Arithmetic in symbolic and non-symbolic numerical domains
نویسندگان
چکیده
منابع مشابه
Neural correlates of symbolic and non-symbolic arithmetic.
Recent evidence suggests that areas in and around the intraparietal sulcus (IPS) represent magnitude in a stimulus-independent format. However, it has not been established whether the same is true for mental arithmetic or whether activation for higher level numerical processing diverges as a function of stimulus format. We addressed this question in a functional imaging study by presenting part...
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Partial determinations are an interesting form of dependency between attributes in a relation. They generalize functional dependencies by allowing exceptions. We modify a known MDL formula for evaluating such partial determinations to allow for its use in an admissible heuristic in exhaustive search. Furthermore we describe an eecient preprocessing-based approach for handling numerical attribut...
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Addition problems can be solved by mentally manipulating quantities for which the bilateral intraparietal sulcus (IPS) is likely recruited, or by retrieving the answer directly from fact memory in which the left angular gyrus (AG) and perisylvian areas may play a role. Mental addition is usually studied with problems presented in the Arabic notation (4+2), and less so with number words (four+tw...
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Many AI problems, such as planning, grammar learning, program induction, and theory discovery, require searching in symbolic domains. Most models perform this search by evaluating a sequence of candidate solutions, generated in order by some heuristic. Human reasoning, though, is not limited to sequential trial and error. In particular, humans are able to reason about what the solution to a par...
متن کاملNon-symbolic arithmetic in adults and young children.
Five experiments investigated whether adults and preschool children can perform simple arithmetic calculations on non-symbolic numerosities. Previous research has demonstrated that human adults, human infants, and non-human animals can process numerical quantities through approximate representations of their magnitudes. Here we consider whether these non-symbolic numerical representations might...
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ژورنال
عنوان ژورنال: Journal of Vision
سال: 2010
ISSN: 1534-7362
DOI: 10.1167/6.6.960