The Space of Mathematics

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Frontmatter -- Table of Contents -- Acknowledgments -- Introductory afterthoughts -- Structural Dimensions -- The Protean Character of Mathematics / MACLANE, SAUNDERS -- Categories of Space and of Quantity / LAWVERE, F. WILLIAM -- Structural Analogies Between Mathematical and Empirical Theories / IBARRA, ANDONI / MORMANN, THOMAS -- Reduction and Explanation: Science vs. Mathematics / RANTALA, VEIKKO -- Reality, Truth, and Confirmation in Mathematics Reflections on the Quasi-Empiricist Programme / NIINILUOTO, ILKKA -- Tacit Knowledge in Mathematical Theory / BREGER, HERBERT -- Structure-Similarity as a Cornerstone of the Philosophy of Mathematics / GRATTAN-GUINNESS, IVOR -- Dimensions of Applicability -- Applying Mathematics and the Indispensability Argument / RESNIK, MICHAEL D. -- Mathematical Structures and Physical Necessity / TORRETTI, ROBERTO -- The Role of Mathematics in Physical Science / SCHEIBE, ERHARD -- The Status of Set-theoretic Axioms in Empirical Theories / SCHMIDT, HEINZ-JÜRGEN -- Suppes Predicates for Classical Physics / COSTA, NEWTON C. A. DA / DORIA, F. ANTONIO -- Mathematics in Philosophy / HOWSON, COLIN -- Historical Dimensions -- Are There Revolutions in Mathematics? / DAUBEN, JOSEPH W. -- Observations, Problems and Conjectures in Number Theory The History of the Prime Number Theorem / ECHEVERRIA, JAVIER -- Historical Aspects of the Foundations of Error Theory / KNOBLOCH, EBERHARD -- A Structuralist View of Lagrange's Algebraic Analysis and the German Combinatorial School / JAHNKE, HANS NIELS -- Constructivism and Objects of Mathematical Theory / OTTE, MICHAEL -- Turing's Oracle: From Absolute to Relative Computability and Back / FEFERMAN, SOLOMON -- Computers and Mathematics: The Search for a Discipline of Computer Science / MAHONEY, MICHAEL S. -- Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations -- Theories and the Flow of Information / MOSTERIN, JESUS -- Structuralism and Scientific Discovery / SNEED, JOSEPH D. -- Towards a Typology of Intertheoretical Relations / MOULINES, C. ULISES -- Index of Names -- Backmatter

Autorentext
Bischof Javier Echevarría, 1932 in Madrid geboren, wurde 1955 zum Priester geweiht. Bis 1975 war er Sekretär des 2002 heilig gesprochenen Josemaría Escrivá, Gründer des Opus Dei. Nach dem Tode Alvaro del Portillos, des ersten Nachfolgers Escrivás, wurde er 1994 an die Spitze des Opus Dei gewählt. Papst Johannes Paul II. erteilte ihm im Januar 1995 die Bischofsweihe. Bischof Echevarría gehört mehreren römischen Kongregationen an. Seine geistlichen Schriften sind weltweit verbreitet.