Number concepts: abstract and embodied

Author:

Fischer Martin H.12ORCID,Shaki Samuel2

Affiliation:

1. Division of Cognitive Sciences, Department of Psychology, University of Potsdam, Karl-Liebknecht-Strasse 24-25, House 14, 14476 Potsdam OT Golm, Germany

2. Department of Behavioral Sciences, Ariel University, Ariel 40700, Israel

Abstract

Numerical knowledge, including number concepts and arithmetic procedures, seems to be a clear-cut case for abstract symbol manipulation. Yet, evidence from perceptual and motor behaviour reveals that natural number knowledge and simple arithmetic also remain closely associated with modal experiences. Following a review of behavioural, animal and neuroscience studies of number processing, we propose a revised understanding of psychological number concepts as grounded in physical constraints, embodied in experience and situated through task-specific intentions. The idea that number concepts occupy a range of positions on the continuum between abstract and modal conceptual knowledge also accounts for systematic heuristics and biases in mental arithmetic, thus inviting psycho-logical approaches to the study of the mathematical mind. This article is part of the theme issue ‘Varieties of abstract concepts: development, use and representation in the brain’.

Publisher

The Royal Society

Subject

General Agricultural and Biological Sciences,General Biochemistry, Genetics and Molecular Biology

Reference133 articles.

1. Frege G. 1884 Die Grundlagen der Arithmetik (Foundations of arithmetic). Breslau Germany: Wilhelm Koebner.

2. Predicting sights from sounds: 6-month-olds’ intermodal numerical abilities

3. Magnitude Codes for Cross-Modal Working Memory in the Primate Frontal Association Cortex

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