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Mathematical induction and its formation during childhood.

Research output: Contribution to journalJournal article

Published

Journal publication date12/2008
JournalBehavioral and Brain Sciences
Journal number6
Volume31
Number of pages2
Pages669-670
Original languageEnglish

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.