Leibniz on the Foundations of the Differential Calculus

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Cham: Springer Nature Switzerland (2025)
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9783031772580   9783031772597

DOI

10.1007/978-3-031-77259-7

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Chapters

1. Introduction.  (pages 3-22)Richard T. W. Arthur & David Rabouin
2. The Question of the Existence of Infinitesimals (1669–1676).  (pages 23-49)Richard T. W. Arthur & David Rabouin
3. Mathematical Fictions.  (pages 51-78)Richard T. W. Arthur & David Rabouin
4. The De Quadratura Arithmetica (DQA).  (pages 79-97)Richard T. W. Arthur & David Rabouin
5. Infinitesimals and Their Existence After 1676.  (pages 99-132)Richard T. W. Arthur & David Rabouin
6. Leibniz’s Mature Justifications of the Calculus.  (pages 133-155)Richard T. W. Arthur & David Rabouin
7. Conclusion.  (pages 157-163)Richard T. W. Arthur & David Rabouin
8. Texts for Chapter 2, The Question of the Existence of Infinitesimals (1669–1676).  (pages 167-183)Richard T. W. Arthur & David Rabouin
9. Texts for Chapter 3, Mathematical Fictions.  (pages 185-188)Richard T. W. Arthur & David Rabouin
10. Texts for Chapter 4, De Quadratura Arithmetica (DQA).  (pages 189-200)Richard T. W. Arthur & David Rabouin
11. Texts for Chapter 5, Infinitesimals and Existence After 1676.  (pages 201-228)Richard T. W. Arthur & David Rabouin
12. Texts for Chapter 6, Leibniz’s Mature Justifications of the Calculus.  (pages 229-271)Richard T. W. Arthur & David Rabouin

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