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  1. Cognitive Foundations of Arithmetic: Evolution and Ontogenisis.Susan Carey - 2002 - Mind and Language 16 (1):37-55.
    Dehaene (this volume) articulates a naturalistic approach to the cognitive foundations of mathematics. Further, he argues that the ‘number line’ (analog magnitude) system of representation is the evolutionary and ontogenetic foundation of numerical concepts. Here I endorse Dehaene’s naturalistic stance and also his characterization of analog magnitude number representations. Although analog magnitude representations are part of the evolutionary foundations of numerical concepts, I argue that they are unlikely to be part of the ontogenetic foundations of the capacity to represent natural (...)
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  • Number as a cognitive technology: Evidence from Pirahã language and cognition.Michael C. Frank, Daniel L. Everett, Evelina Fedorenko & Edward Gibson - 2008 - Cognition 108 (3):819-824.
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  • Exact and Approximate Arithmetic in an Amazonian Indigene Group.Pierre Pica, Cathy Lemer, Véronique Izard & Stanislas Dehaene - 2004 - Science 306 (5695):499-503.
    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 (...)
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  • Core systems of number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
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  • Language in Mind: Advances in the Study of Language and Thought.Dedre Gentner & Susan Goldin-Meadow (eds.) - 2003 - MIT Press.
    The idea that the language we speak influences the way we think has evoked perennial fascination and intense controversy. According to the strong version of this hypothesis, called the Sapir-Whorf hypothesis after the American linguists who propounded it, languages vary in their semantic partitioning of the world, and the structure of one’s language influences how one understands the world. Thus speakers of different languages perceive the world differently. Although the last two decades have been marked by extreme skepticism concerning the (...)
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  • Cultural constraints on grammar and cognition in pirahã: Another look at the D e sign features} of human L anguage.Daniel L. Everett - 2005 - Current Anthropology 46 (4):621--646.
    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, (...)
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  • Knowledge of number and knowledge of language: Number as a test case for the role of language in cognition.Helen De Cruz & Pierre Pica - 2008 - Philosophical Psychology 21 (4):437 – 441.
    The relationship between language and conceptual thought is an unresolved problem in both philosophy and psychology. It remains unclear whether linguistic structure plays a role in our cognitive processes. This special issue brings together cognitive scientists and philosophers to focus on the role of language in numerical cognition: because of their universality and variability across languages, number words can serve as a fruitful test case to investigate claims of linguistic relativism.
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  • Large number discrimination in 6-month-old infants.Fei Xu & Elizabeth S. Spelke - 2000 - Cognition 74 (1):1-11.
    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.
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  • Sources of mathematical thinking: Behavioral and brain-imaging evidence.S. Dehaene, E. Spelke, P. Pinel, R. Stanescu & S. Tsivkin - 1999 - Science 284 (5416):970-974.
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  • Six does not just mean a lot: preschoolers see number words as specific.B. Sarnecka - 2004 - Cognition 92 (3):329-352.
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