HPS 0628 Paradox



This is an archived version of an earlier offering the course. Beware: not all links will work!


Chapters Assignments

Course Description

Schedule

Term Paper

Videos

Clock

Title page

Prolog

A Budget of Paradoxes

Paradoxes: Their Diagnosis, Treatment and Cure

The Logic of Arguments

Zeno's Paradoxes of Motion

Supertasks

Reversed Supertasks

Mechanical Supertasks

Paradoxes of the Infinitely Large

Infinite Sets

Paradoxes of Measure

Additive Measures

Badly Behaved Curves

The Liar

The Paradoxes of Naive Set Theory

Paradoxes of Impossibility: Incommensurability

Paradoxes of Impossibility: Classic Geometric Constructions

Paradoxes of Impossibility: Computation

Probability Theory Refresher

Paradoxes from Probability Theory: Mutual Exclusivity

Paradoxes from Probability Theory: Independence
 
Paradoxes from Probability Theory: Expectations

The Probabilistic Urn Supertask

Paradoxes for Probability Theory: The Principle of Indifference

Paradoxes for Probability Theory: Expectations

The Infinite Lottery: The Chances

How to Build an Infinite Lottery Machine

1. Assessing Paradoxes

2. Zeno's Paradoxes of Motion

3. Supertasks

4. Mechanical Supertasks

5. Paradoxes of the Infinitely Large

6. Infinite Sets

7. Additive Measures

8. The Liar

9. The Paradoxes of Naive Set Theory

10. Incommensurability

11. Uncomputable Tasks

12. Probability

13. Probability: Paradoxes of Indifference

Unused assignments

Computation 1

Computation 2

Computation

Geometric constructions 1

Geometric constructions 2

Paradoxes of decision

Paradoxes of Indifference