Behavioral and Brain Sciences 31 (6):648-649 (2008)

Authors
Lieven Decock
VU University Amsterdam
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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DOI 10.1017/S0140525X08005645
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References found in this work BETA

The Foundations of Arithmetic.Gottlob Frege - 1884/1950 - Evanston: Ill., Northwestern University Press.
The Basic Laws of Arithmetic.Gottlob Frege - 1893 - Berkeley: University of California Press.
Cardinality, Counting, and Equinumerosity.Richard G. Heck - 2000 - Notre Dame Journal of Formal Logic 41 (3):187-209.

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Citations of this work BETA

Predicative Frege Arithmetic and ‘Everyday’ Mathematics.Richard Heck - 2014 - Philosophia Mathematica 22 (3):279-307.

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