http://www.ck12.org Chapter 16. Logic and Set Theory
CHAPTER
16 Logic and Set Theory
Chapter Outline
16.1 And and Or Statements
16.2 IF-THENSTATEMENTS
16.3 NEGATIVESTATEMENTS
16.4 INVERSE, CONVERSE,ANDCONTRAPOSITIVE
16.5 REFERENCES
Mathematics involves intricate notation, numbers, graphs and theorems, but at its core is logical reasoning. Most
explanations, proofs, solutions and arguments involve step by step conclusions that follow from previous state-
ments. Inherent to this structure is reasoning about when and how the truth of a conclusion follows from previous
statements. Most students take this reasoning for granted, but to make mathematics truly objective it makes sense
to study the nature of logic so that you can be sure that your reasoning truly is airtight. Here you will explore the
basics of logic and set theory.