This book casts a new light on Bertrand's Paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability.
This book casts a new light on Bertrand's Paradox, giving original analyses of the paradox, its possible solutions, the source of the paradox, the philosophical errors we make in attempting to solve it and what the paradox proves for the philosophy of probability.
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.
Inhaltsangabe
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. Metäindifference 11. Permissivism 12. Uniqueness a Criterion of Identity 13. Symmetry: the Forlorn Hope 14. Unearthing the Root 15. Bertrand's Temptations 16. Rational Strength
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. Metäindifference 11. Permissivism 12. Uniqueness a Criterion of Identity 13. Symmetry: the Forlorn Hope 14. Unearthing the Root 15. Bertrand's Temptations 16. Rational Strength
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