A Historically and Philosophically Informed Approach to Mathematical Metaphors

International Studies in the Philosophy of Science 27 (2):109-135 (2013)
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Abstract

This article discusses the concept of mathematical metaphor as a tool for analyzing the formation of mathematical knowledge. It reflects on the work of Lakoff and Núñez as a reference point against which to rearticulate a richer notion of mathematical metaphor that can account for actual mathematical evolution. To reach its goal this article analyzes historical case studies, draws on cognitive research, and applies lessons from the history of metaphors in philosophy as analyzed by Derrida and de Man

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10.1080/02698595.2013.813257

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Citations of this work

The earth vibrates with analogies: The Dirac sea and the geology of the vacuum.Stefano Furlan & Rocco Gaudenzi - 2022 - Studies in History and Philosophy of Science Part A 93 (C):163-174.
Cognitive stories and the image of mathematics.Wagner Roy - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):305-323.

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References found in this work

Metaphors we live by.George Lakoff & Mark Johnson - 1980 - Chicago: University of Chicago Press. Edited by Mark Johnson.
Metaphors We Live By.George Lakoff & Mark Johnson - 1980 - Ethics 93 (3):619-621.
Limited Inc.Jacques Derrida - 1988 - Northwestern University Press.
Metaphors We Live by.Max Black - 1980 - Journal of Aesthetics and Art Criticism 40 (2):208-210.

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