3.6 Outline

1. Schematic diagram of a circuit
1. light
2. battery
3. light
4. switch
2. Basic circuits
1. series circuit
2. parallel circuit
3. Logical gates
1. definition
2. AND-gate
3. OR-gate
4. NOT-gate

3.6 Essential Ideas

This is an optional section which describes how to use logic to design circuits.… See the whole entry

3.5 Outline

1. Undefined terms, defined terms, axioms, and theorems
2. The letter game
3. Two-pan problem
4. Liar problem
5. Prisoner problem
6. Reporter’s error problem
7. Turkey problem

3.5 Essential Ideas

This section is devoted to applying and practicing the material of Sections 3.1-3.4.… See the whole entry

3.4 Outline

1. Introduction
1. theorem
2. syllogism
2. Direct reasoning
1. definition
2. modus ponens
3. law of detachment
4. assuming the antecedent
3. Indirect reasoning
1. definition
2. modus tollens
3. denying the consequent
4. Transitive reasoning
1. definition
2. formulate a conclusion
5. Logical proof
6. Fallacies
1. fallacy of the converse
1. also called fallacy
See the whole entry

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

3.2 Outline

1. Constructing truth tables
1. fundamental operators (and, or, and not )
2. truth table
3. law of double negation
2. Conditional
1. translation: if p, then q
2. antecedent
3. consequent
4. uses
5. definition
3. Translations for the conditional
1. converse
2. inverse
3. contrapositive
4. law of
See the whole entry

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