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

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
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HerausgeberIn:
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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Description
Other title: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
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110870299
9783110637199
DOI:10.1515/9783110870299
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann.