In defense of intuitive mathematical theories as the basis for natural number

Behavioral and Brain Sciences 31 (6):643-644 (2008)
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Abstract

Though there are holes in the theory of how children move through stages of numerical competence, the current approach offers the most promising avenue for characterizing changes in competence as children confront new mathematical concepts. Like the science of mathematics, children's discovery of number is rooted in intuitions about sets, and not purely in analytic truths

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Critique of pure reason.Immanuel Kant - 2007 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Late modern philosophy: essential readings with commentary. Oxford: Wiley-Blackwell. pp. 449-451.
The Child's Conception of the World.J. Piaget - 1929 - Mind 38 (152):506-513.

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