Foundations of Mathematics

Math 224
Handouts

This page contains links to the handouts for Math 224. If a student has missed class or wishes an extra copy of a handout he may download the following handouts. [Note: review download instructions from index page]:

0.           Handout on Truth Tables (Basic Introduction)       [PDF]

1.           Handout on the Conditional and Biconditional (part 1)        [PDF]

Handout on the Conditional and Biconditional (part 2)       [PDF]

2.           Handout on Laws of Logic & Rules to Memorise      [PDF]

2A.         Handout: Commentary on Laws of Logic & Rules to Memorise      [PDF]

2½         Handout on Proof, Show, Opine, Believe, or Feel.      [PDF]

3.           Handout on the Methods of Proof      [PDF]

4.           Handout: Standard Sets to Memorise: Definitions and Symbols     [PDF]

4 ½ . Handout: Axioms of the Reals     [PDF]

4 ⁵/₈. Handout: Lemmas of the Analytic or Number Theoretic Proofs     [PDF]

4 ¾ . Handout: Lemmas of the Reals, Naturals, Integers, Rationals, or Irrationals     [PDF]

4 ⁷/₈ . Handout: Barnier and Feldman Exercises Additional Directions     [PDF]

4 ¹⁵/₁₆ . Handout: Crimi Theorems     [PDF]

4 ³¹/₃₂ . Handout: Ponis Claims     [PDF]

4 ⁶³/₆₄ . Handout: LeVan and Benton Claims     [PDF]

4 ¹²⁷/₁₂₈ . Handout: More Definitions and Lemmas     [PDF]

5.           Handout on Proof Versus Counterexamples      [HTML]

6.           Handout on Analytic Proofs     [HTML]

6 ½ . Handout on The Peano Axioms     [PDF]

7.          Handout on Mathematical Induction Proofs     [HTML]

7 ½ . Reaction Paper 1 on Test 1     [DOC]

8.          Handout on the Axioms of Set Theory      [PDF]

9.          Handout on the Algebra of Sets & Laws to Memorise     [PDF]

9 ½ . Handout on Some Useful Lemmas of Set Theory      [PDF]

10.        Handout on the Generalised Point Method of Proof for Sets      [PDF]

11.        Handout on Collections, Generalised Unions, and Generalised Intersections of Sets     [HTML]

11 A . Handout 11A: Barnier and Feldman Directions Errata            [PDF]    

11 B.    .   Handout 11B More Corrections to the Book Directions            [PDF]             

11 ½ . Handout on Lemmas And More            [PDF]    

12.       [HTML]

13.        Handout on Relations, Equivalence Relations, Partial Ordering      [PDF]

14.        Handout on Functions            [PDF]    

15.        Handout on Cardinality          [PDF]

-------------------Handouts below are still to be revised; do not bother downloading them until such is done----------------------

16.        Handout on Ordinality           [PDF]    (in progress)

17.        Handout on Number Theory        [PDF] (in progress)

18.        Handout on the Integers           [PDF]    (in progress)

19.        Handout on Epsilon - Delta Proofs and Limits        [DOC]

Last updated: 8 April  2009  © 1999 - 2009, M. P. M. M. M^cLoughlin