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Record Nr. |
UNINA9910815881203321 |
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Titolo |
The space of mathematics : philosophical, epistemological, and historical explorations / / edited by Javier Echeverria, Andoni Ibarra, Thomas Mormann |
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Pubbl/distr/stampa |
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Berlin ; ; New York : , : W. de Gruyter, , 1992 |
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ISBN |
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Edizione |
[Reprint 2012] |
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Descrizione fisica |
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1 online resource (440 pages) : illustrations |
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Collana |
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Grundlagen der Kommunikation und Kognition = Foundations of communication and cognition |
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Classificazione |
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Altri autori (Persone) |
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EcheverríaJavier |
IbarraAndoni |
MormannThomas <1951-> |
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Disciplina |
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Soggetti |
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Mathematics - Philosophy |
Mathematics - History |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 – |
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