Disjunctive Syllogism is a logical reasoning method that involves a disjunction, which is a statement that presents two alternatives, typically in the form "A or B." If one of the alternatives is proven false, the other must be true. For example, if we have the statement "It is either raining or sunny," and we find out that it is not raining, we can conclude that it is sunny. This form of reasoning is often used in mathematics and philosophy to draw conclusions based on given premises. It helps in decision-making processes by eliminating possibilities and narrowing down options. Understanding Disjunctive Syllogism can enhance critical thinking skills and improve problem-solving abilities.