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Ideas for 'fragments/reports', 'Law,Liberty and Morality' and 'Phil Applications of Cognitive Science'

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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Children may have three innate principles which enable them to learn to count [Goldman]
     Full Idea: It has been proposed (on the basis of observations) that young children have three innate principles of counting - one-to-one correspondence of number to item, stable order for numbers, and cardinality (which labels the nth item counted).
     From: Alvin I. Goldman (Phil Applications of Cognitive Science [1993], p.60)
     A reaction: I like the idea of observed patterns as central (which is the one-to-one principle). But the other two principles are plausible, and show why pure empiricism won't work.