Projects per year
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.
Original language  English 

Title of host publication  The Prehistory of Mathematical Structuralism 
Editors  Erich H. Reck, Georg Schiemer 
Publisher  Oxford University Press 
Pages  120 
Number of pages  20 
ISBN (Print)  9780190641221 
Publication status  Published  21 Jul 2020 
Austrian Fields of Science 2012
 603109 Logic
Projects
 1 Finished

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