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The Growth of Mathematical Knowledge - pocketboek

2010, ISBN: 9048153913

[EAN: 9789048153916], Neubuch, [SC: 0.0], [PU: Springer Netherlands], HISTORY OF MATHEMATICS; LUDWIG WITTGENSTEIN; AXIOMATIZATION; EPISTEMOLOGY; PHILOSOPHY MATHEMATICS, Druck auf Anfrage … Meer...

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Emily Grosholz; Herbert Breger:

The Growth of Mathematical Knowledge - pocketboek

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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… Meer...

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ISBN: 9789048153916

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… Meer...

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The Growth of Mathematical Knowledge (Synthese Library) - pocketboek

2010, ISBN: 9789048153916

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2010, ISBN: 9789048153916

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The Growth of Mathematical Knowledge

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.

Gedetalleerde informatie over het boek. - The Growth of Mathematical Knowledge


EAN (ISBN-13): 9789048153916
ISBN (ISBN-10): 9048153913
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
472 Bladzijden
Gewicht: 0,707 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-08-25T21:27:20+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-05-31T20:00:01+02:00 (Amsterdam)
ISBN/EAN: 9789048153916

ISBN - alternatieve schrijfwijzen:
90-481-5391-3, 978-90-481-5391-6


Gegevens van de uitgever

Auteur: Emily Grosholz; Herbert Breger
Titel: Synthese Library; The Growth of Mathematical Knowledge - Studies in Epistemology, Logic, Methodology, and Philosophy of Science
Uitgeverij: Springer; Springer Netherland
416 Bladzijden
Verschijningsjaar: 2010-12-09
Dordrecht; NL
Gedrukt / Gemaakt in
Gewicht: 0,709 kg
Taal: Engels
181,89 € (DE)
186,99 € (AT)
200,50 CHF (CH)
POD
XLII, 416 p.

BC; Previously published in hardcover; Hardcover, Softcover / Philosophie/Allgemeines, Lexika; Philosophie: Logik; Verstehen; History of Mathematics; Ludwig Wittgenstein; axiomatization; epistemology; mathematics; philosophy of mathematics; B; Logic; 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; Religion and Philosophy; Geschichte der Mathematik; Mathematik: Logik; Mathematische Grundlagen; Wissenschaftsphilosophie und -theorie; Geschichte; Geschichtsschreibung, Historiographie; BB

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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9789401595582 Growth of Mathematical Knowledge (Herbert Breger; Emily Grosholz)


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