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Algebraic generality versus arithmetic generality in the 1874 controversy between C. Jordan and L. Kronecker  

Frédéric Brechenmacher

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article revisits the 1874 controversy between Camille Jordan and Leopold Kronecker over two theorems, namely Jordan’s canonical forms and Karl Weierstrass’s elementary divisors ... More

Biological generality: general anatomy from Xavier Bichat to Louis Ranvier  

Jean- Gaël Barbara

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines generality in biology by focusing on two French schools of anatomy: the discipline of anatomie générale that was founded in France in 1800 by Xavier Bichat and the ... More

Elaboration of a statement on the degree of generality of a property: Poincaré’s work on the recurrence theorem  

Anne Robadey

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines the statement that a property is true for ‘almost all’ considered objects, in a precise mathematical sense, by referring to Henri Poincaré’s reflections on the ... More

Generality and structures in functional analysis: the influence of Stefan Banach  

Frédéric Jaëck

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines Stefan Banach’s contributions to the field of functional analysis based on the concept of structure and the multiply-flvored expression of generality that arises in ... More

Generality in Leibniz’s mathematics  

Eberhard Knobloch

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article discusses generality in Gottfried Leibniz’s mathematics. In principle, Leibnizian mathematics has a philosophical-theological basis. From the beginning everything that exists ... More

Generality, generalization, and induction in Poincaré’s philosophy  

Igor Ly

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines Henri Poincaré’s philosophical conceptions of generality in mathematics and physics, and more specifically his claim that induction in experimental physics does not ... More

Homology: an expression of generality in the life sciences  

Stéphane Schmitt

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Jul 2016
Online publication date:
Jul 2017
This article examines how the concept of homology is used as an expression of generality in the life sciences. Throughout its long history, homology expressed a quest for generality in the ... More

How general are genera? The genus in systematic zoology  

Yves Cambefort

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines how the genus category was perceived and conceived in zoology (with occasional references to botany), in reference to species on the one hand and to higher categories ... More

Leibnizian analysis, canonical objects, and generalization  

Emily Grosholz

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines Gottfried Leibniz’s notion of analysis by focusing on his investigation of transcendental curves. It argues that Leibnizian analysis can be understood as an art of ... More

Models, structure, and generality in Clerk Maxwell’s theory of electromagnetism  

Olivier Darrigol

Print publication date:
Jul 2016
Online publication date:
Jul 2017
This article examines the gradual development of James Clerk Maxwell’s electromagnetic theory, arguing that he aimed at general structures through his models, illustrations, formal ... More

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