Numerical Cognition

Joonkoo Park, PhD, is Associate Professor in the Department of Psychological and Brain Sciences at the University of Massachusetts Amherst. Dr. Park is broadly interested in uniquely human cognition and brings a wealth of expertise to investigating numerical cognition using multiple, integrated methodologies.Eric Snyder, PhD, is Associate Professor of Philosophy at Ashoka University. Dr. Snyder specializes in the philosophy of language, logic, and the philosophy of mathematics, and has numerous publications of relevance to numerical cognition, especially concerning the semantics of number words.Richard Samuels, PhD, is Professor and Chair in the Department of Philosophy at the Ohio State University. Dr. Samuels is a philosopher of mind and philosopher of science and has published extensively on issues concerning cognitive development, reasoning, modularity, computational models in cognitive science, and number cognition.

• Introduction.- The development of the perceptual number sense: current theories and debates.- Re-thinking the number sense: The perceptual interdependence account.- Numerosity and sensory processing in the human brain.- Cardinality, numerousness, and autoscaling: Revisiting the content and format of the approximate number system.- Number as a primary perceptual attribute.- Number, adaptation, and perception.- How do we perceive large numbers? A neurocomputational inquiry.- Why the approximate number system supports number concept nativism—even if there are no innate number concepts.- It’s numbers all the way down.- Is nativism sufficient in the acquisition of number word meanings?.- Number concepts and the elastic mind.- Collections and numerical cognition.- Where does the concept set come from?.- Three contentious theoretical assumptions within number cognition research.- Acquiring numerical equality.- Going beyond four without counting: evidence from Mexican Sign Language.- Double counting.- Number as a window into developmental differences in the categorization and quantification of partial objects.- On the semantics of number (words) and degrees.- Numerical expressions and maximality: Semantic or pragmatic, lexical or compositional?.- Taxonomic uses of number words and their theoretical significance.- The role of syntax in numerical and mathematical processing.- Number development: The interplay between processes of ontogenesis, sociogenesis, and microgenesis.- An experimental history of number: Simulating the emergence of symbolic number.- On comparative studies of numeral systems.- Li(n)king numbers and space: Origins and limits.- Rethinking spatial-numerical associations origin: Comparative insights into biology, culture and competing theories.- Neuroscience of number percepts and concepts: the integration-divergence debate and its neural foundations.- Do U.S. children have any conceptual understanding of fraction arithmetic?.- Grasping numbers without our hands.- Debating numerical cognition abilities in non-human animals.