| Description |
1 online resource (469 pages) |
| Series |
Logic and Computation in Philosophy |
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Logic and computation in philosophy.
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| 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 '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 |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Online resource; title from digital title page (viewed on April 28, 2020) |
| Subject |
Mathematics -- Philosophy.
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Analysis (Philosophy) -- History
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History & Philosophy.
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MATHEMATICS.
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Logic.
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PHILOSOPHY.
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Modern.
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History & Surveys.
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Analysis (Philosophy)
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Mathematics -- Philosophy
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| Genre/Form |
History
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| Form |
Electronic book
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| Author |
Reck, Erich H., 1959- editor
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|
Schiemer, Georg, editor.
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| ISBN |
0190090774 |
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9780190641238 |
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0190641231 |
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9780190090777 |
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9780190641245 |
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019064124X |
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