The space of mathematics : philosophical, epistemological, and historical explorations / / edited by Javier Echeverria, Andoni Ibarra, Thomas Mormann

• Pubblicazione: Berlin ; ; New York : , : W. de Gruyter, , 1992
• Edizione: Reprint 2012
• Descrizione fisica: 1 online resource (440 pages) : illustrations
• Disciplina: 510
• Soggetto topico: Mathematics - Philosophy; Mathematics - History
• Classificazione: CC 2600
• Altri autori: EcheverríaJavier IbarraAndoni MormannThomas <1951->
• Note generali: Rev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 – and Back -- Computers and Mathematics: The Search for a Discipline of Computer Science -- Theories and the Flow of Information -- Structuralism and Scientific Discovery -- Towards a Typology of Intertheoretical Relations -- Index of Names -- 423-424
• Titolo autorizzato: The space of mathematics
• ISBN: 3-11-087029-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910815881203321
• Lo trovi qui: Univ. Federico II
• Serie: Foundations of communication and cognition.