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

Behavioral and Brain Sciences 31 (6):648-649 (2008)
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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The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
The Basic Laws of Arithmetic.Gottlob Frege - 1964 - Berkeley: University of California Press.
Cardinality, Counting, and Equinumerosity.Richard Heck - 2000 - Notre Dame Journal of Formal Logic 41 (3):187-209.

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