Chemla, Karine Carole (Editor)
Chorlay, Renaud (Editor)
Rabouin, David (Editor)
Oxford University Press
Physical Details: 529 pages
Language: English
Generality is a key value in scientific discourses and practices. Throughout history, it has received a variety of meanings and of uses. This collection of original essays aims to inquire into this diversity. Through case studies taken from the history of mathematics, physics and the life sciences, the book provides evidence of different ways of understanding the general in various contexts. It aims at showing how collectives have valued generality and how they have worked with specific types of "general" entities, procedures, and arguments. The books connects history and philosophy of mathematics and the sciences at the intersection of two of the most fruitful contemporary lines of research: historical epistemology, in which values (e.g. "objectivity", "accuracy") are studied from a historical viewpoint; and the philosophy of scientific practice, in which conceptual developments are seen as embedded in networks of social, instrumental, and textual practices. Each chapter provides a self-contained case-study, with a clear exposition of the scientific content at stake. The collection covers a wide range of scientific domains - with an emphasis on mathematics - and historical periods. It thus allows a comparative perspective which suggests a non-linear pattern for a history of generality. The introductory chapter spells out the key issues and points to the connections between the chapters.
...MoreReview Vincenzo De Risi (2017) Review of "The Oxford Handbook of Generality in Mathematics and the Sciences". Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period (pp. 399-403).
Review David E. Rowe (2017) Review of "The Oxford Handbook of Generality in Mathematics and the Sciences". Isis: International Review Devoted to the History of Science and Its Cultural Influences (pp. 872-873).
Chapter Evelyne Barbin (2016) Universality versus Generality: An Interpretation of the Dispute over Tangents between Descartes and Fermat. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Evelyn Fox Keller (2016) Practices of Generalization in Mathematical Physics, in Biology, and in Evolution. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Karine Chemla; Renaud Chorlay; David Rabouin (2016) Prologue: Generality as a Component of an Epistemological Culture. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Stephane Schmitt (2016) Homology: An Expression of Generality in the Life Sciences. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Jean-Gael Barbara (2016) Biological Generality: General Anatomy from Xavier Bichat to Louis Ranvier. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Jacqueline Boniface (2016) Kummer's Generalization of Arithmetical Properties as Applied to Certain Complex Numbers. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Frederic Jaeck (2016) Structures in Functional Analysis and Generality in Banach's Ph.D. Dissertation. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Anne Robadey (2016) Elaboration of a Statement on the Degree of Generality of a Property: Poincare's Work on Recurrence Theorem. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Emily Grosholz (2016) Leibnizian Analysis, Canonical Objects, and Generlization. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Igor Ly (2016) Generality and Generalization in Poincare's Philosophy. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Tatiana Roque (2016) Different Notions of Genericity in the Classification Problem of Dynamical Systems. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Frederic Brechenmacher (2016) Algebraic Generality versus Arithmetic Generality in the Controversy between C. Jordan and L. Kronecker (1874). In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter David Rabouin (2016) The Problem of a "General" Theory in Mathematics: Aristotle and Euclid. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Yves Cambefort (2016) How General are Genera? The Genus in Systematic Zoology. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Olivier Darrigol (2016) Models, Structure and the Generality in Clerk Maxwell's Theory of Electromagnetism. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Karine Chemla (2016) The Value of Generality in Michel Chasles's Historiography of Geometry. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Eberhard Knobloch (2016) Generality in Leibniz's Mathematics. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
Chapter Renaud Chorlay (2016) Questions of Generality as Probes into Nineteenth Century Analysis. In: The Oxford Handbook of Generality in Mathematics and the Sciences.
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