Conceptual Metaphors and Mathematical Practice: On Cognitive Studies of Historical Developments in Mathematics

Topics in Cognitive Science 5 (2):283-298 (2013)
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Abstract

This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a distinction between mathematics as it is presented in textbooks and as it presents itself to the researcher, it is argued that the focus of cognitive analyses of historical developments of mathematics has been primarily on the former, even if they claim to be about the latter.

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Dirk Schlimm
McGill University

Citations of this work

Manipulative imagination: how to move things around in mathematics.Valeria Giardino - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):345-360.

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References found in this work

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - Chicago, IL: University of Chicago Press. Edited by Ian Hacking.
Metaphors we live by.George Lakoff & Mark Johnson - 1980 - Chicago: University of Chicago Press. Edited by Mark Johnson.
The origin of concepts.Susan Carey - 2009 - New York: Oxford University Press.

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