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Linguistic Determinism and the Innate Basis of Number

In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press on Demand (2005)

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  1. Number and natural language.Stephen Laurence & Eric Margolis - 2005 - In Peter Carruthers, Stephen Laurence & Stephen P. Stich (eds.), The Innate Mind: Structure and Contents. New York, US: Oxford University Press USA. pp. 1--216.
    One of the most important abilities we have as humans is the ability to think about number. In this chapter, we examine the question of whether there is an essential connection between language and number. We provide a careful examination of two prominent theories according to which concepts of the positive integers are dependent on language. The first of these claims that language creates the positive integers on the basis of an innate capacity to represent real numbers. The second claims (...)
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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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  • Children's understanding of counting.Karen Wynn - 1990 - Cognition 36 (2):155-193.
  • Objects and attention: the state of the art.Brian J. Scholl - 2001 - Cognition 80 (1-2):1-46.
  • Radical concept nativism.Stephen Laurence & Eric Margolis - 2002 - Cognition 86 (1):25-55.
    Radical concept nativism is the thesis that virtually all lexical concepts are innate. Notoriously endorsed by Jerry Fodor (1975, 1981), radical concept nativism has had few supporters. However, it has proven difficult to say exactly what’s wrong with Fodor’s argument. We show that previous responses are inadequate on a number of grounds. Chief among these is that they typically do not achieve sufficient distance from Fodor’s dialectic, and, as a result, they do not illuminate the central question of how new (...)
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  • Preverbal and verbal counting and computation.C. R. Gallistel & Rochel Gelman - 1992 - Cognition 44 (1-2):43-74.
  • 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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  • Thinking through language.Paul Bloom & Frank C. Keil - 2001 - Mind and Language 16 (4):351–367.
    What would it be like to have never learned English, but instead only to know Hopi, Mandarin Chinese, or American Sign Language? Would that change the way you think? Imagine entirely losing your language, as the result of stroke or trauma. You are aphasic, unable to speak or listen, read or write. What would your thoughts now be like? As the most extreme case, imagine having been raised without any language at all, as a wild child. What—if anything—would it be (...)
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  • Non-symbolic arithmetic in adults and young children.Hilary Barth, Kristen La Mont, Jennifer Lipton, Stanislas Dehaene, Nancy Kanwisher & Elizabeth Spelke - 2006 - Cognition 98 (3):199-222.
  • The Language of Thought.J. A. Fodor - 1978 - Critica 10 (28):140-143.
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  • Rethinking Linguistic Relativity.J. Gumperz & S. Levinson (eds.) - 1996 - Cambridge University Press.
    This book reexamines ideas about linguistic relativity in the light of new evidence and changes in theoretical climate.
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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 (...)
  • 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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  • 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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  • Addition and subtraction by human infants. 358 (6389), 749-750. Xu, F., & Spelke, ES (2000). Large number discrimination in 6-month-old infants. [REVIEW]K. Wynn - 1992 - Cognition 74 (1).
     
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  • What makes us Smart? Core knowledge and natural language.Elizabeth S. Spelke - 2003 - In Dedre Getner & Susan Goldin-Meadow (eds.), Language in Mind: Advances in the Study of Language and Thought. MIT Press. pp. 277--311.
  • The present status of the innateness controversy.Jerry A. Fodor - 1981 - In Jerry Fodor (ed.), RePresentations: Philosophical Essays on the Foundations of Cognitive Science. Cambridge, MA: MIT Press. pp. 257-316.
  • The Number Sense: How the Mind Creates Mathematics.Stanislas Dehaene - 1999 - British Journal of Educational Studies 47 (2):201-203.
  • The evolution and ontogeny of ordinal numerical ability.Elizabeth M. Brannon & Herbert S. Terrace - 2002 - In Marc Bekoff, Colin Allen & Gordon M. Burghardt (eds.), The Cognitive Animal: Empirical and Theoretical Perspectives on Animal Cognition. MIT Press. pp. 197--204.
     
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