- Conjunction:
A conjunction, or logical AND, is a compound proposition formed by joining two or more propositions with the word "and". The proposition is true when all the component propositions are true, and false otherwise.
For example:
If the first proposition is "It is sunny today," and the second proposition is "It is warm outside," then the conjunction "It is sunny and warm today" is true only if both propositions are true.
- Disjunction:
A disjunction, or logical OR, is a compound proposition formed by joining two or more propositions with the word "or". The proposition is true when at least one of the component propositions is true.
For example:
If the first proposition is "It is sunny today," and the second proposition is "It is cloudy outside," then the disjunction "It is sunny or cloudy today" is true if either of the propositions are true.