The Small Number System PDF

ABSTRACT. I argue that the human mind includes an innate domain-specific system for representing precise small numerical quantities. This theory contrasts with object-tracking theories and with domain-general theories that only make use of mental models. I argue that there is a good amount of evidence for innate representations of small numerical quantities and that such a domain-specific system has explanatory advantages when infants’ poor working memory is taken into account. I also show that the mental models approach requires previously unnoticed domain-specific structure and consequently that there is no domain-general alternative to an innate domain-specific small number system.

Margolis, E. (forthcoming). The Small Number System. Philosophy of Science.
DOI: 10.1086/706087

Related papers

• How to Learn the Natural Numbers: Inductive Inference and the Acquisition of Number Concepts
• Linguistic Determinism and the Innate Basis of Number
• Number and Natural Language