Bertrand's Paradox and the Principle of Indifference

ISBN-13: 9781032597935 / Twarda / 2024 / 376 str.

UK) Shackel Nicholas (Cardiff University

Opis

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.

Recenzje

“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

Spis treści

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

O autorze

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.