Title | The Growth of Mathematical Knowledge [electronic resource] / edited by Emily Grosholz, Herbert Breger |
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Imprint | Dordrecht : Springer Netherlands : Imprint: Springer, 2000 |
Connect to | http://dx.doi.org/10.1007/978-94-015-9558-2 |
Descript | XLII, 416 p. online resource |
Knowledge of Functions in the Growth of Mathematical Knowledge -- Huygens and the Pendulum: From Device to Mathematical Relation -- An Empiricist Philosophy of Mathematics and Its Implications for the History of Mathematics -- The Mathematization of Chance in the Middle of the 17th Century -- Mathematical Empiricism and the Mathematization of Chance: Comment on Gillies and Schneider -- The Partial Unification of Domains, Hybrids, and the Growth of Mathematical Knowledge -- Hamilton-Jacobi Methods and Weierstrassian Field Theory in the Calculus of Variations -- On Mathematical Explanation -- Mathematics and the Reelaboration of Truths -- Penrose and Platonism -- On the Mathematics of Spilt Milk -- The Growth of Mathematical Knowledge: An Open World View -- Controversies about Numbers and Functions -- Epistemology, Ontology, and the Continuum -- Tacit Knowledge and Mathematical Progress -- The Quadrature of Parabolic Segments 1635โ1658: A Response to Herbert Breger -- Mathematical Progress: Ariadneโs Thread -- Voir-Dire in the Case of Mathematical Progress -- The Nature of Progress in Mathematics: the Significance of Analogy -- Analogy and the Growth of Mathematical Knowledge -- Evolution of the Modes of Systematization of Mathematical Knowledge -- Geometry, the First Universal Language of Mathematics -- Mathematical Progress -- Some Remarks on Mathematical Progress from a Structuralistโs Perspective -- Scientific Progress and Changes in Hierarchies of Scientific Disciplines -- On the Progress of Mathematics -- Attractors of Mathematical Progress: the Complex Dynamics of Mathematical Research -- On Some Determinants of Mathematical Progress