HPS 0628 Paradox Spring 2023

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Schedule

Week
Class meeting
Topic
Assignment  (Due)
Tests, Papers
1
Tues. Jan 10
Prolog, A Budget of Paradoxes



Thurs. Jan  12
Paradoxes: Their Diagnosis, Treatment and Cure, The Logic of Arguments
0. Warm Up Exercise

(no submission)

2
Tues. Jan 17
Paradoxes: Their Diagnosis, Treatment and Cure, The Logic of Arguments

Zeno's Paradoxes of Motion
1. Assessing Paradoxes

(Wed. Jan 18)


Thurs. Jan 19
Zeno's Paradoxes of Motion

3
Tues. Jan 24
Supertasks
2. Zeno's Paradoxes of Motion

(Wed. Jan 25)


Thurs. Jan 26
Reversed Supertasks


4
Tues. Jan 31
Mechanical Supertasks
3. Supertasks

(Wed. Feb 1)


Thurs. Feb. 2
Mechanical Supertasks
Test 1
Test opens in Canvas at 3pm Thurs Feb 2 and closes at 6pm Fri Feb 3.
What is it on?
grades
5
Tues. Feb 7
Paradoxes of the Infinitely Large
4. Mechanical Supertasks

(Wed. Feb 8)


Thurs. Feb 9
Set, Formally Speaking
Infinite Sets


6
Tues. Feb 14
Infinite Sets 5. Paradoxes of the Infinitely Large

(Wed. Feb 15)


Thurs. Feb 16
Infinite Sets
Test 2
Test opens in Canvas at 3pm Thurs Feb 16 and closes at 6pm Fri Feb 17.
What is it on?
grades

7
Tues. Feb 21
Paradoxes of Measure 6. Infinite Sets

(Wed. Feb 22)


Thurs. Feb 23
Additive Measures

8
Tues. Feb 28
The Liar 7. Additive Measures

(Wed. Mar 1)


Thurs. Mar 2
The Liar
Test 3
Test opens in Canvas at 3pm Thurs Mar 2 and closes at 6pm Fri Mar 3.
What is it on?
grades


Tues. Mar 7, Wed. Mar 8, Thurs. Mar 9
No classes. Spring break


9
Tues. Mar 14
The Paradoxes of Naive Set Theory 8. The Liar

(Wed. Mar 15)


Thurs Mar. 16
The Paradoxes of Naive Set Theory

10
Tues. Mar 21
Paradoxes of Impossibility: Incommensurability 9. The Paradoxes of Naive Set Theory

(Wed. Mar 22)


Thurs. Mar 23
Paradoxes of Impossibility: Classic Geometric Constructions (treated briefly)
Test 4
Test opens in Canvas at 3pm Thurs Mar 23 and closes at 6pm Fri Mar 24.
What is it on?
grades

11
Tues. Mar 28
Paradoxes of Impossibility: Computation
(Background: Algorithmic complexity)
10. Incommensurability

(Wed. Mar 28)


Thurs. Mar 30
Paradoxes of Impossibility: Computation


12
Tues. Apr 4
Probability Theory Refresher
Paradoxes From Probability Theory: Exclusivity
Paradoxes from Probability Theory: Independence
11. Uncomputable Tasks

(Wed. Apr 5)


Thurs. Apr 6
Paradoxes from Probability Theory: Independence

Term paper preview due

Test 5
Test opens in Canvas at 3pm Thurs Apr. 6 and closes at 6pm Fri Apr 7.
What is it on?
grades

13
Tues. Apr 11
Paradoxes From Probability Theory: Expectations 12. Probability

(Wed. Apr 12)


Thurs. Apr 13
Problems for Probability: the Principle of Indifference


14
Tues. Apr 18
Paradoxes for Probability: Expectations 13. Probability: Paradoxes of Indifference

(Wed. Apr 19)


Thurs. Apr 20
Some of:
The Probabilistic Urn Supertask
The Infinite Lottery: the Chances
How to Build An Infinite Lottery Machine

Test 6
Test opens in Canvas at 3pm Thurs Apr 20 and closes at 6pm Fri Apr 21.
What is it on?
grades

Fri. Apr 21, Last day undergraduate classes




Mon. Apr 24


Term paper due

Test 1 covers the material in the first 3 weeks of term and the Assigments 1, 2 and 3.
Test 2 covers the material in "Mechanical Supertasks" and "Paradoxes of the Infinitely Large"; and Assignments 4 and 5.
Test 3 covers the material in "Infinite sets," "Paradoxes of Measure" and "Additive Measures"; and Assignments 6 and 7.
Test 4 covers the material in "The Liar" and "The Paradoxes of Naive Set Theory"; and Assignments 8 and 9.
Test 5 covers the material in the chapters "Paradoxes of Impossibility"; and Assignments 10 and 11.
Test 6 covers the material in the chapters "Probabiility Theory Refresher," "Paradoxes from Probability Theory," "Problems for Probability: the Principle of Indifference" and "Problems for Probability: Expectations"; and Assignments 12 and 13.