TY - JOUR
T1 - Neo-Fregeanism naturalized. The role of the one-to-one correspondence in numerical cognition
AU - Decock, L.B.
PY - 2008
Y1 - 2008
N2 - 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. © 2008 Cambridge University Press.
AB - 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. © 2008 Cambridge University Press.
U2 - 10.1017/S0140525X08005645
DO - 10.1017/S0140525X08005645
M3 - Article
SN - 0140-525X
VL - 31
SP - 648
EP - 649
JO - Behavioral and Brain Sciences
JF - Behavioral and Brain Sciences
ER -
