The Nature of Mathematics, 12th Edition
Home
about dr. smith
glossary
transparencies
other books

Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
group projects
individual projects
links by topic

Section 3.1: Deductive Reasoning

3.1 Outline

A.  Terminology
      1. argument
      2. hypotheses/premises
      3. deductive reasoning
      4. valid
      5. logic
      6. symbolic logic
      7. statement
      8. simple statement
      9. operators (connectives)
    10. compound statement
    11. fuzzy logic
    12. law of the excluded middle
    13. truth value of a simple statement
B. Conjunction
     1. translation: and
     2. definition
C. Disjunction
     1. translation: or
     2. definition
D. Negation
     1. translation: not
     2. definition
     3. negation of all, some, and no
E. Order of operations
     1. translations
     2. truth value
     3. compound statements

3.1 Essential Ideas

    In addition to introducing basic terminology, the definitions of conjunction, disjunction, and negation are essential. You need to memorize the entries of this table.