Screen LibraryThe space of mathematics : philosophical, epistemological, and historical explorations /
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| Corporate Authors: | ; |
|---|---|
| Group Author: | ; ; |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin ; Boston : |
| Publication Dates: |
2012. ©1992 |
| Literature type: | eBook |
| Language: | English |
| Series: |
Grundlagen der kommunikation und kognition / foundations of communication and cognition
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110870299 http://www.degruyter.com/doc/cover/9783110870299.jpg |
| Item Description: | Includes index. |
| Carrier Form: | 1 online resource (xvi, 422 pages). |
| ISBN: | 9783110870299 |
| Index Number: | QA8 |
| CLC: | O1-532 |
| Contents: |
Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- 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 -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument -- Mathematical 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 -- 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 School -- Constructivism 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 -- 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 -- Backmatter |