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Embodiment of infinity in mathematics.

Omid Khatin-Zadeh1, Danyal Farsani2, Zahra Eskandari1

  • 1School of Foreign Languages, University of Electronic Science and Technology of China, Chengdu, China.

Frontiers in Psychology
|February 8, 2024
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Summary

The embodiment of infinity involves an endless, iterative process of surpassing limits, crucial for understanding mathematical concepts. This dynamic process engages visual and motor systems for spatial reasoning.

Keywords:
gesturesinfinityiterative embodimentmathematical conceptsmathematics education

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Area of Science:

  • Mathematics
  • Cognitive Science
  • Neuroscience

Background:

  • Infinity is a fundamental mathematical concept.
  • Embodying mathematical concepts often involves dynamic, iterative processes.
  • Understanding the cognitive and neural underpinnings of abstract concepts is an ongoing research area.

Purpose of the Study:

  • To explore the concept of 'iterative embodiment' for understanding infinity.
  • To analyze the dynamic process of embodying infinitely large and small quantities.
  • To investigate the role of sensory and motor systems in the embodiment of infinity.

Main Methods:

  • Conceptual analysis of mathematical infinity.
  • Description of a dynamic, iterative process for embodying infinite quantities.
  • Hypothesizing the involvement of visual and motor systems.

Main Results:

  • Infinity embodiment is an endless dynamic process, unlike other mathematical concepts.
  • Embodying +∞ and -∞ involves movement past successively set limits.
  • Embodiment of infinitely small quantities shares similarities with infinitely large quantities.

Conclusions:

  • The process of embodying infinity is termed 'iterative embodiment' due to its repetitive nature.
  • The visual and motor systems are suggested to play significant roles in embodying infinity.
  • Spatial concepts and movement are integral to the iterative embodiment of infinite quantities.