1. The Principle of Indifference
2. The Principle of Indifference for Sets
3. Bertrand’s Paradoxes
4. The Threat to the Principle and Four Kinds of Solution
5. The Distinction Strategy
6. The Well‑posing Strategy
7. The Irrelevance Strategy
8. The Maximum Entropy Principle
9. The Universal Average
10. Meta‑indifference
11. Permissivism
12. Uniqueness a Criterion of Identity
13. Symmetry: The Forlorn Hope
14. Unearthing the Root
15. Bertrand’s Temptations
16. Rational Strength
Biography
Nicholas Shackel is Professor of Philosophy, Cardiff University and Distinguished Research Fellow at the Oxford Uehiro Centre for Practical Ethics, Oxford University. His research is mainly on paradoxes and rationality. He has published numerous articles in books and leading journals including Journal of Philosophy, Mind, and Philosophy and Phenomenological Research.
“This is a very useful resource for graduate students and researchers interested in one of the most challenging puzzles in the theory of probability.”
Hykel Hosni, University of Milan, Italy
“This is essential reading for anyone seriously interested in Bertrand’s chord paradox or the broader epistemic issue of the status of the principle of indifference (and the maximum entropy principle.”
Darrell P. Rowbottom, Lingnan University, Hong Kong
