The Oxford handbook of generality in mathematics and the sciences / edited by Karine Chemla, Renaud Chorlay and David Rabouin.
Chemla, Karine, editor.; Chorlay, Renaud, editor.; Rabouin, David, editor.
2017
Q175 .O9 2017
Available Online

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Title The Oxford handbook of generality in mathematics and the sciences / edited by Karine Chemla, Renaud Chorlay and David Rabouin.
ISBN 9780191859243 (electronic book)
Published Oxford : Oxford University Press, 2017.
Language English
Description 1 online resource (xii, 507 pages) : illustrations.
Call Number Q175 .O9 2017
Dewey Decimal Classification 501
Summary This handbook examines how actors have valued generality in mathematics and the sciences and how they worked with specific types of 'general' entities, procedures, and arguments. Part I deals with the meaning and value of generality, and more specifically the value of generality in Michel Chasles's historiography of geometry and generality in Gottfried Leibniz's mathematics. Part II focuses on statements and concepts that make up the general, covering topics such as Henri Poincaré's work on the recurrence theorem and the role of genericity in the history of dynamical systems theory. Part III explores the practices of generality, including the dispute over tangents between René Descartes and Pierre de Fermat, generality in James Clerk Maxwell's theory of electromagnetism, and practices of generalization in mathematical physics, biology, and evolutionary strategies.
Note This handbook examines how actors have valued generality in mathematics and the sciences and how they worked with specific types of 'general' entities, procedures, and arguments. Part I deals with the meaning and value of generality, and more specifically the value of generality in Michel Chasles's historiography of geometry and generality in Gottfried Leibniz's mathematics. Part II focuses on statements and concepts that make up the general, covering topics such as Henri Poincaré's work on the recurrence theorem and the role of genericity in the history of dynamical systems theory. Part III explores the practices of generality, including the dispute over tangents between René Descartes and Pierre de Fermat, generality in James Clerk Maxwell's theory of electromagnetism, and practices of generalization in mathematical physics, biology, and evolutionary strategies.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Added Author Chemla, Karine, editor.
Chorlay, Renaud, editor.
Rabouin, David, editor.
Series Oxford handbooks.
Available in Other Form Print version: 9780198777267
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Prologue: generality as a component of an epistemological culture / Karine Chemla, Renaud Chorlay, David Rabouin
The role of genericity in the history of dynamical systems theory / Tatiana Roque
Leibnizian analysis, canonical objects, and generalization / Emily Grosholz
Models, structure, and generality in Clerk Maxwell's theory of electromagnetism / Olivier Darrigol
Biological generality: general anatomy from Xavier Bichat to Louis Ranvier / Jean- Gaël Barbara
Questions of generality as probes into nineteenth- century mathematical analysis / Renaud Chorlay
Universality versus generality: an interpretation of the dispute over tangents between Descartes and Fermat / Evelyne Barbin
Algebraic generality versus arithmetic generality in the 1874 controversy between C. Jordan and L. Kronecker / Frédéric Brechenmacher
Practices of generalization in mathematical physics, in biology, and in evolutionary strategies / Evelyn Fox Keller
A process of generalization: Kummer's creation of ideal numbers / Jacqueline Boniface
The value of generality in Michel Chasles's historiography of geometry / Karine Chemla
Generality in Leibniz's mathematics / Eberhard Knobloch
The problem of a “general” theory in mathematics: Aristotle and Euclid / David Rabouin
Generality, generalization, and induction in Poincaré's philosophy / Igor Ly
Elaboration of a statement on the degree of generality of a property: Poincaré's work on the recurrence theorem / Anne Robadey
Generality and structures in functional analysis: the influence of Stefan Banach / Frédéric Jaëck
How general are genera? The genus in systematic zoology / Yves Cambefort
Homology: an expression of generality in the life sciences / Stéphane Schmitt.

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