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Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics

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Embodied Artificial Intelligence

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3139))

Abstract

Robotics, artificial intelligence and, in general, any activity involving computer simulation and engineering relies, in a fundamental way, on mathematics. These fields constitute excellent examples of how mathematics can be applied to some area of investigation with enormous success. This, of course, includes embodied oriented approaches in these fields, such as Embodied Artificial Intelligence and Cognitive Robotics. In this chapter, while fully endorsing an embodied oriented approach to cognition, I will address the question of the nature of mathematics itself, that is, mathematics not as an application to some area of investigation, but as a human conceptual system with a precise inferential organization that can be investigated in detail in cognitive science. The main goal of this piece is to show, using techniques in cognitive science such as cognitive semantics and gestures studies, that concepts and human abstraction in general (as it is exemplified in a sublime form by mathematics) is ultimately embodied in nature.

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Author information

Authors and Affiliations

  1. Department of Cognitive Science, University of California, San Diego

    Rafael Núñez

Authors
  1. Rafael Núñez
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Editor information

Editors and Affiliations

  1. Artificial Intelligence Laboratory, Department of Informatics, University of Zurich, Andreasstrasse 15, CH-8050, Zurich, Switzerland

    Fumiya Iida  & Rolf Pfeifer  & 

  2. VUB AI Lab, Vrije Universiteit Brussels, Pleinlaan 2, 1050, Brussels, Belgium

    Luc Steels

  3. JST ERATO Asada Synergistic Intelligence Project,  

    Yasuo Kuniyoshi

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© 2004 Springer-Verlag Berlin Heidelberg

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Núñez, R. (2004). Do Real Numbers Really Move? Language, Thought, and Gesture: The Embodied Cognitive Foundations of Mathematics. In: Iida, F., Pfeifer, R., Steels, L., Kuniyoshi, Y. (eds) Embodied Artificial Intelligence. Lecture Notes in Computer Science(), vol 3139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27833-7_4

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  • DOI: https://doi.org/10.1007/978-3-540-27833-7_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22484-6

  • Online ISBN: 978-3-540-27833-7

  • eBook Packages: Springer Book Archive

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