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[EAN: 9780792361510], Neubuch, [SC: 0.0], [PU: Springer Netherlands], HISTORYOFMATHEMATICS; LUDWIGWITTGENSTEIN; AXIOMATIZATION; EPISTEMOLOGY; MATHEMATICS; PHILOSOPHYOFMATHEMATICS, Druck a… Mehr…

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ISBN: 9780792361510

Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, gar… Mehr…

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Mathematics has stood as a bridge between the Humanities and the Sciences since the days of classical antiquity. For Plato, mathematics was evidence of Being in the midst of Becoming, gar… Mehr…

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The Growth of Mathematical Knowledge Emily Grosholz Editor

This book draws its inspiration from Hilbert, Wittgenstein, Cavaillès and Lakatos and is designed to reconfigure contemporary philosophy of mathematics by making the growth of knowledge rather than its foundations central to the study of mathematical rationality, and by analyzing the notion of growth in historical as well as logical terms. Not a mere compendium of opinions, it is organised in dialogical forms, with each philosophical thesis answered by one or more historical case studies designed to support, complicate or question it. The first part of the book examines the role of scientific theory and empirical fact in the growth of mathematical knowledge. The second examines the role of abstraction, analysis and axiomatization. The third raises the question of whether the growth of mathematical knowledge constitutes progress, and how progress may be understood. Readership: Students and scholars concerned with the history and philosophy of mathematics and the formal sciences.

Detailangaben zum Buch - The Growth of Mathematical Knowledge Emily Grosholz Editor


EAN (ISBN-13): 9780792361510
ISBN (ISBN-10): 0792361512
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2000
Herausgeber: Springer Netherlands Core >2 >T
476 Seiten
Gewicht: 0,871 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-12-24T08:16:23+01:00 (Zurich)
Detailseite zuletzt geändert am 2024-03-25T16:55:31+01:00 (Zurich)
ISBN/EAN: 0792361512

ISBN - alternative Schreibweisen:
0-7923-6151-2, 978-0-7923-6151-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: grosholz, breger herbert, herbert may, ludwig wittgenstein, descartes, plato, emily small, emily reason
Titel des Buches: growth mathematical knowledge, grosholz


Daten vom Verlag:

Autor/in: Emily Grosholz; Herbert Breger
Titel: Synthese Library; The Growth of Mathematical Knowledge
Verlag: Springer; Springer Netherland
416 Seiten
Erscheinungsjahr: 2000-01-31
Dordrecht; NL
Gewicht: 1,850 kg
Sprache: Englisch
235,39 € (DE)
241,99 € (AT)
260,00 CHF (CH)
POD
XLII, 416 p.

BB; Logic; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Philosophie: Logik; Verstehen; History of Mathematics; Ludwig Wittgenstein; axiomatization; epistemology; mathematics; philosophy of mathematics; History of Mathematical Sciences; Mathematical Logic and Foundations; Philosophy of Science; History, general; Logic; History of Mathematical Sciences; Mathematical Logic and Foundations; Philosophy of Science; History; Geschichte der Mathematik; Mathematik: Logik; Mathematische Grundlagen; Wissenschaftsphilosophie und -theorie; Geschichte; Geschichtsschreibung, Historiographie; BC; EA

Acknowledgments. Introduction. Notes on Contributors. Part I: The Question of Empiricism. The Role of Scientific Theory and Empirical Fact in the Growth of Mathematical Knowledge. 1. Knowledge of Functions in the Growth of Mathematical Knowledge; J. Hintikka. Huygens and the Pendulum: From Device to Mathematical Relation; M.S. Mahoney. 2. An Empiricist Philosophy of Mathematics and Its Implications for the History of Mathematics; D. Gillies. The Mathematization of Chance in the Middle of the 17th Century; I. Schneider. Mathematical Empiricism and the Mathematization of Chance: Comment on Gillies and Schneider; M. Liston. 3. The Partial Unification of Domains, Hybrids, and the Growth of Mathematical Knowledge; E. Grosholz. Hamilton-Jacobi Methods and Weierstrassian Field Theory in the Calculus of Variations; C. Fraser. 4. On Mathematical Explanation; P. Mancosu. Mathematics and the Reelaboration of Truths; F. de Gandt. 5. Penrose and Platonism; M. Steiner. On the Mathematics of Spilt Milk; M. Wilson. Part II: The Question of Formalism. The Role of Abstraction, Analysis, and Axiomatization in the Growth of Mathematical Knowledge. 1. The Growth of Mathematical Knowledge: An Open World View; C. Cellucci. Controversies about Numbers and Functions; D. Laugwitz. Epistemology, Ontology, and the Continuum; C. Posy. 2. Tacit Knowledge and Mathematical Progress; H. Breger. The Quadrature of Parabolic Segments 1635-1658: A Response to Herbert Breger; M.M. Muntersbjorn. Mathematical Progress: Ariadne's Thread; M. Liston. Voir-Dire in the Case of Mathematical Progress; C. Mclarty. 3. The Nature of Progress in Mathematics: The Significance of Analogy; H. Sinaceur. Analogy and the Growth of Mathematical Knowledge; E. Knobloch. 4. Evolution of the Modes of Systematization of Mathematical Knowledge; A. Barabashev. Geometry, the First Universal Language of Mathematics; I. Bashmakova, G.S. Smirnova. Part II: The Question of Progress. Criteria for and Characterizations of Progress in Mathematical Knowledge. 1. Mathematical Progress; P. Maddy. Some Remarks on Mathematical Progress from a Structuralist's Perspective; M.D. Resnik. 2. Scientific Progress and Changes in Hierarchies of Scientific Disciplines; V. Peckhaus. On the Progress of Mathematics; S. Demidov. Attractors of Mathematical Progress: The Complex Dynamics of Mathematical Research; K. Mainzer. On Some Determinants of Mathematical Progress; C. Thiel.

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