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Title The prehistory of mathematical structuralism / edited by Erich H. Reck and Georg Schiemer.

Publication Info. New York, Ny : Oxford University Press, [2020]


Location Call No. Status
 University of Saint Joseph: Pope Pius XII Library - Internet  WORLD WIDE WEB E-BOOK OXFORD    Downloadable
University of Saint Joseph patrons, please click here to access this OXFORD resource
Description 1 online resource (469 pages).
Series Logic and Computation in Philosophy
Logic and computation in philosophy.
Bibliography Includes bibliographical references and indexes.
Summary This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysic.
Note Online resource; title from digital title page (viewed on April 28, 2020).
Contents Introduction and overview -- I. MATHEMATICAL DEVELOPMENT -- Grassmann's concept structuralism -- Dedekind's mathematical structuralism: from Galois Theory to numbers, sets and functions -- Pasch's empiricism as methodological structuralism -- Transfer principles, Klein's erlangen program, and methodological structuralism -- The ways of Hilbert's axiomatics: structural and formal -- Noether as mathematical structuralist -- The functional roles of structures in Bourbaki -- Saunders MacLane: From Principlia Mathematics throught Göttingen to the working theory of structures -- II. LOGICAL AND PHILOSOPHICAL REFLECTIONS -- Logical relations and diagrammatic reasoning: structuralist elements in the work of Charles Saunders Peirce -- Poincaré and the prehistory of mathematical structuraism -- "If numbers are to be anything at all, they must be instrinsically something": Bertrand Russell and mathematical structuralism -- Cassirer's reception of Dedekind and the structuralist transformation of mathematics -- Methodological frames: Paul Bernays, mathematical structuralism, and proof theory -- Carnap's structuralist thesis -- Explication as elimination: W.V. Quine and mathematical structuralist -- Name index -- Subject index.
Subject Mathematics -- Philosophy.
Analysis (Philosophy) -- History.
Analysis (Philosophy) (OCoLC)fst00808323
Mathematics -- Philosophy. (OCoLC)fst01012213
Genre/Form History. (OCoLC)fst01411628
Added Author Reck, Erich H., 1959- editor.
Schiemer, Georg, editor.
Schiemer, Georg.
Other Form: Print version: Reck, Erich H. Prehistory of Mathematical Structuralism. Oxford : Oxford University Press USA - OSO, ©2020
ISBN 0190090774 (electronic book)
9780190641238 (electronic book)
0190641231 (electronic book)
9780190090777 (electronic book)
9780190641221 (print)
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