Section 3.3: Operations and Laws of Logic

3.3 Outline

  1. Biconditional, implication, and logical equivalence
    1. definition of biconditional
    2. verifying tautologies
    3. implication
    4. equivalence
  2. Laws of logic
    1. law of double negation
    2. law of contraposition
    3. De Morgan’s laws
  3. Negation of a compound statement
    1. negation of a conditional
    2. language analysis
  4. Miscellaneous operators
See the whole entry “Section 3.3: Operations and Laws of Logic”

Section 3.1: Deductive Reasoning

3.1 Outline

  1. 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
  2. Conjunction
    1. translation: and
    2. definition
  3. Disjunction
    1. translation: or
    2. definition
  4. Negation
See the whole entry “Section 3.1: Deductive Reasoning”