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) [DOC]
1. Handout on the Conditional and Biconditional (part 1) [DOC]
Handout on the Conditional and Biconditional (part 2) [DOC]
2. Handout on Laws of Logic & Rules to Memorise [DOC]
3. Handout on the Methods of Proof [DOC]
4. Handout: Standard Sets to Memorise: Definitions and Symbols [PDF]
4 ½ . Handout: Axioms of the Reals [DOC]
4 ¾ . Handout: Lemmas of the Reals, Naturals, Integers, Rationals, or Irrationals [DOC]
5. Handout on Proof Versus Counterexamples [PDF]
6. Handout on Analytic Proofs [HTML]
6 ½ . Handout on The Peano Axioms [DOC]
7. Handout on Mathematical Induction Proofs [HTML]
7 ½ . Reaction Paper 1 on Test 1 [DOC]
8. Handout on the Axioms of Set Theory [DOC]
9. Handout on the Algebra of Sets & Laws to Memorise [HTML]
9 ½ . Handout on Some Useful Lemmas of Set Theory [DOC]
10. Handout on the Generalised Point Method of Proof for Sets [DOC]
11. Handout on Collections, Generalised Unions, and Generalised Intersections of Sets [HTML]
12. Handout on Relations [HTML]
13. Handout on Relations, Equivalence Relations, Partial Ordering [PDF]
14. Handout on Functions [PDF]
15. Handout on Cardinality [PDF]
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
Apr. 2004 © 1999 - 2004, M. P. M. M. McLoughlin