Blending Theory and Mathematical Cognition

Marcel Danesi ()
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Marcel Danesi: University of Toronto, Anthropology, Victoria College

Chapter 4 in Handbook of Cognitive Mathematics, 2022, pp 89-110 from Springer

Abstract: 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.

Keywords: Math cognition; Blending theory; Conceptual metaphors; Image schemas; Abduction; Innatism; Language (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-03945-4_50

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DOI: 10.1007/978-3-031-03945-4_50

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