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Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice Book

Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice
Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text, Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice has a rating of 4 stars
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Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text, Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice
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  • Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice
  • Written by author Shabel
  • Published by Taylor & Francis, Inc., September 2002
  • This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text
  • Mathematics in Kant's Critical Philosophy provides a much needed reading (and re-reading) of Kant's theory of the construction of mathematical concepts through a fully contextualized analysis. In this work Lisa Shabel convincingly argues that it is
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Preface
Introduction3
Pt. 1Euclid: The Role of the Euclidean Diagram in the Elements
1.0Euclid: An Introduction9
1.1Characterizing the Euclidean Diagram: Plane Geometry11
1.2Reading the Euclidean Diagram: Warranting Implicit Assumptions21
1.3Countering Common Objections to the Euclidean Method28
1.4Characterizing and Reading the Euclidean Diagram: the Arithmetic Books34
1.5The Role of the Euclidean Diagram in Indirect Proof: A Special Case of "Pre-Formal" Demonstration36
1.6Euclid: Conclusion38
Pt. 2Wolff: The Elementa and Early Modern Mathematical Practice
2.0Wolff: An Introduction41
2.1Euclid's Elements in the Early Modern Period44
2.2Geometry and Arithmetic in Wolff's Elementa and Other Early Modern Textbooks49
2.3Algebra and Analysis in Wolff's Elementa: The Tools that Relate Arithmetic and Geometry in the Early Modern Period62
2.4Wolff: Conclusion87
Pt. 3Kant: Mathematics in the Critique of Pure Reason
3.0Kant: An Introduction91
3.1Pure and Empirical Intuitions93
3.2The "Schematism"109
3.3Algebraic Cognition115
3.4Kant: Conclusion131
Endnotes135
References169
Index175


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Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text, Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice

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Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text, Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice

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Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice, This book provides a reading of Kant's theory of the construction of mathematical concepts through a fully contextualised analysis. In this work the author argues that it is only through an understanding of the relevant eighteenth century mathematics text, Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice

Mathematics in Kant's Critical Philosophy: Reflections on Mathematical Practice

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