Description 
1 online resource (469 pages) 
Series 
Logic and Computation in Philosophy 

Logic and computation in philosophy.

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 
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 
Bibliography 
Includes bibliographical references and indexes 
Notes 
Online resource; title from digital title page (viewed on April 28, 2020) 
Subject 
Mathematics  Philosophy.


Analysis (Philosophy)  History


Analysis (Philosophy)


Mathematics  Philosophy

Genre/Form 
History

Form 
Electronic book

Author 
Reck, Erich H., 1959 editor.


Schiemer, Georg, editor.

ISBN 
0190090774 

9780190641238 

0190641231 

9780190090777 

9780190641245 

019064124X 
