Paradox
Puzzles of Chance and Infinity
∞

JOHN D. NORTON









Nullarbor Press
2021
Revisions, 2022, 2023.

Copyright © 2021, 2022, 2023, John D. Norton
Published by Nullarbor Press, 4200 Fifth Avenue, Pittsburgh, Pennsylvania 15260
with offices in Liberty Ave., Pittsburgh, Pennsylvania, 15222

All Rights Reserved



John D. Norton
Department of History and Philosophy of Science
University of Pittsburgh
Pittsburgh PA USA 15260




















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ePrinted in the United States of America
no trees were harmed

web*book^TM

Contents

Prolog	read
1. A Budget of Paradoxes	read
2. Paradoxes: Their Diagnosis, Treatment and Cure	read
3. Zeno's Paradoxes of Motion	read
4. Supertasks	read
5. Reversed Supertasks	read
6. Mechanical Supertasks	read
7. Paradoxes of Measure	read
8. Additive Measures	read
9. Badly Behaved Curves	read
10. The Liar	read
11. Paradoxes of Naive Set Theory	read
12. Paradoxes of Impossibility: Incommensurability	read
13. Paradoxes of Impossibility: Algorithmic Complexity	read
14. Paradoxes of Impossibility: Computation	read
15. Probability Theory Refresher	read
16. Paradoxes from Probability Theory: Mutual Exclusivity	read
17. Paradoxes from Probability Theory: Independence	read
18. Paradoxes from Probability Theory: Expectations	read
19. The Probabilistic Urn Supertask	read
20. Problems for Probability: the Principle of Indifference	read
21. Paradoxes For Probability: Expectations	read
22. The Infinite Lottery: the Chances	read
23. How to Build An Infinite Lottery Machine	read

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