| Description |
1 online resource (xvi, 422 pages) : illustrations |
| Series |
Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition |
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Foundations of communication and cognition.
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| Contents |
Table of Contents -- Acknowledgments -- Introductory afterthoughts -- 1. Structural Dimensions -- The Protean Character of Mathematics -- Categories of Space and of Quantity -- Structural Analogies Between Mathematical and Empirical Theories -- Reduction and Explanation: Science vs. Mathematics -- Reality, Truth, and Confirmation in Mathematics � Reflections on the Quasi-empiricist Programme -- Tacit Knowledge in Mathematical Theory -- Structure-similarity as a Cornerstone of the Philosophy of Mathematics -- 2. Dimensions of Applicability |
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Applying Mathematics and the Indispensibility ArgumentMathematical Structures and Physical Necessity -- The Role of Mathematics in Physical Science -- The Status of Set-theoretic Axioms in Empirical Theories -- Suppes Predicates for Classical Physics -- Mathematics in Philosophy -- 3. Historical Dimensions -- Are There Revolutions in Mathematics? -- Observations, Problems, and Conjectures in Number Theory � The History of the Prime Number Theorem -- Historical Aspects of the Foundations of Error Theory |
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A Structuralist View of Lagrange�s Algebraic Analysis and the German Combinatorial SchoolConstructivism and Objects of Mathematical Theory -- Turing�s “Oracle�: From Absolute to Relative Computability � And Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- 4. Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names |
| Notes |
Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Mathematics -- Philosophy -- Congresses
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Mathematics -- History -- Congresses
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Mathematics
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Mathematics -- Philosophy
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Mathématiques.
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| Genre/Form |
Conference papers and proceedings
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History
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| Form |
Electronic book
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| Author |
Echeverría, Javier
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Ibarra, Andoni
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Mormann, Thomas, 1951-
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| ISBN |
9783110870299 |
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3110870290 |
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