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 |dOCLCQ|dOH1 049 STJJ 050 4 QA8.4|b.P74 2020 082 04 510/.1|223 099 WORLD WIDE WEB|aE-BOOK|aOXFORD 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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