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Blending Theory and Mathematical Cognition

In: Handbook of Cognitive Mathematics

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  • Marcel Danesi

    (University of Toronto, Anthropology, Victoria College)

Abstract

Blending theory emerged in the early part of the twenty-first century to model conceptualizations across faculties, from language to mathematics and art. It was applied for the first time to mathematics in a systematic way by Lakoff and Núñez in their 2000 book, Where mathematics Comes From, in which the two cognitive scientists show how mathematic ideas are forged in the same way as linguistic ones via conceptual metaphors and the image schemas that undergird them. This chapter looks at blending theory as a model of math cognition, and how it has evolved since Lakoff and Núñez’s book, comparing it to other approaches, including abduction theory as put forth by Charles Peirce.

Suggested Citation

  • Marcel Danesi, 2022. "Blending Theory and Mathematical Cognition," Springer Books, in: Marcel Danesi (ed.), Handbook of Cognitive Mathematics, chapter 4, pages 89-110, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-03945-4_50
    DOI: 10.1007/978-3-031-03945-4_50
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