The Space of Mathematics : : Philosophical, Epistemological, and Historical Explorations /

The Space of Mathematics : : Philosophical, Epistemological, and Historical Explorations / / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann.

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Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
MitwirkendeR:
BREGER, HERBERT,
COSTA, NEWTON C. A. DA,
DAUBEN, JOSEPH W.,
DORIA, F. ANTONIO,
ECHEVERRIA, JAVIER,
FEFERMAN, SOLOMON,
GRATTAN-GUINNESS, IVOR,
HOWSON, COLIN,
IBARRA, ANDONI,
JAHNKE, HANS NIELS,
KNOBLOCH, EBERHARD,
LAWVERE, F. WILLIAM,
MACLANE, SAUNDERS,
MAHONEY, MICHAEL S.,
MORMANN, THOMAS,
MOSTERIN, JESUS,
MOULINES, C. ULISES,
NIINILUOTO, ILKKA,
RANTALA, VEIKKO,
RESNIK, MICHAEL D.,
SCHEIBE, ERHARD,
SCHMIDT, HEINZ-JÜRGEN,
SNEED, JOSEPH D.,
TORRETTI, ROBERTO,
ΟTTE, MICHAEL,
HerausgeberIn:
Echeverria, Javier,
Ibarra, Andoni,
Mormann, Thomas,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2012]
©1992
Year of Publication:2012
Edition:Reprint 2012
Language:English
Series:Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition
Online Access:
Physical Description:1 online resource (422 p.)
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Table of 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
  • 423-424

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