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Title The space of mathematics : philosophical, epistemological, and historical explorations / edited by Javier Echeverria, Andoni Ibarra, Thomas Mormann.
Imprint Berlin ; New York : W. de Gruyter, 1992.

Series Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition.
Foundations of communication and cognition.
Subject Mathematics -- Philosophy -- Congresses.
Mathematics -- History -- Congresses.
Alt Name Echeverría, Javier.
Ibarra, Andoni.
Mormann, Thomas, 1951-
Series Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition.
Foundations of communication and cognition.
Subject Mathematics -- Philosophy -- Congresses.
Mathematics -- History -- Congresses.
Alt Name Echeverría, Javier.
Ibarra, Andoni.
Mormann, Thomas, 1951-
Description 1 online resource (xvi, 422 pages) : illustrations.
polychrome rdacc
Note Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain.
Bibliography Note Includes bibliographical references and index.
Note Print version record.
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
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
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
ISBN 9783110870299 (electronic bk.)
3110870290 (electronic bk.)
3110132494
9783110132496
OCLC # 858282431
Additional Format Print version: Space of mathematics 3110132494 (DLC) 92026535 (OCoLC)26363933.


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