Final answer:
A disjunctive syllogism is a valid and sound deductive inference.
Step-by-step explanation:
A disjunctive syllogism is a valid and sound deductive inference. It follows the form:
- X or Y
- Not Y
- Therefore X
This means that if statement X or statement Y is true, and it is known that statement Y is not true, then it can be logically concluded that statement X must be true. For example, if it is known that it is either raining outside (X) or the sun is shining (Y), and it is known that the sun is not shining (not Y), then it can be concluded that it is raining outside (X).