Introduction and Overview: The Prehistory of Mathematical Structuralism

Georg Schiemer, Erich Reck

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Abstract

This edited volume of new essays by top scholars in the philosophy of mathematics explores this previously overlooked 'pre-history' 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 pre-history 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 languageEnglish
Title of host publicationThe Prehistory of Mathematical Structuralism
EditorsErich H. Reck, Georg Schiemer
PublisherOxford University Press
Pages1-20
Number of pages20
ISBN (Print)9780190641221
Publication statusPublished - 21 Jul 2020

Austrian Fields of Science 2012

  • 603109 Logic

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