Division of Cognitive Sciences, Department of Psychology, University of Potsdam, Karl-Liebknecht-Strasse 24-25, House 14, 14476 Potsdam OT Golm, Germany
Department of Behavioral Sciences, Ariel University, Ariel 40700, Israel.
Philos Trans R Soc Lond B Biol Sci. 2018 Aug 5;373(1752). doi: 10.1098/rstb.2017.0125.
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'.
数值知识，包括数概念和算术运算，似乎是一个明确的抽象符号操作案例。然而，来自感知和运动行为的证据表明，自然数知识和简单算术也仍然与模态体验密切相关。在回顾了行为、动物和神经科学对数字处理的研究之后，我们提出了一种对心理数字概念的新理解，即基于物理限制、体现在经验中，并通过特定任务的意图来定位。这种观点认为，数字概念在抽象和模态概念知识的连续体上占据了一系列位置，这也解释了心理算术中的系统启发式和偏差，从而邀请了心理学方法来研究数学思维。本文是主题为“抽象概念的多样性：大脑中的发展、使用和表现”的一部分。
