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  1. The Idea of an Exact Number: Children's Understanding of Cardinality and Equinumerosity.Barbara W. Sarnecka & Charles E. Wright - 2013 - Cognitive Science 37 (8):1493-1506.
    Understanding what numbers are means knowing several things. It means knowing how counting relates to numbers (called the cardinal principle or cardinality); it means knowing that each number is generated by adding one to the previous number (called the successor function or succession), and it means knowing that all and only sets whose members can be placed in one-to-one correspondence have the same number of items (called exact equality or equinumerosity). A previous study (Sarnecka & Carey, 2008) linked children's understanding (...)
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  • Learning to represent exact numbers.Barbara W. Sarnecka - 2015 - Synthese 198 (Suppl 5):1001-1018.
    This article focuses on how young children acquire concepts for exact, cardinal numbers. I believe that exact numbers are a conceptual structure that was invented by people, and that most children acquire gradually, over a period of months or years during early childhood. This article reviews studies that explore children’s number knowledge at various points during this acquisition process. Most of these studies were done in my own lab, and assume the theoretical framework proposed by Carey. In this framework, the (...)
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  • Enculturating folk psychologists.Victoria McGeer - 2020 - Synthese 199 (1-2):1039-1063.
    This paper argues that our folk-psychological expertise is a special case of extended and enculturated cognition where we learn to regulate both our own and others’ thought and action in accord with a wide array of culturally shaped folk-psychological norms. The view has three noteworthy features: it challenges a common assumption that the foundational capacity at work in folk-psychological expertise is one of interpreting behaviour in mentalistic terms, arguing instead that successful mindreading is largely a consequence of successful mindshaping; it (...)
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