This review article explores several senses in which it can be held that the (actual, psychological) concept of an object is a formal concept, as opposed, here, to being a sortal concept. Some recent positions both from the philosophical and psychological literature are analyzed: Object-sortalism (Xu), quasi-sortalist reductive strategies (Bloom), qualified sortalism (Wiggins), demonstrative theories (Fodor), and anti-sortalism (Ayers).

Despite a vast philosophical literature on the epistemology of mathematics and much speculation about how, in principle, knowledge of this domain is possible, little attention has been paid to the psychological findings and theories concerning the acquisition, comprehension and use of mathematical knowledge. This contrasts sharply with recent philosophical work on language where comparable issues and problems arise. One topic that is the center of debate in the study of mathematical cognition is the question of innateness. This paper critically examines (...) the controversy. (shrink)

Objects and substances bear fundamentally different ontologies. In this article, we examine the relations between language, the ontological distinction with respect to individuation, and the world. Specifically, in cross‐linguistic developmental studies that follow Imai and Gentner (1997), we examine the question of whether language influences our thought in different forms, like (1) whether the language‐specific construal of entities found in a word extension context (Imai & Gentner, 1997) is also found in a nonlinguistic classification context; (2) whether the presence of (...) labels per se, independent of the count‐mass syntax, fosters ontology‐based classification; (3) in what way, if at all, the count‐mass syntax that accompanies a label changes English speakers' default construal of a given entity?On the basis of the results, we argue that the ontological distinction concerning individuation is universally shared and functions as a constraint on early learning of words. At the same time, language influences one's construal of entities cross‐lingistically and developmentally, and causes a temporary change of construal within a single language. We provide a detailed discussion of how each of these three ways language may affect the construal of entities, and discuss how our universally possessed knowledge interacts with language both within a single language and in cross‐linguistic context. (shrink)

Objects and substances bear fundamentally different ontologies. In this article, we examine the relations between language, the ontological distinction with respect to individuation, and the world. Specifically, in cross‐linguistic developmental studies that followImai and Gentner (1997), we examine the question of whether language influences our thought in different forms, like (1) whether the language‐specific construal of entities found in a word extension context (Imai & Gentner, 1997) is also found in a nonlinguistic classification context; (2) whether the presence of labelsper (...) se, independent of the count‐mass syntax, fosters ontology‐based classification; (3) in what way, if at all, the count‐mass syntax that accompanies a label changes English speakers' default construal of a given entity?On the basis of the results, we argue that the ontological distinction concerning individuation is universally shared and functions as a constraint on early learning of words. At the same time, language influences one's construal of entities cross‐lingistically and developmentally, and causes a temporary change of construal within a single language. We provide a detailed discussion of how each of these three ways language may affect the construal of entities, and discuss how our universally possessed knowledge interacts with language both within a single language and in cross‐linguistic context. (shrink)

Infants' knowledge need not have the same structure as the mature knowledge that develops from it. Fundamental to an understanding of number are concepts of equivalence and less-than and greater-than relations. These concepts, together with the concept of unit, are posited to be the starting points for the development of numerical knowledge.

Based on the existence of polysemy (e.g., lunch can refer to both food and events), it is argued that central tenets of externalist semantics and Fodorian concept atomism, an externalist theory on which words lack semantic structure, are unsound. We evaluate the premise that these arguments rely on—that polysemous words have separate, finer‐grained senses. We survey the evidence across psychology and linguistics and argue that it shows that polysemy does not exist, at least not in this “sense”. The upshot is (...) that if polysemy does not exist, it cannot pose a problem for atomism or externalism. (shrink)

Portioning-out and individuation are two important semantic properties for the characterization of countability. In Mandarin, nouns are not marked with count-mass syntax, and it is controversial whether individuation is encoded in classifiers or in nouns. In the present study, we investigates the interpretation of a minimal pair of non-interrogative wh-pronominal phrases, including duo-shao-N and duo-shao-ge-N. Due to the presence/absence of the individual classifier ge, these two wh-pronominal phrases differ in how they encode portioning-out and individuation. In two experiments, we used (...) a Truth Value Judgment Task to examine the interpretation of these two wh-pronominal phrases by Mandarin-speaking adults and 4-to-6-year-old children. We found that both adults and children are sensitive to their interpretative differences with respect to the portioning-out and individuation properties. They assign either count or mass readings to the bare wh-pronominal phrase duo-shao-N depending on specific contexts, but only count readings to the classifier-bearing wh-pronominal phrase duo-shao-ge-N. Moreover, the portioning-out and individuation properties associated with the individual classifier ge emerge independently in the course of language development, with the portioning-out property taking precedence over the individuation property. Taken together, the present study provides new evidence for the view that the portioning-out and individuation properties in Mandarin are encoded in classifiers rather than in nouns, and these two semantic properties are two distinct components in our grammar. (shrink)

Children's comprehension of the universal quantifiers all and each was explored in a series of experiments using a picture selection task. The first experiment examined children's ability to restrict a quantifier to the noun phrase it modifies. The second and third experiments examined children's ability to associate collective, distributive, and exhaustive representations with sentences containing universal quantifiers. The collective representation corresponds to the "group" meaning (for All the flowers are in a vase all of the flowers are in the same (...) vase). The distributive representation implies a pairing (e.g., each flower paired with a vase for Each flower is in a vase). The exhaustive representation exhausts both sets (e.g., for The flowers are in the vases all the flowers are in vases and all the vases have flowers in them). Four- to 10-year-olds children had little difficulty restricting the quantifier all to the noun it modified in a task which required them to attend to the group feature of all. In contrast, only 9- and 10-year-olds were able to solve the task when the quantifier was each and the pictures showed entities in partial one-to-one correspondence. Children showed a preference for associating collective pictures with sentences containing all and distributive pictures with sentences containing each. The results suggest that between the ages of 5 and 10 years, children's semantic representations undergo less radical changes than others have proposed. Instead, developmental change may occur gradually as children acquire linguistic cues which map onto existing semantic representations. (shrink)

We see no grounds for insisting that, because the concept natural number is abstract, its foundations must be innate. It is possible to specify domain general learning processes that feed into more abstract concepts of numerical infinity. By neglecting the messiness of children's slow acquisition of arithmetical concepts, Rips et al. present an idealized, unnecessarily insular, view of number development.