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

Published online by Cambridge University Press:  11 December 2008

Lieven Decock
Lieven Decock
Affiliation:
Faculty of Philosophy, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, The NetherlandsLB.Decock@ph.vu.nlhttp://www.wijsbegeerte.vu.nl/lievendecock
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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.

Type
Open Peer Commentary
Information
Behavioral and Brain Sciences , Volume 31 , Issue 6 , December 2008 , pp. 648 - 649
Copyright
Copyright © Cambridge University Press 2008

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