03672nam 22006371 450 991081588120332120230421054931.03-11-087029-010.1515/9783110870299(CKB)3390000000033847(SSID)ssj0000849487(PQKBManifestationID)11966514(PQKBTitleCode)TC0000849487(PQKBWorkID)10812926(PQKB)11659034(MiAaPQ)EBC3044136(DE-B1597)55276(OCoLC)979692948(DE-B1597)9783110870299(Au-PeEL)EBL3044136(CaPaEBR)ebr10782096(OCoLC)922947435(EXLCZ)99339000000003384719920717d1992 uy 0engurcnu||||||||txtccrThe space of mathematics philosophical, epistemological, and historical explorations /edited by Javier Echeverria, Andoni Ibarra, Thomas MormannReprint 2012Berlin ;New York :W. de Gruyter,1992.1 online resource (440 pages) illustrationsGrundlagen der Kommunikation und Kognition =Foundations of communication and cognitionRev. papers presented at a symposium on structures in mathematical theories, held in Sept. 1990 in Donostia/San Sebastian, Spain.3-11-178358-8 3-11-013249-4 Includes bibliographical references and index.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 Foundations of communication and cognition.MathematicsPhilosophyCongressesMathematicsHistoryCongressesMathematicsPhilosophyMathematicsHistory510CC 2600rvkEcheverría Javier352288Ibarra Andoni1646432Mormann Thomas1951-1646433MiAaPQMiAaPQMiAaPQBOOK9910815881203321The space of mathematics3993438UNINA