Is calculation possible without language? Or is the human ability for arithmetic dependent on the language faculty? To clarify the relation between language and arithmetic, we studied numerical cognition in speakers of Mundurukú, an Amazonian language with a very small lexicon of number words. Although the Mundurukú lack words for numbers beyond 5, they are able to compare and add large approximate numbers that are far beyond their naming range. However, they fail in exact arithmetic with numbers larger than 4 (...) or 5. Our results imply a distinction between a nonverbal system of number approximation and a language-based counting system for exact number and arithmetic. (shrink)

INTRODUCTION The career of Benjamin Lee Whorf might, on the one hand, be described as that of a businessman of specialized talents— one of those individuals ...

The present response elucidates, elaborates, and defends the main thesis advanced in the target article: namely, that natural-language sentences play a constitutive role in some human thought processes, and that they are responsible for some of the distinctive flexibility of human thinking, serving to integrate the outputs of a variety of conceptual modules. Section R1 clarifies and elaborates this main thesis, responding to a number of objections and misunderstandings. Section R2 considers three contrasting accounts of the mechanism of intermodular integration. (...) Section R3 discusses objections to some of the empirical data supporting my main thesis. Section R4 criticizes some competing theories of the role of language in cognition. And section R5 considers some proposed supplementary cognitive roles that language might play. (shrink)

The Pirahã language challenges simplistic application of Hockett’s nearly universally accepted design features of human language by showing that some of these features may be culturally constrained. In particular, Pirahã culture constrains communication to nonabstract subjects which fall within the immediate experience of interlocutors. This constraint explains a number of very surprising features of Pirahã grammar and culture: the absence of numbers of any kind or a concept of counting and of any terms for quantification, the absence of color terms, (...) the absence of embedding, the simplest pronoun inventory known, the absence of "relative tenses," the simplest kinship system yet documented, the absence of creation myths and fiction, the absence of any individual or collective memory of more than two generations past, the absence of drawing or other art and one of the simplest material cultures documented, and the fact that the Pirahã are monolingual after more than 200 years of regular contact with Brazilians and the Tupi-Guarani-speaking Kawahiv. (shrink)

In Furnishing the Mind, Jesse Prinz attempts to swing the pendulum back toward empiricism.

Since its publication in 1959, Individuals has become a modern philosophical classic. Bold in scope and ambition, it continues to influence debates in metaphysics, philosophy of logic and language, and epistemology. Peter Strawson's most famous work, it sets out to describe nothing less than the basic subject matter of our thought. It contains Strawson's now famous argument for descriptive metaphysics and his repudiation of revisionary metaphysics, in which reality is something beyond the world of appearances. Throughout, Individuals advances some highly (...) influential and controversial ideas, such as 'non-solipsistic consciousness' and the concept of a person a 'primitive concept'. (shrink)

Six-month-old infants discriminate between large sets of objects on the basis of numerosity when other extraneous variables are controlled, provided that the sets to be discriminated differ by a large ratio (8 vs. 16 but not 8 vs. 12). The capacities to represent approximate numerosity found in adult animals and humans evidently develop in human infants prior to language and symbolic counting.

The idea that formal geometry derives from intuitive notions of space has appeared in many guises, most notably in Kant’s argument from geometry. Kant claimed that an a priori knowledge of spatial relationships both allows and constrains formal geometry: it serves as the actual source of our cognition of principles of geometry and as a basis for its further cultural development. The development of non-Euclidean geometries, however, seemed to definitely undermine the idea that there is some privileged relationship between our (...) spatial intuitions and mathematical theory. This paper’s aim is to look at this longstanding philosophical issue through the lens of cognitive science. Drawing on recent evidence from cognitive ethology, developmental psychology, neuroscience and anthropology, I argue for an enhanced, more informed version of the argument from geometry: humans share with other species evolved, innate intuitions of space which serve as a vital precondition for geometry as a formal science. (shrink)

In this study, we test whether children whose culture lacks CWs and counting practices use a spatial strategy to support enumeration tasks. Children from two indigenous communities in Australia whose native and only language (Warlpiri or Anindilyakwa) lacked CWs and were tested on classical number development tasks, and the results were compared with those of children reared in an English-speaking environment. We found that Warlpiri- and Anindilyakwa-speaking children performed equivalently to their English-speaking counterparts. However, in tasks in which they were (...) required to match the number of objects in a display, they were more likely to reconstruct part or all of the spatial arrangement of the target than were their English-speaking counterparts. Following John Locke's interpretation of users of similar American languages and in contrast with later Whorfian interpretations, we suggest that CWs may be strategically useful, but that in their absence, other task-specific strategies will be deployed. (shrink)

In recent years, neologicists have demonstrated that Hume's principle, based on the one-to-one correspondence relation, suffices to construct the natural numbers. This formal work is shown to be relevant for empirical research on mathematical cognition. I give a hypothetical account of how nonnumerate societies may acquire arithmetical knowledge on the basis of the one-to-one correspondence relation only, whereby the acquisition of number concepts need not rely on enumeration (the stable-order principle). The existing empirical data on the role of the one-to-one (...) correspondence relation for numerical abilities is assessed and additional empirical tests are proposed. In the final part, it is argued that the fact that the successor relation and the one-to-one correspondence relation can play independent roles in number concept acquisition may be a complication for testing the Whorfian hypothesis. (shrink)