Behavioral and Brain Sciences

Table of Contents - 2008 - Volume 31, Issue 06  

Open Peer Commentary

Neo-Fregeanism naturalized: The role of one-to-one correspondence in numerical cognition

Lieven Decocka1

a1 Faculty of Philosophy, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, The Netherlands LB.Decock@ph.vu.nl http://www.wijsbegeerte.vu.nl/lievendecock

Abstract

Rips et al. argue that the construction of math schemas roughly similar to the Dedekind/Peano axioms may be necessary for arriving at arithmetical skills. However, they neglect the neo-Fregean alternative axiomatization of arithmetic, based on Hume's principle. Frege arithmetic is arguably a more plausible start for a top-down approach in the psychological study of mathematical cognition than Peano arithmetic.

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