David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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Mind and Language 16 (1):37–55 (2001)
Dehaene articulates a naturalistic approach to the cognitive foundations of mathematics. Further, he argues that the ‘number line’ 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 number. Rather, the developmental source of explicit integer list representations of number are more likely to be systems such as the object–file representations that articulate mid–level object based attention, systems that build parallel representations of small sets of individuals.
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Citations of this work BETA
A. Papafragou (2003). Scalar Implicatures: Experiments at the Semantics–Pragmatics Interface. Cognition 86 (3):253-282.
Lance J. Rips, Amber Bloomfield & Jennifer Asmuth (2008). From Numerical Concepts to Concepts of Number. Behavioral and Brain Sciences 31 (6):623-642.
Rochel Gelman & Brian Butterworth (2005). Number and Language: How Are They Related? Trends in Cognitive Sciences 9 (1):6-10.
Eric Margolis & Stephen Laurence (2008). How to Learn the Natural Numbers: Inductive Inference and the Acquisition of Number Concepts. Cognition 106 (2):924-939.
Lance J. Rips, Jennifer Asmuth & Amber Bloomfield (2006). Giving the Boot to the Bootstrap: How Not to Learn the Natural Numbers. Cognition 101 (3):B51-B60.
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