Paradox
Puzzles of Chance and Infinity




JOHN D. NORTON







tree

Nullarbor Press
2021







Copyright © 2021 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





A














2 4 6 8 9 7 5 3 1
ePrinted in the United States of America
no trees were harmed

web*bookTM


Contents

Prolog
read
1. A Budget of Paradoxes
read
2. Paradoxes: Their 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
read
17. The Probabilistic Urn Supertask read
18. Problems for Probability: the Principle of Indifference
read
19. Paradoxes For Probability: Expectations
read
20. The Infinite Lottery: the Chances
read
21. How to Build An Infinite Lottery Machine
read

i i i