This paper presents experimental evidence on the differences in a sentence–picture verification task under additional memory load between parity and proportional quantifiers. We asked subjects to memorize strings of four or six digits, then to decide whether a quantified sentence was true for a given picture, and finally to recall the initially given string of numbers. The results show that: (a) proportional quantifiers are more difficult than parity quantifiers with respect to reaction time and accuracy; (b) maintaining either four or six elements in working memory has the same effect on the processing of parity quantifiers; (c) however, in the case of proportional quantifiers subjects perform better in the verification tasks under the six-digit load condition, and (d) even though the strings of four numbers were better recalled by subjects after judging parity there is no difference between quantifiers in the case of the six-element condition. We briefly outline two alternative explanations for the observed phenomena rooted in the computational model of quantifier verification and the different theories of working memory.
2017. Jakub Szymanik, Quantifiers and Cognition. Logical and Computational Perspectives. Springer, 2016. Pp. xii+211. ISBN: 978-3-319-28749-2 (hardcover) EUR 106,99; eBook EUR 83,29. Studia Logica 105:5 ► pp. 1015 ff.
Bott, Oliver, Fabian Schlotterbeck & Udo Klein
2019. Empty-Set Effects in Quantifier Interpretation. Journal of Semantics 36:1 ► pp. 99 ff.
Bremnes, Heming Strømholt, Jakub Szymanik & Giosuè Baggio
2022. Computational complexity explains neural differences in quantifier verification. Cognition 223 ► pp. 105013 ff.
Bremnes, Heming Strømholt, Jakub Szymanik & Giosuè Baggio
2023. The interplay of computational complexity and memory load during quantifier verification. Language, Cognition and Neuroscience► pp. 1 ff.
Isaac, Alistair M. C., Jakub Szymanik & Rineke Verbrugge
2014. Logic and Complexity in Cognitive Science. In Johan van Benthem on Logic and Information Dynamics [Outstanding Contributions to Logic, 5], ► pp. 787 ff.
Schlotterbeck, Fabian & Oliver Bott
2013. Easy Solutions for a Hard Problem? The Computational Complexity of Reciprocals with Quantificational Antecedents. Journal of Logic, Language and Information 22:4 ► pp. 363 ff.
Steinert-Threlkeld, Shane & Thomas F. Icard
2013. Iterating semantic automata. Linguistics and Philosophy 36:2 ► pp. 151 ff.
Szymanik, Jakub
2016. Cognitive Processing of Quantifiers. In Quantifiers and Cognition: Logical and Computational Perspectives [Studies in Linguistics and Philosophy, 96], ► pp. 51 ff.
Zajenkowski, Marcin
2013. Energetic Arousal and Language. Human Factors: The Journal of the Human Factors and Ergonomics Society 55:5 ► pp. 924 ff.
Zajenkowski, Marcin & Jakub Szymanik
2013. MOST intelligent people are accurate and SOME fast people are intelligent.. Intelligence 41:5 ► pp. 456 ff.
Zajenkowski, Marcin, Jakub Szymanik & Maria Garraffa
2014. Working Memory Mechanism in Proportional Quantifier Verification. Journal of Psycholinguistic Research 43:6 ► pp. 839 ff.
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