Michael Otte

Analysis and Synthesis in Mathematics: History and Philosophy - Boston Studies in the Philosophy and History of Science Michael Otte Softcover reprint of the original 1st ed. 1997 edition

Marc Notes: Originally published: 1997.; Transferred to digital printing.; Includes bibliographical references and index. Review Quotes: ... is to be recommended to anyone interested in the history and philosophy of mathematics... historians of modern mathematics and even historians of modern science in general will greatly enjoy some of the excellent articles in its historial section.' ISIS, 91:1 (2000) Table of Contents: Introduction. I: History. 1. The Analytical Method in Descartes' Geometrie; G. Israel. 2. Arcanum artis inveniendi: Leibniz and Analysis; E. Pasini. 3. The Background to and Early Emergence of Euler's Analysis; C. Fraser. 4. Jacob Bernoulli on Analysis, Synthesis, and the Law of Large Numbers; E. D. Sylla. 5. Mathematical Analysis and Analytical Science; C. Alvarez Jimenez. 6. The Analysis of the Synthesis of the Analysis ... Two Moments of a Chiasmus: Viete and Fourier; J. Dhombres. 7. Styles of Argumentation in Late 19th Century; M. Epple. II: Philosophy. 8. From backward Reduction to Configurational Analysis; P. Maenpaa. 9. Analysis, Hermeneutics, Mathematics; J.-M. Salanskis. 10. Science within Reason: Is There a Crisis of the Modern Sciences? R. Tieszen. 11. Mathematics as an Activity and the Analytic-Synthetic Distinction; M. Otte, M. Panza. 12. Mathematical Acts of Reasoning as Synthetic a priori; M. Panza. 13. Analysis and Synthesis in Mathematics from the Perspective of Charles S. Peirce's Philosophy; M. Otte. III: History and Philosophy. 14. Classical Sources for the Concepts of Analysis and Synthesis; M. Panza. Bibliography. Index of Names. Publisher Marketing: Discusses the main interpretations of the classical distinction between analysis and synthesis with respect to mathematics. This work discusses this aspect from a historical point of view, by considering different examples from the history of mathematics. Then, the question is considered from a philosophical point of view.