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Number concepts: abstract and embodied.

Martin H Fischer1,2, Samuel Shaki2

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Summary
This summary is machine-generated.

Numerical cognition, encompassing number concepts and arithmetic, is linked to both abstract symbol manipulation and embodied experiences. This research suggests number concepts exist on a spectrum between abstract and modal knowledge.

Keywords:
SNARC effectembodied cognitionmental arithmeticmental number linenumerical cognition

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Area of Science:

  • Cognitive Psychology
  • Neuroscience
  • Mathematical Cognition

Background:

  • Numerical knowledge is often viewed as abstract symbol manipulation.
  • However, perceptual and motor behavior studies indicate a strong link to modal experiences.
  • This suggests a more nuanced understanding of number concepts is needed.

Purpose of the Study:

  • To propose a revised understanding of psychological number concepts.
  • To explore the continuum between abstract and modal conceptual knowledge.
  • To explain heuristics and biases in mental arithmetic.

Main Methods:

  • Review of behavioral studies on number processing.
  • Analysis of animal studies on number processing.
  • Examination of neuroscience studies on number processing.

Main Results:

  • Number concepts are grounded in physical constraints, embodied experience, and task-specific intentions.
  • Psychological number concepts exist on a spectrum from abstract to modal.
  • This continuum explains systematic biases in mental arithmetic.

Conclusions:

  • A revised model of number concepts integrates abstract and embodied perspectives.
  • Understanding this spectrum is crucial for studying the mathematical mind.
  • Future research should explore the psychological and neural underpinnings of this continuum.