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Mathematical induction and its formation during childhood

Published online by Cambridge University Press:  11 December 2008

Leslie Smith
Leslie Smith
Affiliation:
Freelance Researcher, Lake District, United Kingdom; Professor Emeritus, Lancaster University, Lancaster LA1 4YD, United Kingdoml.smith@lancaster.ac.ukhttp://www.2.clikpic.com/ls99/http://www.lancs.ac.uk/fass/edres/profiles/Leslie-Smith/
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Abstract

I support Rips et al.'s critique of psychology through (1) a complementary argument about the normative, modal, constitutive nature of mathematical principles. I add two reservations about their analysis of mathematical induction, arguing (2) for constructivism against their logicism as to its interpretation and formation in childhood (Smith 2002), and (3) for Piaget's account of reasons in rule learning.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 669 - 670
Copyright
Copyright © Cambridge University Press 2008

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