Number Word Acquisition: Cardinality, Bootstrapping, and Beyond: Reply to Commentaries

Language Learning and Development

Volumn 8, Issue 2, 2012, Pages 190-195

  Syrett, Kristen ^a   Musolino, Julien ^a   Gelman, Rochel ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859626104     PISSN: 15475441     EISSN: 15473341     Source Type: Journal    
DOI: 10.1080/15475441.2012.635545     Document Type: Article

References (54)

1. Barner, D. and Bachrach, A. 2010. Inference and exact numerical representation in early language development. Cognitive Psychology, 60: 40-62.
2. Bloom, P. and Wynn, K. 1997. Linguistic cues in the acquisition of number words. Journal of Child Language, 24: 511-533.
3. Breheny, R. 2008. A new look at the semantics and pragmatics of numerically quantified noun phrases. Journal of Semantics, 25: 93-139.
4. Butterworth, R. 1999. The mathematical brain, London, England: MacMillan.
5. Carey, S. 2009a. The origin of concepts, Oxford, England: Oxford University Press.
6. Carey, S. 2009b. Where our number concepts come from. Journal of Philosophy, 106: 220-254.
7. Carey, S. and Bartlett, E. 1978. Acquiring a single new word. Papers and reports on Child Language Development, 15: 17-29.
8. Carston, R. 1985. A reanalysis of some "quantity implicatures.", Unpublished manuscript, University College London.
9. Carston, R. 1998. "Informativeness, relevance, and scalar implicature". In Relevance theory: Applications and implications, Edited by: Carston, R. and Uchida, S. Amsterdam, The Netherlands: John Benjamins.
10. Gelman, R. 1972. Logical capacity of very young children: Number invariance rules. Child Development, 43: 75-90.
11. Gelman, R. 2006. Young natural-number arithmeticians. Current Directions in Psychological Science, 15: 193-197.
12. Gelman, R. and Gallistel, C. R. 1978. The child's understanding of number, Cambridge, MA: Harvard University Press.
13. Gelman, R. and Williams, E. 1998. "Enabling constraints for cognitive development and learning: Domain specificity and epigenesis". In Handbook of child psychology, Vol. 2: Cognition, perception, & language, 5th, Edited by: Damon, W., Kuhn, D. and Siegler, R. S. 575-630. New York, NY: Wiley.
14. Geurts, B. 2006. "Take 'five'. The meaning and use of a number word". In Non-definiteness and plurality, Edited by: Vogeleer, S. and Tasmowski, L. 311-329. Amsterdam, The Netherlands: John Benjamins.
15. Gil, D. 1982. Distributive numerals. (Unpublished doctoral dissertation), Los Angeles: University of California.
16. Gordon, P. 2004. Numerical cognition without words: Evidence from Amazonia. Science, 306: 496-499.
17. Hartnett, P. M. and Gelman, R. 1998. Early understandings of numbers: Paths or barriers to the construction of new understandings?. Learning and Instruction: The Journal of the European Association for Research in Learning and Instruction, 8(4): 341-374.
18. Heibeck, T. H. and Markman, E. M. 1987. Word learning in children: An examination of fast mapping. Child Development, 8: 1021-1034.
19. Hintikka, J. 1974. Quantifiers vs. quantification theory. Linguistic Inquiry, 5: 153-177.
20. Horn, L. 1972. On the semantic properties of the logical operators in English. (Doctoral dissertation), University of California, Los Angeles. [Distributed by IULC, Indiana University].
21. Horn, L. 1989. A natural history of negation, Chicago, IL: University of Chicago Press.
22. Horn, L. 1992. "The said and the unsaid". In Proceedings of Semantics and Linguistic Theory II, Edited by: Barker, C. and Dowty, D. 163-192. Columbus, OH: Ohio State University Working Papers in Linguistics.
23. Huang, Y. T., Snedeker, J. and Spelke, E. 2011. What exactly do numbers mean?, Manuscript submitted for publication.
24. Hurewitz, F., Papafragou, A., Gleitman, L. and Gelman, R. 2006. Asymmetries in the acquisition of numbers and quantifiers. Language Learning and Development, 2: 77-96.
25. Kenyatta, J. 1953. Facing Mount Kenya, London, England: Seckler & Warburg.
26. Koenig, J. P. Scalar predicates and negation: Punctual semantics and interval interpretations. Papers from the 27th Regional Meeting of the Chicago Linguistic Society Part 2: Parasession on negation. Chicago, IL. pp.140-155. CLS.
27. Levinson, S. 1983. Pragmatics, Cambridge, UK: Cambridge University Press.
28. Levinson, S. 2000. Presumptive meanings, Cambridge, MA: MIT Press.
29. Lidz, J. and Musolino, J. 2002. Children's command of quantification. Cognition, 84: 113-154.
30. Link, G. 1983. "The logical analysis of plural and mass terms: A lattice theoretic approach". In Meaning, use and interpretation of language, Edited by: äuerle, R. B, Schwarze, C. and von Stechow, A. 302-323. Berlin, Germany: de Gruyer.
31. Link, G. 1987. "Generalized quantifiers and plurals". In Generalized quantifiers, Edited by: ärdenfors, P. G. 151-180. Dordrecht, The Netherlands: D. Reidel.
32. Link, G. 1991. "Plurals". In Semantik: Ein internationales Handbuch der zeitgenössischen Forschung, Edited by: von Stechow, A. and Wunderlich, D. 418-440. Berlin, Germany: De Gruyter.
33. May, R. 1985. Logical form. Its structure and derivation, Cambridge, MA: The MIT Press.
34. Musolino, J. 2004. The semantics and acquisition of number words: Integrating linguistic and developmental perspectives. Cognition, 93: 1-41.
35. Musolino, J. 2009. The logical syntax of number words: Theory, acquisition and processing. Cognition, 111: 24-45.
36. Musolino, J. November 5-7 2010. The logical syntax of number words: Theory and acquisition. Symposium, BUCLD 35 November 5-7, Boston, MA
37. Musolino, J. and Gualmini, A. 2004. The role of partitivity in child language. Language Acquisition, 12: 97-107.
38. Papafragou, A. and Musolino, J. 2003. Scalar implicatures: Experiments at the semantics-pragmatics interface. Cognition, 86: 253-282.
39. Pica, P., Lemer, C., Izard, V. and Dehaene, S. 2004. Exact and approximate arithmetic in an Amazonian indigene group. Science, 306: 499-503.
40. Ramani, G. B. and Siegler, R. S. 2011. Reducing the gap in numerical knowledge between low- and middle-income preschoolers. Journal of Applied Developmental Psychology, 32: 146-159.
41. Sadock, J. 1984. "Whither radical pragmatics?". In Meaning, form, and use in context: Linguistic applications, Edited by: Schiffrin, D. 139-149. Washington, DC: Georgetown University Press.
42. Saxe, G. B. 1981. Body parts as numerals: A developmental analysis of numeration among the Oksapmin in Papua New Guinea. Child Development, 52: 306-316.
43. Scha, R. 1981. "Distributive, collective and cumulative quantification". In Formal methods in the study of language, Edited by: Groenendijk, J., Janssen, T. and Stokhof, M. 483-512. Amsterdam, The Netherlands: Mathematisch Centrum.
44. Scha, R. 1991. "Afterthoughts on collections". In Quantification and anaphora II, Edited by: Van der Does, J. 53-58. Edinburgh, Scotland: University of Edinburgh.
45. Schwertel, U. 2005. Plural semantics for natural language understanding: A computational proof-theoretic approach. (Unpublished doctoral dissertation), Switzerland: University of Zurich.
46. Siegler, R. S. and Ramani, G. B. 2008. Playing linear numerical board games promotes low-income children's numerical development. Developmental Science, 11: 655-661.
47. Siegler, R. S. and Ramani, G. B. 2009. Playing linear number board games-but not circular ones-improves low-income preschoolers' numerical understanding. Journal of Educational Psychology, 101: 545-560.
48. Spelke, E. S. and Tsivkin, S. 2001. "Initial knowledge and conceptual change: Space and number". In Language acquisition and conceptual development, Edited by: Bowerman, M. and Levinson, S. Cambridge, England: Cambridge University Press.
49. Syrett, K. The representation and processing of measure phrases by four-year-olds. Proceedings of the 34th Annual Boston University Conference on Language Development. Somerville, MA. Edited by: Franich, K., Iserman, K. and Keil, L. pp.421-432. Cascadilla Press.
50. Syrett, K. and Musolino, J. Children's collective and distributive interpretations of pluralities with number. Paper presented at the 35th Annual Boston University Conference on Language Development. Boston, MA. November.
51. Syrett, K. and Musolino, J. When the whole is not greater than the sum of its parts: Collectivity, distributivity, and number in language development. Paper presented at Generative Approaches to Language Acquisition - North America 4. Toronto, Canada. September.
52. Syrett, K. and Musolino, J. 2011. Collectivity, distributivity, and the interpretation of numerical expressions in child and adult language: Submitted for publication.
53. Syrett, K. and Schwarzschild, R. The representation and processing of measure phrases by four-year-olds. Paper presented at 34th Annual Boston University Conference on Language Development. Boston, MA.
54. Zaslavky, C. 1973. Africa counts: Number and pattern in African culture, Boston, MA: Prindle, Weber & Schmidt. Rev. ed., 1989. Brooklyn, NY: Lawrence Hill Books