The space of mathematics : philosophical, epistemological, and historical explorations / edited by Javier Echeverria, Andoni Ibarra, Thomas Mormann.

Format
Book
Language
English
Εdition
Reprint 2012
Published/​Created
Berlin ; New York : W. de Gruyter, 1992.
Description
1 online resource (440 pages) : illustrations.

Details

Subject(s)
Related name
Series
  • Foundations of communication and cognition. [More in this series]
  • Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition
Notes
Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain.
Bibliographic references
Includes bibliographical references and index.
Source of description
Description based on print version record.
Language note
English
Contents
  • Frontmatter
  • Table of Contents
  • Acknowledgments
  • Introductory afterthoughts
  • 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
  • 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
  • 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
  • Theories and the Flow of Information
  • Structuralism and Scientific Discovery
  • Towards a Typology of Intertheoretical Relations
  • Index of Names
  • 423-424
Other format(s)
Issued also in print.
ISBN
3-11-087029-0
OCLC
  • 979692948
  • 922947435
Doi
  • 10.1515/9783110870299
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