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 'prehistory' 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 reexamine a range of philosophical reflections from mathematicallyinclinded 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) 
