Paradox
Puzzles of Chance and Infinity




JOHN D. NORTON







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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

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Contents

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