
The Oxford Handbook of Generality in Mathematics and the Sciences
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Content
- 1: Karine Chemla, Renaud Chorlay, David Rabouin: Prologue: Generality as a Component of an Epistemological Culture
- Part I: The Meaning of Value of Generality
- 2: Karine Chemla: The Value of Generality in Michel Chasles's Historiography of Geometry
- 3: Eberhard Knobloch: Generality in Leibniz's Mathematics
- 4: David Rabouin: The Problem of a "General" Theory in Mathematics: Aristotle and Euclid
- 5: Igor Ly: Generality and Generalization in Poincaré's Philosophy
- Part II: Statements and Concepts: The Formulation of the General
- 6: Anne Robadey: Elaboration of a Statement on the Degree of Generality of a Property: Poincaré's Work on Recurrence Theorem
- 7: Frédéric Jaëck: Structures in Functional Analysis and Generality in Banach's Ph.D. Dissertation
- 8: Yves Cambefort: How General are Genera? The Genus in Systematic Zoology
- 9: Stéphane Schmitt: Homology: An Expression of Generality in the Life Sciences
- 10: Tatiana Roque: Different Notions of Genericity in the Classification Problem of Dynamical Systems
- Part III: Practices of Generality
- 11: Emily Grosholz: Leibnizian Analysis, Canonical Objects, and Generlization
- 12: Olivier Darrigol: Models, Structure and the Generality in Clerk Maxwell's Theory of Electromagnetism
- 13: Jean-Gaël Barbara: Biological Generality: General Anatomy from Xavier Bichat to Louis Ranvier
- 14: Renaud Chorlay: Questions of Generality as Probes into Nineteenth Century Analysis
- 15: Evelyne Barbin: Universality versus Generality: An Interpretation of the Dispute over Tangents between Descartes and Fermat
- 16: Frédéric Brechenmacher: Algebraic Generality versus Arithmetic Generality in the Controversy between C. Jordan and L. Kronecker (1874)
- 17: Evelyn Fox Keller: Practices of Generalization in Mathematical Physics, in Biology, and in Evolution
- 18: Jacqueline Boniface: Kummer's Generalization of Arithmetical Properties as Applied to Certain Complex Numbers
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