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The Space of Mathematics : Philosophical, Epistemological, and Historical Explorations :  Philosophical, Epistemological, and Historical Explorations - Javier Echeverria

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

Philosophical, Epistemological, and Historical Explorations

By: Javier Echeverria (Editor), Andoni Ibarra (Editor), Thomas Mormann (Editor)

Hardcover Published: 1992
ISBN: 9783110132496
Number Of Pages: 438
For Ages: 22+ years old

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Acknowledgments
Introductory afterthoughts
Structural Dimensionsp. 1
The Protean Character of Mathematicsp. 3
Categories of Space and of Quantityp. 14
Structural Analogies Between Mathematical and Empirical Theoriesp. 31
Reduction and Explanation: Science vs. Mathematicsp. 47
Reality, Truth, and Confirmation in Mathematics - Reflections on the Quasi-empiricist Programmep. 60
Tacit Knowledge in Mathematical Theoryp. 79
Structure-similarity as a Cornerstone of the Philosophy of Mathematicsp. 91
Dimensions of Applicabilityp. 113
Applying Mathematics and the Indispensibility Argumentp. 115
Mathematical Structures and Physical Necessityp. 132
The Role of Mathematics in Physical Sciencep. 141
The Status of Set-theoretic Axioms in Empirical Theoriesp. 156
Suppes Predicates for Classical Physicsp. 168
Mathematics in Philosophyp. 192
Historical Dimensionsp. 203
Are There Revolutions in Mathematics?p. 205
Observations, Problems, and Conjectures in Number Theory - The History of the Prime Number Theoremp. 230
Historical Aspects of the Foundations of Error Theoryp. 253
A Structuralist View of Lagrange's Algebraic Analysis and the German Combinatorial Schoolp. 280
Constructivism and Objects of Mathematical Theoryp. 296
Turing's "Oracle": From Absolute to Relative Computability - And Backp. 314
Computers and Mathematics: The Search for a Discipline of Computer Sciencep. 349
Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relationsp. 365
Theories and the Flow of Informationp. 367
Structuralism and Scientific Discoveryp. 379
Towards a Typology of Intertheoretical Relationsp. 403
Index of Namesp. 413
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110132496
ISBN-10: 3110132494
Series: Grundlagen der Kommunikation und Kognition/Foundations of Communication and Cognition
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 438
Published: 1992
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 24.13 x 16.51  x 2.54
Weight (kg): 0.74

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