Symbols and quantities in parietal cortex: elements of a mathematical theory of number representation and manipulation
This chapter discusses a mathematical theory relating neurobiological observations to psychological laws in the domain of numerical cognition. It generates equations for response times and errors in classical tasks of number comparison, and same–different judgments are shown to tightly fit behavioural and neural data. It provides chronometric evidence supporting the hypothesis that the acquisition of number symbols changes the mental number line and examines symbolic and nonsymbolic representations of numbers affecting performance in arithmetic computations such as addition and subtraction.
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