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.