MHF 4102 - AXIOMATIC SET THEORY                                        FLORIDA INT'L UNIV

            HOMEWORK SHEET   (Jan 5th)                                                                     SPRING 2009 


            TEXTBOOK:  Introduction to Set Theory (3rd edition) by Karel Hrbacek & Thomas Jech

SAMPLE TEST & HW SOLUTIONS OR HINTS:

RESB 306.09 –  Answers & Hints to selected problems in Axiomatic Set Theory

                                      Course Reserves, Circulation Desk,  Second Floor, UP Library

            Below are the homework problems for the entire semester.   A few more homework
            problems may be added later on in the semester and a few may be deleted.   It is very
            important for you to attempt all assigned homework problems.   

 
            HOMEWORK FROM HANDOUT

Ch.1 - Naive Set Theory:

Nos. 1a-c, 2a-c, 3a-f, 4a-f, 5a-b, 6a-e, 7, 8a-b, 9a-c, 10a-c, 11a-b, 1

Ch.2 - The Zermelo-Fraenkel Axioms:

            Nos. 1a-b, 2a-j, 3, 4a-b, 5, 6, a-b, 8, 9a-e

Ch.3 - The Ordinal Numbers:

Nos. 1, 2, 3, 4, 5a-e, 6a-b, 7a-c, 8a-b, 9a-c, 10a-d, 11, 12a-c

Ch.4 - The Cardinal Numbers:

Nos. 1a-d, 2a-b, 3a-c, 4a-b, 5, 6a-c, 7a-c, 8a-d, 9a-d, 10

Ch.5 - The Axiom of Choice:

Nos. 1a-d, 2, 3, 4, 5, 6a-b, 7

Ch.6 - The Foundation Axiom:

Nos. 1a-c, 2, 3a-c, 4, 5, 6


             HOMEWORK FROM THE TEXTBOOK

             Naive Set Theory:   Ch.1  # 3.1, 3.2, 3.3, 3.4, 3.6, 3.7, 4.5, 4.6.

             The ZFC Axioms:   Ch.2  # 2.8, 3.9, 4.1, 5.1, 5.5, 5.7, 5.8, 5.9.

 Ordinal Numbers:   Ch.6  # 1.1, 1.2, 1.5, 1.6, 1.7, 1.8, 2.2, 2.3, 2.4, 2.5, 2.7, 2.8,  5.1, 5.2, 5.3,

                                                   5.4, 5.5, 5.6, 5.7, 5.8, 5.9, 5.10, 5.11, 5.12, 5.13, 5.14, 5.15, 6.1, 6.2.                                                  

             Cardinal Numbers:  Ch.4 # 1.2, 2.3, 1.4, 1.5, 1.10, 1.11, 1.12, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7,
                                                        3.8, 3.9, 4.2, 4.3, 6.1, 6.2, 6.3.
                                             Ch.5 # 1.2, 1.3, 1.4, 1.5, 1.6, 2.1, 2.2, 2.5, 2.7.         Ch.7 # 2.1, 2.2, 2.3.
           
             Axiom of Choice:     Ch.8  #1.1, 1.2, 1.15, 2.2.


  Foundation Axiom:  Ch.14  # 2.1, 3.1, 3.4