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Abstract
This edited volume of new essays by top scholars in the philosophy of mathematics explores this previously overlooked 'prehistory' of mathematical structuralism. The contributors explore this historical background along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics, such as Dedekind, Hilbert, and Bourbaki, who are responsible for the introduction of new number systems, algebras, and geometries that transformed the landscape of mathematics. Second, they reexamine a range of philosophical reflections by mathematically inclined philosophers, like Russell, Cassirer, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysical aspects of structuralism.
Overall, the essays in this volume show not only that the prehistory of mathematical structuralism is much richer than commonly appreciated, but also that it is crucial to take into account this broader intellectual history for enriching current debates in the philosophy of mathematics. The insights included in this volume will interest scholars and students in the philosophy of mathematics, the philosophy of science, and the history of philosophy.
Overall, the essays in this volume show not only that the prehistory of mathematical structuralism is much richer than commonly appreciated, but also that it is crucial to take into account this broader intellectual history for enriching current debates in the philosophy of mathematics. The insights included in this volume will interest scholars and students in the philosophy of mathematics, the philosophy of science, and the history of philosophy.
Originalsprache  Englisch 

Erscheinungsort  Oxford 
Verlag  Oxford University Press 
Seitenumfang  472 
ISBN (Print)  9780190641221 
Publikationsstatus  Veröffentlicht  21 Juli 2020 
ÖFOS 2012
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 1 Abgeschlossen

Structuralism: The Roots of Mathematical Structuralism
Schiemer, G. & Kolowrat, F.
1/03/17 → 28/02/22
Projekt: Forschungsförderung