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Abstract Relations: Bibliography and the Infra-structures of Modern Mathematics

Barany, Michael J (2020) Abstract Relations: Bibliography and the Infra-structures of Modern Mathematics. [Preprint]

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Abstract

Beginning at the end of the nineteenth century, systematic scientific abstracting played a crucial role in reconfiguring the sciences on an international scale. For mathematicians, the 1931 launch of the Zentralblatt für Mathematik and 1940 launch of Mathematical Reviews marked and intensified a fundamental transformation, not just to the geographic scale of professional mathematics but to the very nature of mathematicians’ research and theories. It was not an accident that mathematical abstracting in this period coincided with an embrace across mathematical research fields of a distinctive form of symbolic and conceptual abstraction. This essay examines the historical, institutional, embodied, and conceptual bases of mathematical abstracting and abstraction in the mid-twentieth century, placing them in historical context within the first half of the twentieth century and then examining their consequences and legacies for the second half of the twentieth century and beyond. Focused on scale, media, and the relationship between mathematical knowledge and its forms of articulation, my analysis connects the changing social structure of modern mathematical research communities to their changing domains of investigation and resources for representation and collective understanding.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Barany, Michael J0000-0002-4067-5112
Keywords: Bibliography, infrastructure, structuralism, abstracting, abstraction.
Subjects: Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics
General Issues > Social Epistemology of Science
General Issues > Theory Change
Depositing User: Dr Michael Barany
Date Deposited: 02 May 2020 04:13
Last Modified: 02 May 2020 04:13
Item ID: 17129
Subjects: Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Practice
Specific Sciences > Mathematics
General Issues > Social Epistemology of Science
General Issues > Theory Change
Date: 30 April 2020
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/17129

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