Conjunction
Definition
A conjunction is a compound statement formed by combining two statements with the word 'and'. It is true only when both component statements are true.
5 Must Know Facts For Your Next Test
- Symbolically, a conjunction is represented by the ∧ operator.
- The truth table for a conjunction shows that it is false if at least one of the component statements is false.
- Conjunctions are used to form more complex logical expressions in mathematical reasoning and proofs.
- If P and Q are two statements, then the conjunction P ∧ Q reads as 'P and Q'.
- In logic, the conjunction operation corresponds to intersection in set theory.
Review Questions
- What symbol is used to represent a conjunction?
- Under what conditions is a conjunction true?
- How does a conjunction differ from other logical operators like disjunction?
"Conjunction" appears in:
Related terms
Disjunction: A compound statement formed using 'or' which is true if at least one component statement is true.
Negation: The operation that takes a statement and flips its truth value.
Implication: A compound statement of the form 'if P then Q', which is false only when P is true and Q is false.
