8. “Impossible Numbers”: A Chapter in the History of Modern Logic

Chapters in this book

1. Frontmatter I
2. Acknowledgments VII
3. Contents IX
4. Introduction 1
5. 1. Modern Science in Philosophical Perspective 7
6. 2. Theory and Observation 29
7. 3. Some Reflections on the Use of Language in the Natural Sciences 49
8. 4. The Quest for Uncertainty 64
9. 5. Philosophical Depreciations of Scientific Method 84
10. 6. Issues in the Logic of Reductive Explanations 95
11. 7. Carnap’s Theory of Induction 118
12. 8. “Impossible Numbers”: A Chapter in the History of Modern Logic 166
13. 9. The Formation of Modern Conceptions of Formal Logic in the Development of Geometry 195
14. 10. Determinism and Development 260
15. 11. Some Notes on Determinism 270
16. 12. Teleology Revisited 275