6 Hegel’s Supersession of Leibniz and Newton: The Limitations of Calculus and Logical Calculus

Kapitel in diesem Buch

1. Frontmatter i
2. Contents v
3. Hegel’s Texts: Translations and Abbreviations vii
4. Preface ix
5. Introduction 1
6. Beginning: Hegel’s Classicism
7. 1 Logic, Mathematics, and Philosophy in Fourth-Century Athens 21
8. 2 Hegel and the Platonic Origins of Aristotle’s Syllogistic 42
9. 3 The General Significance of Neoplatonic Harmonic Theory for Hegel’s Account of Magnitude 57
10. Middle: Classical Meets Modern
11. 4 Geometry and Philosophy in Hegel, Schelling, Carnot, and Grassmann 87
12. 5 The Role of Analysis Situs in Leibniz’s Modernization of Logic 108
13. 6 Hegel’s Supersession of Leibniz and Newton: The Limitations of Calculus and Logical Calculus 126
14. End: The Modern as Redetermined Classical
15. 7 Exploiting Resources within Aristotle for the Rehabilitation of the Syllogism 147
16. 8 The Return of Leibnizian Logic in the Nineteenth Century: From Boole to Heyting 169
17. 9 Hegel among the New Leibnizians: Judgments 191
18. 10 Hegel beyond the New Leibnizians: Syllogisms 213
19. Conclusion: The God at the Terminus of Hegel’s Logic 228
20. Acknowledgments 233
21. Notes 235
22. Bibliography 261
23. Index 277