The Space of Mathematics : : Philosophical, Epistemological, and Historical Explorations / / ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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MitwirkendeR: | |
HerausgeberIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©1992 |
Năm xuất bản: | 2012 |
Phiên bản: | Reprint 2012 |
Ngôn ngữ: | English |
Loạt: | Grundlagen der Kommunikation und Kognition / Foundations of Communication and Cognition
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Truy cập trực tuyến: | |
Mô tả vật lý: | 1 online resource (422 p.) |
Các nhãn: |
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Other title: | 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 |
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Định dạng: | Mode of access: Internet via World Wide Web. |
số ISBN: | 9783110870299 9783110637199 |
DOI: | 10.1515/9783110870299 |
Truy cập: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | ed. by Andoni Ibarra, Javier Echeverria, Thomas Mormann. |