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LEADER 00000cam  2200517Ii 4500 
001    on1152069811 
003    OCoLC 
005    20200704012237.0 
006    m     o  d         
007    cr cnu---unuuu 
008    200425s2020    nyu     ob    001 0 eng d 
020    0190090774|q(electronic book) 
020    9780190641238|q(electronic book) 
020    0190641231|q(electronic book) 
020    9780190090777|q(electronic book) 
020    |z9780190641221|q(print) 
035    (OCoLC)1152069811 
040    EBLCP|beng|erda|epn|cEBLCP|dYDXIT|dN$T|dUBY|dOCLCF|dUKOUP
049    STJJ 
050  4 QA8.4|b.P74 2020 
082 04 510/.1|223 
245 04 The prehistory of mathematical structuralism /|cedited by 
       Erich H. Reck and Georg Schiemer. 
264  1 New York, Ny :|bOxford University Press,|c[2020] 
300    1 online resource (469 pages). 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
490 1  Logic and Computation in Philosophy 
504    Includes bibliographical references and indexes. 
505 0  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. 
520    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. 
588 0  Online resource; title from digital title page (viewed on 
       April 28, 2020). 
650  0 Mathematics|xPhilosophy. 
650  0 Analysis (Philosophy)|xHistory. 
650  7 Analysis (Philosophy)|2fast|0(OCoLC)fst00808323 
650  7 Mathematics|xPhilosophy.|2fast|0(OCoLC)fst01012213 
655  7 History.|2fast|0(OCoLC)fst01411628 
700 1  Reck, Erich H.,|d1959-|eeditor. 
700 1  Schiemer, Georg,|eeditor. 
700 1  Schiemer, Georg. 
776 08 |iPrint version:|aReck, Erich H.|tPrehistory of 
       Mathematical Structuralism.|dOxford : Oxford University 
       Press USA - OSO, ©2020 
830  0 Logic and computation in philosophy. 
994    C0|bSTJ 
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