TY - BOOK AU - BREGER,HERBERT AU - COSTA,NEWTON C.A.DA AU - DAUBEN,JOSEPH W. AU - DORIA,F.ANTONIO AU - ECHEVERRIA,JAVIER AU - Echeverria,Javier AU - FEFERMAN,SOLOMON AU - GRATTAN-GUINNESS,IVOR AU - HOWSON,COLIN AU - IBARRA,ANDONI AU - Ibarra,Andoni AU - JAHNKE,HANS NIELS AU - KNOBLOCH,EBERHARD AU - LAWVERE,F.WILLIAM AU - MACLANE,SAUNDERS AU - MAHONEY,MICHAEL S. AU - MORMANN,THOMAS AU - MOSTERIN,JESUS AU - MOULINES,C.ULISES AU - Mormann,Thomas AU - NIINILUOTO,ILKKA AU - RANTALA,VEIKKO AU - RESNIK,MICHAEL D. AU - SCHEIBE,ERHARD AU - SCHMIDT,HEINZ-JÜRGEN AU - SNEED,JOSEPH D. AU - TORRETTI,ROBERTO AU - ΟTTE,MICHAEL TI - The Space of Mathematics: Philosophical, Epistemological, and Historical Explorations T2 - Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition SN - 9783110132496 AV - QA8 .S63 1992eb U1 - 510 22 PY - 2012///] CY - Berlin, Boston : PB - De Gruyter, KW - Mathematics KW - History KW - Congresses KW - Philosophy KW - Geschichte KW - Kongress KW - Mathematik KW - Philosophie KW - San Sebastian ‹1990› KW - MATHEMATICS / General KW - bisacsh N1 - Frontmatter --; Table of Contents --; Acknowledgments --; Introductory afterthoughts --; Structural Dimensions --; 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 --; Dimensions of Applicability --; 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 --; Historical Dimensions --; 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 --; Global Dimensions of Knowledge: Information, Implementation, and Intertheoretic Relations --; Theories and the Flow of Information --; Structuralism and Scientific Discovery --; Towards a Typology of Intertheoretical Relations --; Index of Names --; 423-424; restricted access; Issued also in print UR - https://doi.org/10.1515/9783110870299 UR - https://www.degruyter.com/isbn/9783110870299 UR - https://www.degruyter.com/document/cover/isbn/9783110870299/original ER -