This article brings together two independent lines of research on numerally quantified expressions, e.g. two girls. One stems from work in linguistic theory and asks what truth conditional contributions such expressions make to the utterances in which they are used--in other words, what do numerals mean? The other comes from the study of language development and asks when and how children learn the meaning of such expressions. My goal is to show that when integrated, these two perspectives can both constrain (...) and enrich each other in ways hitherto not considered. Specifically, work in linguistic theory suggests that in addition to their 'exactly n' interpretation, numerally quantified NPs such as two hoops can also receive an 'at least n' and an 'at most n' interpretation, e.g. you need to put two hoops on the pole to win (i.e. at least two hoops) and you can miss two shots and still win (i.e. at most two shots). I demonstrate here through the results of three sets of experiments that by the age of 5 children have implicit knowledge of the fact that expressions like two N can be interpreted as 'at least two N' and 'at most two N' while they do not yet know the meaning of corresponding expressions such as at least/most two N which convey these senses explicitly. I show that these results have important implications for theories of the semantics of numerals and that they raise new questions for developmental accounts of the number vocabulary. (shrink)

We evaluate the literature on the memorability of supernatural concepts, itself part of a growing body of work in the emerging cognitive science of religion. Specifically, we focus on Boyer’s Minimally Counterintuitive hypothesis according to which supernatural concepts tap a cognitively privileged memory-enhancing mechanism linked to violations of default intuitive inferences. Our assessment reveals that the literature on the MCI hypothesis is mired in empirical contradictions and methodological shortcomings which makes it difficult to assess the validity of competing theoretical models, (...) including the MCI hypothesis itself. In light of this fractured picture, we make the case for an account of the MCI effect which dispenses with a memory mechanism specific to supernatural concepts. This account has several desirable properties. First, it preserves Boyer’s pioneering insights regarding the ontological status of supernatural concepts and the cognitive mechanisms that give rise to their cultural prevalence. Second, our account is based on independently-motivated mechanisms that are well-established in the literature. Third, this account offers a principled resolution of the tension in the extant literature between studies that do replicate the MCI effect and those that seemingly fail to do so. Finally, because the proposed mechanisms are not specific to supernatural concepts, the scope of the MCI effect may be extended to account for a broader range of highly transmissible concepts than those it was originally intended to explain. We conclude with a set of theoretical and methodological prescriptions designed to guide future research on the memorability of supernatural concepts. (shrink)

Recent work on the acquisition of number words has emphasized the importance of integrating linguistic and developmental perspectives [Musolino, J. (2004). The semantics and acquisition of number words: Integrating linguistic and developmental perspectives. Cognition93, 1-41; Papafragou, A., Musolino, J. (2003). Scalar implicatures: Scalar implicatures: Experiments at the semantics-pragmatics interface. Cognition, 86, 253-282; Hurewitz, F., Papafragou, A., Gleitman, L., Gelman, R. (2006). Asymmetries in the acquisition of numbers and quantifiers. Language Learning and Development, 2, 76-97; Huang, Y. T., Snedeker, J., Spelke, (...) L. (submitted for publication). What exactly do numbers mean?]. Specifically, these studies have shown that data from experimental investigations of child language can be used to illuminate core theoretical issues in the semantic and pragmatic analysis of number terms. In this article, I extend this approach to the logico-syntactic properties of number words, focusing on the way numerals interact with each other (e.g. Three boys are holding two balloons) as well as with other quantified expressions (e.g. Three boys are holding each balloon). On the basis of their intuitions, linguists have claimed that such sentences give rise to at least four different interpretations, reflecting the complexity of the linguistic structure and syntactic operations involved. Using psycholinguistic experimentation with preschoolers (n=32) and adult speakers of English (n=32), I show that (a) for adults, the intuitions of linguists can be verified experimentally, (b) by the age of 5, children have knowledge of the core aspects of the logical syntax of number words, (c) in spite of this knowledge, children nevertheless differ from adults in systematic ways, (d) the differences observed between children and adults can be accounted for on the basis of an independently motivated, linguistically-based processing model [Geurts, B. (2003). Quantifying kids. Language Acquisition, 11(4), 197-218]. In doing so, this work ties together research on the acquisition of the number vocabulary with a growing body of work on the development of quantification and sentence processing abilities in young children [Geurts, 2003; Lidz, J., Musolino, J. (2002). Children's command of quantification. Cognition, 84, 113-154; Musolino, J., Lidz, J. (2003). The scope of isomorphism: Turning adults into children. Language Acquisition, 11(4), 277-291; Trueswell, J., Sekerina, I., Hilland, N., Logrip, M. (1999). The kindergarten-path effect: Studying on-line sentence processing in young children. Cognition, 73, 89-134; Noveck, I. (2001). When children are more logical than adults: Experimental investigations of scalar implicature. Cognition, 78, 165-188; Noveck, I., Guelminger, R., Georgieff, N., & Labruyere, N. (2007). What autism can tell us about every. . . not sentences. Journal of Semantics,24(1), 73-90. On a more general level, this work confirms the importance of integrating formal and developmental perspectives [Musolino, 2004], this time by highlighting the explanatory power of linguistically-based models of language acquisition and by showing that the complex structure postulated by linguists has important implications for developmental accounts of the number vocabulary. (shrink)

This chapter explores parsing and grammar in children, with an emphasis on how children resolve sentences with ambiguous scope. It focuses on an ambiguity involving the universal quantifier every in subject position along with a negated main predicate, as in the sentence “Every horse didn’t jump over the fence.” One interpretation of this sentence is the “surface-scope” interpretation, which views the expression every horse as a reference to all the horses in the set; thus, each horse in the set did (...) not jump over the fence. Another interpretation is the “inverse-scope” interpretation, whereby some horses jumped over the fence while others did not. The chapter presents evidence suggesting that children tend to prefer the surface-scope interpretation and cannot obtain the inverse-scope interpretation. In other words, children systematically use the surface position of the relevant quantificational elements to determine scope relations. The chapter also discusses negation and quantified noun phrases, along with isomorphism. Finally, it discusses the implications of these findings for language development and sentence processing. (shrink)

The minimally counterintuitive (MCI) thesis in the cognitive science of religion proposes that supernatural concepts are prevalent across cultures because they possess a common structure—namely, violations of intuitive ontological assumptions that facilitate concept representation. These violations are hypothesized to give supernatural concepts a memorability advantage over both intuitive concepts and “maximally counterintuitive” (MXCI) concepts, which contain numerous ontological violations. However, the connection between MCI concepts and bizarre (BIZ) but not supernatural concepts, for which memorability advantages are predicted by the von (...) Restorff (VR) effect, has been insufficiently clarified by earlier research. Additionally, the role of inferential potential (IP) in determining MCI concepts’ memorability has remained vague and only rarely controlled for. In a pre‐registered experiment, we directly compare memorability for MCI and MXCI concepts, compared to BIZ concepts, while controlling for IP as well as degree of bizarreness. Results indicate that when IP and bizarreness are controlled for, memorability of counterintuitive and BIZ concepts—relative to intuitive control concepts—is similar across concepts with one, two, and three characteristics. Findings suggest that the MCI and VR effects may be manifestations of the same underlying mechanisms. (shrink)