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Conflicts between Generalization, Rigor, and Intuition

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Cover of 'Conflicts between Generalization, Rigor, and Intuition'

Table of Contents

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    Book Overview
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    Chapter 1 Question and Method
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    Chapter 2 Paths Toward Algebraization — Development to the Eighteenth Century. The Number Field
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    Chapter 3 Paths toward Algebraization — The Field of Limits: The Development of Infinitely Small Quantities
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    Chapter 4 Culmination of Algebraization and Retour du Refoulé
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    Chapter 5 Le Retour du Refoulé: From the Perspective of Mathematical Concepts
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    Chapter 6 Cauchy’s Compromise Concept
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    Chapter 7 Development of Pure Mathematics in Prussia/Germany
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    Chapter 8 Conflicts Between Confinement to Geometry and Algebraization in France
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    Chapter 9 Summary and Outlook
Attention for Chapter 3: Paths toward Algebraization — The Field of Limits: The Development of Infinitely Small Quantities
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