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Mathematical CulturesOn the Emergence of a New Mathematical Object: An Ethnography of a Duality Transform

Mathematical Cultures: On the Emergence of a New Mathematical Object: An Ethnography of a Duality... [This paper traces the emergence of a new mathematical object (a certain duality transform) in the social-mathematical space. The object’s “biography” is based on an ethnographic observation of the research conducted by two leading mathematicians at Tel Aviv University. The paper argues for the feasibility and necessity of such “laboratory studies” of mathematical knowledge and practice. Based on an Actor-Network approach, it describes the object’s coming into being as a series of translations the object has to go through in order to form new ties and modify existing ones. The research shows that the process of production of the new mathematical object is neither “purely” mathematical, nor “purely” social. It is a combination of factors that are not easily classified in either category, factors that together shape the new duality transform. In place of the traditional classification into social elements and natural elements, a story is suggested which follows the study-objects wherever they go, disregarding categorical-boundaries.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical CulturesOn the Emergence of a New Mathematical Object: An Ethnography of a Duality Transform

Part of the Trends in the History of Science Book Series
Editors: Larvor, Brendan
Kaufman, Stav
Mathematical Cultures — May 26, 2016
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19 pages

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References (37)

Publisher
Springer International Publishing
Copyright
© Springer International Publishing Switzerland 2016
ISBN
978-3-319-28580-1
Pages
91 –110
DOI
10.1007/978-3-319-28582-5_6
Publisher site
See Chapter on Publisher Site

Abstract

[This paper traces the emergence of a new mathematical object (a certain duality transform) in the social-mathematical space. The object’s “biography” is based on an ethnographic observation of the research conducted by two leading mathematicians at Tel Aviv University. The paper argues for the feasibility and necessity of such “laboratory studies” of mathematical knowledge and practice. Based on an Actor-Network approach, it describes the object’s coming into being as a series of translations the object has to go through in order to form new ties and modify existing ones. The research shows that the process of production of the new mathematical object is neither “purely” mathematical, nor “purely” social. It is a combination of factors that are not easily classified in either category, factors that together shape the new duality transform. In place of the traditional classification into social elements and natural elements, a story is suggested which follows the study-objects wherever they go, disregarding categorical-boundaries.]

Published: May 26, 2016

Keywords: Convex Body; Mathematical Knowledge; Mathematical Practice; Functional Inequality; Prestigious Journal

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