Research in Mathematics Education 1984, 15(3):203-213.
    • (1984) Journal for Research in Mathematics Education , vol.15 , Issue.3 , pp. 203-213
    • Baroody, A.1
  • 5
    • 0031243705 scopus 로고    scopus 로고
    • Linguistic cues in the acquisition of number words
    • Bloom P., Wynn K. Linguistic cues in the acquisition of number words. Journal of Child Language 1997, 24(03):511-533.
    • (1997) Journal of Child Language , vol.24 , Issue.3 , pp. 511-533
    • Bloom, P.1    Wynn, K.2
  • 6
    • 0000829539 scopus 로고
    • Numerical reasoning in young children: The ordering principle
    • Bullock M., Gelman R. Numerical reasoning in young children: The ordering principle. Child Development 1977, 48(2):427-434.
    • (1977) Child Development , vol.48 , Issue.2 , pp. 427-434
    • Bullock, M.1    Gelman, R.2
  • 9
    • 0000954072 scopus 로고
    • An unsolvable problem of elementary number theory
    • Church A. An unsolvable problem of elementary number theory. American Journal of Mathematics 1936, 58(2):345-363.
    • (1936) American Journal of Mathematics , vol.58 , Issue.2 , pp. 345-363
    • Church, A.1
  • 10
    • 39449099328 scopus 로고    scopus 로고
    • The development of language and abstract concepts: The case of natural number
    • Condry K.F., Spelke E.S. The development of language and abstract concepts: The case of natural number. Journal of Experimental Psychology: General 2008, 137:22-38.
    • (2008) Journal of Experimental Psychology: General , vol.137 , pp. 22-38
    • Condry, K.F.1    Spelke, E.S.2
  • 12
    • 0026841994 scopus 로고
    • Cross-linguistic regularities in the frequency of number words* 1
    • Dehaene S., Mehler J. Cross-linguistic regularities in the frequency of number words* 1. Cognition 1992, 43(1):1-29.
    • (1992) Cognition , vol.43 , Issue.1 , pp. 1-29
    • Dehaene, S.1    Mehler, J.2
  • 14
    • 0003906715 scopus 로고
    • Harvard University Press, Cambridge, MA
    • Fodor J. The language of thought 1975, Harvard University Press, Cambridge, MA.
    • (1975) The language of thought
    • Fodor, J.1
  • 16
    • 84858617698 scopus 로고    scopus 로고
    • A Bayesian framework for cross-situational word-learning.
    • Advances in Neural Information Processing Systems, 20.
    • Frank, M., Goodman, N.D., & Tenenbaum, J.B. (2007). A Bayesian framework for cross-situational word-learning. Advances in Neural Information Processing Systems, 20.
    • (2007)
    • Frank, M.1    Goodman, N.D.2    Tenenbaum, J.B.3
  • 17
    • 51249105329 scopus 로고    scopus 로고
    • Number as a cognitive technology: Evidence from Pirahã language and cognition
    • Frank M., Everett D., Fedorenko E., Gibson E. Number as a cognitive technology: Evidence from Pirahã language and cognition. Cognition 2008, 108(3):819-824.
    • (2008) Cognition , vol.108 , Issue.3 , pp. 819-824
    • Frank, M.1    Everett, D.2    Fedorenko, E.3    Gibson, E.4
  • 20
    • 34548445962 scopus 로고    scopus 로고
    • Commentary on Le Corre & Carey
    • Gallistel C. Commentary on Le Corre & Carey. Cognition 2007, 105:439-445.
    • (2007) Cognition , vol.105 , pp. 439-445
    • Gallistel, C.1
  • 21
    • 0026902355 scopus 로고
    • Preverbal and verbal counting and computation
    • Gallistel C., Gelman R. Preverbal and verbal counting and computation. Cognition 1992, 44:43-74.
    • (1992) Cognition , vol.44 , pp. 43-74
    • Gallistel, C.1    Gelman, R.2
  • 23
    • 84858615753 scopus 로고
    • Early principles aid initial but not later conceptions of number.
    • Gelman, R., & Meck, B. (1992). Early principles aid initial but not later conceptions of number.
    • (1992)
    • Gelman, R.1    Meck, B.2
  • 26
    • 77955280970 scopus 로고    scopus 로고
    • Learning a theory of causality
    • In Proceedings of the 31st annual conference of the cognitive science society
    • Goodman, N., Ullman, T., & Tenenbaum, J. (2009). Learning a theory of causality. In Proceedings of the 31st annual conference of the cognitive science society (pp. 2188-2193).
    • (2009) , pp. 2188-2193
    • Goodman, N.1    Ullman, T.2    Tenenbaum, J.3
  • 28
    • 5644233702 scopus 로고    scopus 로고
    • Numerical cognition without words: Evidence from Amazonia
    • Gordon P. Numerical cognition without words: Evidence from Amazonia. Science 2004, 306(5695):496.
    • (2004) Science , vol.306 , Issue.5695 , pp. 496
    • Gordon, P.1
  • 29
    • 0010852991 scopus 로고
    • The development of mathematical insight: From one, two, three to infinity.
    • Ph.D. thesis, University of Pennsylvania.
    • Hartnett, P. (1991). The development of mathematical insight: From one, two, three to infinity. Ph.D. thesis, University of Pennsylvania.
    • (1991)
    • Hartnett, P.1
  • 30
    • 0000527765 scopus 로고    scopus 로고
    • Early understandings of numbers: Paths or barriers to the construction of new understandings?
    • Hartnett P., Gelman R. Early understandings of numbers: Paths or barriers to the construction of new understandings?. Learning and instruction 1998, 8(4):341-374.
    • (1998) Learning and instruction , vol.8 , Issue.4 , pp. 341-374
    • Hartnett, P.1    Gelman, R.2
  • 31
    • 0037159541 scopus 로고    scopus 로고
    • The faculty of language: What is it, who has it, and how did it evolve?
    • Hauser M.D., Chomsky N., Fitch W.T. The faculty of language: What is it, who has it, and how did it evolve?. Science 2002, 298:1569-1579.
    • (2002) Science , vol.298 , pp. 1569-1579
    • Hauser, M.D.1    Chomsky, N.2    Fitch, W.T.3
  • 32
    • 0023391204 scopus 로고
    • Word learning in children: An examination of fast mapping
    • Heibeck T., Markman E. Word learning in children: An examination of fast mapping. Child Development 1987, 58(4):1021-1034.
    • (1987) Child Development , vol.58 , Issue.4 , pp. 1021-1034
    • Heibeck, T.1    Markman, E.2
  • 35
    • 39449135510 scopus 로고    scopus 로고
    • What exactly do numbers mean.
    • In Proceedings of the 26th Annual Conference of the Cognitive Science Society
    • Huang, Y., Snedeker, J., & Spelke, E. (2004). What exactly do numbers mean. In Proceedings of the 26th Annual Conference of the Cognitive Science Society (p. 1570).
    • (2004) , pp. 1570
    • Huang, Y.1    Snedeker, J.2    Spelke, E.3
  • 36
    • 84858623649 scopus 로고    scopus 로고
    • Modeling semantic cognition as logical dimensionality reduction.
    • In Proceedings of Thirtieth Annual Meeting of the Cognitive Science Society.
    • Katz, Y., Goodman, N., Kersting, K., Kemp, C., & Tenenbaum, J. (2008). Modeling semantic cognition as logical dimensionality reduction. In Proceedings of Thirtieth Annual Meeting of the Cognitive Science Society.
    • (2008)
    • Katz, Y.1    Goodman, N.2    Kersting, K.3    Kemp, C.4    Tenenbaum, J.5
  • 38
    • 0036836780 scopus 로고    scopus 로고
    • Radical concept nativism
    • Laurence S., Margolis E. Radical concept nativism. Cognition 2002, 86:25-55.
    • (2002) Cognition , vol.86 , pp. 25-55
    • Laurence, S.1    Margolis, E.2
  • 39
    • 34548447632 scopus 로고    scopus 로고
    • One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles
    • Le Corre M., Carey S. One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 2007, 105:395-438.
    • (2007) Cognition , vol.105 , pp. 395-438
    • Le Corre, M.1    Carey, S.2
  • 40
    • 77953214218 scopus 로고    scopus 로고
    • A model of knower-level behavior in number concept development
    • Lee M., Sarnecka B. A model of knower-level behavior in number concept development. Cognitive Science 2010, 34(1):51-67.
    • (2010) Cognitive Science , vol.34 , Issue.1 , pp. 51-67
    • Lee, M.1    Sarnecka, B.2
  • 41
    • 79959797793 scopus 로고    scopus 로고
    • Number-knower levels in young children: Insights from Bayesian modeling
    • Lee M., Sarnecka B. Number-knower levels in young children: Insights from Bayesian modeling. Cognition 2010, 120(3):391-402.
    • (2010) Cognition , vol.120 , Issue.3 , pp. 391-402
    • Lee, M.1    Sarnecka, B.2
  • 44
    • 80053391310 scopus 로고    scopus 로고
    • Learning semantic correspondences with less supervision. In Proceedings of the joint conference of the 47th annual meeting of the ACL and the 4th International joint conference on natural language processing of the AFNLP. Association for Computational Linguistics
    • Liang, P., Jordan, M.I., & Klein, D. (2009). Learning semantic correspondences with less supervision. In Proceedings of the joint conference of the 47th annual meeting of the ACL and the 4th International joint conference on natural language processing of the AFNLP. Association for Computational Linguistics (Vol. 1, pp. 91-99).
    • (2009) , vol.1 , pp. 91-99
    • Liang, P.1    Jordan, M.I.2    Klein, D.3
  • 45
    • 77956520097 scopus 로고    scopus 로고
    • Learning programs: A hierarchical bayesian approach.
    • In Proceedings of the 27th international conference on machine learning.
    • Liang, P., Jordan, M.I., & Klein, D. (2010). Learning programs: A hierarchical bayesian approach. In Proceedings of the 27th international conference on machine learning.
    • (2010)
    • Liang, P.1    Jordan, M.I.2    Klein, D.3
  • 46
    • 30044446855 scopus 로고    scopus 로고
    • Preschool children master the logic of number word meanings
    • Lipton J., Spelke E. Preschool children master the logic of number word meanings. Cognition 2006, 98(3):B57-B66.
    • (2006) Cognition , vol.98 , Issue.3
    • Lipton, J.1    Spelke, E.2
  • 48
    • 84950945692 scopus 로고
    • Model selection and accounting for model uncertainty in graphical models using Occams window
    • Madigan D., Raftery A. Model selection and accounting for model uncertainty in graphical models using Occams window. Journal of the American Statistical Association 1994, 89:1535-1546.
    • (1994) Journal of the American Statistical Association , vol.89 , pp. 1535-1546
    • Madigan, D.1    Raftery, A.2
  • 49
    • 37249012332 scopus 로고    scopus 로고
    • How to learn the natural numbers: Inductive inference and the acquisition of number concepts
    • Margolis E., Laurence S. How to learn the natural numbers: Inductive inference and the acquisition of number concepts. Cognition 2008, 106(2):924-939.
    • (2008) Cognition , vol.106 , Issue.2 , pp. 924-939
    • Margolis, E.1    Laurence, S.2
  • 51
    • 0037212541 scopus 로고    scopus 로고
    • Scalar implicatures: Experiments at the semantics-pragmatics interface
    • Papafragou A., Musolino J. Scalar implicatures: Experiments at the semantics-pragmatics interface. Cognition 2003, 86(3):253-282.
    • (2003) Cognition , vol.86 , Issue.3 , pp. 253-282
    • Papafragou, A.1    Musolino, J.2
  • 52
    • 84858615752 scopus 로고    scopus 로고
    • A Bayesian model of the acquisition of compositional semantics.
    • In Proceedings of the Thirtieth Annual Conference of the Cognitive Science Society.
    • Piantadosi, S., Goodman, N., Ellis, B., & Tenenbaum, J. (2008). A Bayesian model of the acquisition of compositional semantics. In Proceedings of the Thirtieth Annual Conference of the Cognitive Science Society.
    • (2008)
    • Piantadosi, S.1    Goodman, N.2    Ellis, B.3    Tenenbaum, J.4
  • 53
    • 5644298608 scopus 로고    scopus 로고
    • Exact and approximate arithmetic in an Amazonian indigene group
    • Pica P., Lemer C., Izard V., Dehaene S. Exact and approximate arithmetic in an Amazonian indigene group. Science 2004, 306(5695):499.
    • (2004) Science , vol.306 , Issue.5695 , pp. 499
    • Pica, P.1    Lemer, C.2    Izard, V.3    Dehaene, S.4
  • 54
    • 33749434503 scopus 로고    scopus 로고
    • Giving the boot to the bootstrap: How not to learn the natural numbers
    • Rips L., Asmuth J., Bloomfield A. Giving the boot to the bootstrap: How not to learn the natural numbers. Cognition 2006, 101:51-60.
    • (2006) Cognition , vol.101 , pp. 51-60
    • Rips, L.1    Asmuth, J.2    Bloomfield, A.3
  • 55
    • 37249011805 scopus 로고    scopus 로고
    • Do children learn the integers by induction?
    • Rips L., Asmuth J., Bloomfield A. Do children learn the integers by induction?. Cognition 2008, 106:940-951.
    • (2008) Cognition , vol.106 , pp. 940-951
    • Rips, L.1    Asmuth, J.2    Bloomfield, A.3
  • 57
    • 51449087810 scopus 로고    scopus 로고
    • How counting represents number: What children must learn and when they learn it
    • Sarnecka B., Carey S. How counting represents number: What children must learn and when they learn it. Cognition 2008, 108(3):662-674.
    • (2008) Cognition , vol.108 , Issue.3 , pp. 662-674
    • Sarnecka, B.1    Carey, S.2
  • 58
    • 1442351119 scopus 로고    scopus 로고
    • Six does not just mean a lot: Preschoolers see number words as specific
    • Sarnecka B., Gelman S. Six does not just mean a lot: Preschoolers see number words as specific. Cognition 2004, 92(3):329-352.
    • (2004) Cognition , vol.92 , Issue.3 , pp. 329-352
    • Sarnecka, B.1    Gelman, S.2
  • 60
    • 4344613272 scopus 로고    scopus 로고
    • What makes us smart? Core knowledge and natural language
    • MIT Press, Cambridge, MA, D. Gentner, S. Goldin- Meadow (Eds.)
    • Spelke E. What makes us smart? Core knowledge and natural language. Language in Mind 2003, MIT Press, Cambridge, MA. D. Gentner, S. Goldin- Meadow (Eds.).
    • (2003) Language in Mind
    • Spelke, E.1
  • 62
    • 0008895752 scopus 로고    scopus 로고
    • A bayesian framework for concept learning.
    • Ph.D. thesis, Massachusetts Institute of Technology.
    • Tenenbaum, J. (1999). A bayesian framework for concept learning. Ph.D. thesis, Massachusetts Institute of Technology.
    • (1999)
    • Tenenbaum, J.1
  • 63
    • 84858623650 scopus 로고    scopus 로고
    • Theory Acquisition as Stochastic Search.
    • In Proceedings of thirty second annual meeting of the cognitive science society.
    • Ullman, T., Goodman, N., & Tenenbaum, J. (2010). Theory Acquisition as Stochastic Search. In Proceedings of thirty second annual meeting of the cognitive science society.
    • (2010)
    • Ullman, T.1    Goodman, N.2    Tenenbaum, J.3
  • 64
    • 0025473241 scopus 로고
    • Children's understanding of counting
    • Wynn K. Children's understanding of counting. Cognition 1990, 36:155-193.
    • (1990) Cognition , vol.36 , pp. 155-193
    • Wynn, K.1
  • 65
    • 0000094403 scopus 로고
    • Children's acquisition of the number words and the counting system
    • Wynn K. Children's acquisition of the number words and the counting system. Cognitive Psychology 1992, 24:220-251.
    • (1992) Cognitive Psychology , vol.24 , pp. 220-251
    • Wynn, K.1
  • 66
    • 36348934176 scopus 로고    scopus 로고
    • Learning to map sentences to logical form: structured classification with probabilistic categorial grammars.
    • In UAI
    • Zettlemoyer, L.S., & Collins, M. (2005). Learning to map sentences to logical form: structured classification with probabilistic categorial grammars. In UAI (pp. 658-666).
    • (2005) , pp. 658-666
    • Zettlemoyer, L.S.1    Collins, M.2
  • 67
    • 80053356596 scopus 로고    scopus 로고
    • Online Learning of Relaxed CCG Grammars for Parsing to Logical Form.
    • In EMNLP-CoNLL
    • Zettlemoyer, L.S., & Collins, M. (2007). Online Learning of Relaxed CCG Grammars for Parsing to Logical Form. In EMNLP-CoNLL (pp. 678-687).
    • (2007) , pp. 678-687
    • Zettlemoyer, L.S.1    Collins, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.