The space of mathematics : philosophical, epistemological, and historical explorations /

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Bibliographic Details
Call Number:Libro Electrónico
Other Authors: Echeverría, Javier, Ibarra, Andoni, Mormann, Thomas, 1951-
Format: Electronic eBook
Language:Inglés
Published: Berlin ; New York : W. de Gruyter, 1992.
Series:Foundations of communication and cognition.
Subjects:
Mathematics > Philosophy > Congresses.
Mathematics > History > Congresses.
Mathématiques > Philosophie > Congrès.
Mathématiques > Histoire > Congrès.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Mathematics
Mathematics > Philosophy
Mathématiques.
Conference papers and proceedings
History
Online Access:Texto completo
Table of 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 â€? 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 â€? The History of the Prime Number Theorem
  • Historical Aspects of the Foundations of Error Theory
  • A Structuralist View of Lagrangeâ€?s Algebraic Analysis and the German Combinatorial SchoolConstructivism and Objects of Mathematical Theory
  • Turingâ€?s “Oracleâ€?: From Absolute to Relative Computability â€? 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

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