Based on the notion that time, space, and number are part of a generalized magnitude
system, we assume that the dual-systems approach to temporal cognition also applies to …

Leibovich et al. proposed that the processing of numerosities is based primarily on a “sense
of magnitude.” The consequences of this proposal for how numerical symbols acquire their …

We argue that number principles may be learnable instead of innate, by suggesting that
children acquire probabilistically true number concepts rather than algorithms. We also …

Infants' knowledge need not have the same structure as the mature knowledge that
develops from it. Fundamental to an understanding of number are concepts of equivalence …

In this review, we are pitting two theories against each other: the more accepted theory, the
number sense theory, suggesting that a sense of number is innate and non-symbolic …

Cohen Kadosh & Walsh (CK&W) present convincing evidence indicating the existence of
notation-specific numerical representations in parietal cortex. We suggest that the same …

We agree that the approximate number system (ANS) truly represents number. We endorse
the authors' conclusions on the arguments from confounds, congruency, and imprecision …

Many researchers, including Clarke and Beck, describe the human numerical system as
unitary. We offer an alternative view–the coexistence of several systems; namely, multiple …

Leibovich et al.'s theory neither accounts for the deep connections between whole numbers
and other classes of number nor provides a potential mechanism for mapping continuous …

Differences between the philosophy of mathematics and the psychology of number
development Page 1 From numerical concepts to concepts of number Lance J. Rips …