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The space of mathematics : philosophical, epistemological, and historical explorations /
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
W. de Gruyter,
1992.
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| Colección: | Foundations of communication and cognition.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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