How to build and read truth tables for logical connectives such as AND, OR, and the conditional.
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- What is a truth table?
- A table showing all possible combinations of truth values for propositions and their results under logical operations.
- When is a conjunction (AND) true?
- When both propositions are true.
- Conjunction: true AND true = ?
- true
- Conjunction: true AND false = ?
- false
- Conjunction: false AND false = ?
- false
- When is a disjunction (OR) true?
- When at least one proposition is true.
- Disjunction: true OR true = ?
- true
- Disjunction: true OR false = ?
- true
- Disjunction: false OR false = ?
- false
- What does the NOT operator do?
- Reverses the truth value of a proposition.
- NOT true = ?
- false
- NOT false = ?
- true
- What is a conditional?
- A logical statement asserting that if the antecedent is true, then the consequent must be true.
- When is a conditional false?
- Only when the antecedent is true and the consequent is false.
- Conditional: true > false = ?
- false
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