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Testimony and Children’s Acquisition of Number Concepts

In Sorin Bangu (ed.), Naturalizing Logico-Mathematical Knowledge: Approaches From Psychology and Cognitive Science. New York: Routledge. pp. 172-186 (2018)

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  • Understanding and sharing intentions: The origins of cultural cognition.Michael Tomasello, Malinda Carpenter, Josep Call, Tanya Behne & Henrike Moll - 2005 - Behavioral and Brain Sciences 28 (5):675-691.
    We propose that the crucial difference between human cognition and that of other species is the ability to participate with others in collaborative activities with shared goals and intentions: shared intentionality. Participation in such activities requires not only especially powerful forms of intention reading and cultural learning, but also a unique motivation to share psychological states with others and unique forms of cognitive representation for doing so. The result of participating in these activities is species-unique forms of cultural cognition and (...)
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  • Connecting numbers to discrete quantification: A step in the child’s construction of integer concepts.Emily Slusser, Annie Ditta & Barbara Sarnecka - 2013 - Cognition 129 (1):31-41.
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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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  • Giving the boot to the bootstrap: How not to learn the natural numbers.Lance J. Rips, Jennifer Asmuth & Amber Bloomfield - 2006 - Cognition 101 (3):B51-B60.
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  • From numerical concepts to concepts of number.Lance J. Rips, Amber Bloomfield & Jennifer Asmuth - 2008 - Behavioral and Brain Sciences 31 (6):623-642.
    Many experiments with infants suggest that they possess quantitative abilities, and many experimentalists believe that these abilities set the stage for later mathematics: natural numbers and arithmetic. However, the connection between these early and later skills is far from obvious. We evaluate two possible routes to mathematics and argue that neither is sufficient: (1) We first sketch what we think is the most likely model for infant abilities in this domain, and we examine proposals for extrapolating the natural number concept (...)
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  • An Inquiry Into the Human Mind, on the Principles of Common Sense.Thomas Reid - 1997 - Cambridge University Press. Edited by Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya.
    Thomas Reid, the Scottish natural and moral philosopher, was one of the founding members of the Aberdeen Philosophical Society and a significant figure in the Scottish Enlightenment. Reid believed that common sense should form the foundation of all philosophical inquiry. He criticised the sceptical philosophy propagated by his fellow Scot David Hume and the Anglo-Irish bishop George Berkeley, who asserted that the external world did not exist outside the human mind. Reid was also critical of the theory of ideas propagated (...)
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  • Know How to Transmit Knowledge?Ted Poston - 2015 - Noûs 50 (4):865-878.
    Intellectualism about knowledge-how is the view that practical knowledge is a species of propositional knowledge. I argue that this view is undermined by a difference in properties between knowledge-how and both knowledge-that and knowledge-wh. More specifically, I argue that both knowledge-that and knowledge-wh are easily transmitted via testimony while knowledge-how is not easily transmitted by testimony. This points to a crucial difference in states of knowledge. I also consider Jason Stanley's attempt to subsume knowledge-how under an account of de se (...)
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    Developing earlier studies of the system of numbers in Mundurucu, this paper argues that the Mundurucu numeral system is far more complex than usually assumed. The Mundurucu numeral system provides indirect but insightful arguments for a modular approach to numbers and numerals. It is argued that distinct components must be distinguished, such as a system of representation of numbers in the format of internal magnitudes, a system of representation for individuals and sets, and one-to-one correspondences between the numerosity expressed by (...)
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  • Telling, showing and knowing: A unified theory of pedagogical norms.Wesley Buckwalter & John Turri - 2014 - Analysis 74 (1):16-20.
    Pedagogy is a pillar of human culture and society. Telling each other information and showing each other how to do things comes naturally to us. A strong case has been made that declarative knowledge is the norm of assertion, which is our primary way of telling others information. This article presents an analogous case for the hypothesis that procedural knowledge is the norm of instructional demonstration, which is a primary way of showing others how to do things. Knowledge is the (...)
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  • An inquiry into the human mind on the principles of common sense.Thomas Reid - 1997 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Late Modern Philosophy: Essential Readings with Commentary. Blackwell.
    Thomas Reid , the Scottish natural and moral philosopher, was one of the founding members of the Aberdeen Philosophical Society and a significant figure in the Scottish Enlightenment. Reid believed that common sense should form the foundation of all philosophical inquiry. He criticised the sceptical philosophy propagated by his fellow Scot David Hume and the Anglo-Irish bishop George Berkeley, who asserted that the external world did not exist outside the human mind. Reid was also critical of the theory of ideas (...)
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  • The origin of concepts.Susan Carey - 2009 - New York: Oxford University Press.
    Only human beings have a rich conceptual repertoire with concepts like tort, entropy, Abelian group, mannerism, icon and deconstruction. How have humans constructed these concepts? And once they have been constructed by adults, how do children acquire them? While primarily focusing on the second question, in The Origin of Concepts , Susan Carey shows that the answers to both overlap substantially. Carey begins by characterizing the innate starting point for conceptual development, namely systems of core cognition. Representations of core cognition (...)
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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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  • Emile.Jean-Jacques Rousseau - unknown
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