Quantifiers and Working Memory

  • Jakub Szymanik
  • Marcin Zajenkowski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6042)

Abstract

The paper presents a study examining the role of working memory in quantifier verification. We created situations similar to the span task to compare numerical quantifiers of low and high rank, parity quantifiers and proportional quantifiers. The results enrich and support the data obtained previously in [1,2,3] and predictions drawn from a computational model [4,5].

Keywords

working memory generalized quantifiers computational semantics span test 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    McMillan, C., Clark, R., Moore, P., Devita, C., Grossman, M.: Neural basis for generalized quantifiers comprehension. Neuropsychologia 43, 1729–1737 (2005)CrossRefGoogle Scholar
  2. 2.
    Troiani, V., Peelle, J., Clark, R., Grossman, M.: Is it logical to count on quantifiers? Dissociable neural networks underlying numerical and logical quantifiers. Neuropsychologia 47, 104–111 (2009)CrossRefGoogle Scholar
  3. 3.
    Szymanik, J., Zajenkowski, M.: Comprehension of simple quantifiers. Empirical evaluation of a computational model. Cognitive Science 34, 521–532 (2010)Google Scholar
  4. 4.
    van Benthem, J.: Essays in logical semantics. Reidel, Dordrechtz (1986)MATHGoogle Scholar
  5. 5.
    Szymanik, J.: A comment on a neuroimaging study of natural language quantifier comprehension. Neuropsychologia 45, 2158–2160 (2007)CrossRefGoogle Scholar
  6. 6.
    Baddeley, A.: Working memory and language: an overview. Journal of Communication Disorders 36, 189–208 (2003)CrossRefGoogle Scholar
  7. 7.
    Baddeley, A., Hitch, G.: Working memory. In: Bower, G. (ed.) The psychology of learning and motivation, pp. 47–90. Academic Press, New York (1974)Google Scholar
  8. 8.
    Baddeley, A.: Working memory. Oxford University Press, Oxford (1986)Google Scholar
  9. 9.
    Conway, A., Engle, R.: Individual differences in working memory capacity - more evidence for a general capacity theory. Memory 6, 122–125 (1996)Google Scholar
  10. 10.
    Daneman, M., Green, I.: Individual differences in comprehending and producing words in context. Journal of Memory and Language 25, 1–18 (1986)CrossRefGoogle Scholar
  11. 11.
    Just, M., Carpenter, P.: A capacity theory of comprehension: Individual differences in working memory. Psychological Review 99, 122–149 (1992)CrossRefGoogle Scholar
  12. 12.
    King, J., Just, M.: Individual differences in syntactic processing: The role of working memory. Journal of Memory and Language 30, 580–602 (1991)CrossRefGoogle Scholar
  13. 13.
    Daneman, M., Merikle, P.: Working memory and language comprehension: A meta-analysis. Psychonomic Bulletin and Review 3, 422–433 (1996)Google Scholar
  14. 14.
    Duff, S., Logie, R.: Processing and storage in working memory span. The Quarterly Journal of Experimental Psychology 54, 31–48 (2001)CrossRefGoogle Scholar
  15. 15.
    Daneman, M., Carpenter, P.: Individual differences in working memory and reading. Journal of Verbal Learning and Verbal Behavior 19, 450–466 (1980)CrossRefGoogle Scholar
  16. 16.
    Troiani, V., Peelle, J., Clark, R., Grossman, M.: Magnitude and parity as complementary attributes of quantifier statements. Neuropsychologia 47, 2684–2685 (2009)CrossRefGoogle Scholar
  17. 17.
    Szymanik, J., Zajenkowski, M.: Improving methodology of quantifier comprehension experiments. Neuropsychologia 47, 2682–2683 (2009)CrossRefGoogle Scholar
  18. 18.
    Pietroski, P., Lidz, J., Hunter, T., Halberda, J.: The meaning of ’most’: semantics, numerosity, and psychology. Mind and Language 24(5), 554–585 (2009)CrossRefGoogle Scholar
  19. 19.
    Dehaene, S.: The Number Sense: How the Mind Creates Mathematics. Oxford University Press, USA (1999)MATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Jakub Szymanik
    • 1
  • Marcin Zajenkowski
    • 2
  1. 1.Department of PhilosophyStockholm University 
  2. 2.Faculty of PsychologyUniversity of Warsaw 

Personalised recommendations