MATH 454 - AXIOMATIC SET THEORY (updated 8/2014)

 

Latest version of the Syllabus

 

Read Chapter 1. Exercises: p6-7 exercises 1-4 by August 30. These should be easy!
(For those still waiting for texts, here is a scan of Chapter 1. It is password-protected. The password is Math454)
some LECTURE NOTES

Updated 9/6. Note that a new section (on logic) was added before the section on axioms.
Updated 9/11 with some corrections.
Updated 9/24 with some corrections and new sections.

Updated 11/3 with section on Cardinality.
Updated 11/12 with sections on ordinals and Cardinal arithmetic.

(This will be updated regularly as sections are added)

Some homework (due Sep 10) p26/ do all, turn in 8 and 10
p. 32/Do 13, 14, 17, 18, 22, 23, turn in 19, 25
p. 34/ Do 33, 34, turn in 35
Verification that the Kuratowski ordered pair 'works'
Some homework (due Sep 17)

p38/1,4, 5a; turn in 2
p65/48, 54, 55, turn in 60
p41/6,7
p42/10
p52-3/11, 13, 18, 21, 23, 30; turn in 15, 28

Due Sep 24:

p. 55/31
p. 61-2/36, 37, 41, turn in 33
p. 64/43, 45; turn in 44

Due Friday, Oct 3:

p. 70/1
p.73/2-5 turn in 3

Due Monday Oct 13:

p.78/turn in 9-11, think about 12
p.83/14, 17, turn in 13

p.88/20, 23, 24, turn in 26

Due Oct 20 (date of Midterm); not to be handed in, but will be covered for exam!

p. 101/1, 5, 6
p. 111/11, 14

p. 120/19, 21

MIDTERM: OCT 20
Asst due Oct 31

p.133/4; turn in 3
p.138/6,8

Here are all the remaining homeworks from Chapter 6. They are not in the order in which I am covering the material. I will let you know which is due when.

All EXCEPT p158 are due next Wednesday, Nov. 12.

p. 161/28, 29; turn in 27
p. 144/10, 11, 12; turn in 13
p. 150/15, 17
p. 158/20, 21, 22, 24, 25; turn in 21 and 25
p. 165/34, 35, 36; turn in 32 and 33 (you might be able to use one to get the other)<=these will be due LATER

(There will also be one set of extra homework.)

The next set of homework will be due Nov. 26

These will include the p158 and p165 homework from above.

(Note p158#21 requires AC)

Also due Nov 26:

p178/6, turn in 5

Turn in problem 1 from this set of Extra Cardinal Problems