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The Oxford handbook of generality in mathematics and the sciences
Title statement The Oxford handbook of generality in mathematics and the sciences / edited by Karine Chemla, Renaud Chorlay and David Rabouin Publication Oxford : Oxford University Press, 2017 Phys.des. 1 online zdroj (xii, 507 stran) : ilustrace (některé barevně) ISBN 9780191859243 (online) Edition Oxford handbooks online Note Previously issued in print: 2016. Internal Bibliographies/Indexes Note Obsahuje bibliografické odkazy a rejstřík Contents 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- Ga?l 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 / Fr?d?ric 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 (3z (Bgeneral (3y (B theory in mathematics: Aristotle and Euclid / David Rabouin -- Generality, generalization, and induction in Poincar?'s philosophy / Igor Ly -- Elaboration of a statement on the degree of generality of a property: Poincar?'s work on the recurrence theorem / Anne Robadey -- Generality and structures in functional analysis: the influence of Stefan Banach / Fr?d?ric Ja?ck -- How general are genera? The genus in systematic zoology / Yves Cambefort -- Homology: an expression of generality in the life sciences / St?phane Schmitt. Notes to Availability Přístup pouze pro oprávněné uživatele Audience Specialized. Note Způsob přístupu: World Wide Web Another responsib. Chemla, Karine, 1957- (editor) Chorlay, Renaud (editor) Rabouin, David (editor) Subj. Headings matematika mathematics * filozofické aspekty philosophical aspects Form, Genre elektronické knihy electronic books Conspect 51 - Matematika UDC 101 , 51 , (0.034.2:08) Country Anglie Language angličtina Document kind Electronic books 
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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 Poincar?'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 Ren? 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.
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