1. 2-3 Deductive Reasoning

2. A mechanic uses deductive reasoning to determine what is wrong with your car.

3. 2-3 Deductive Reasoning A doctor will use deductive reasoning to diagnose a patient.

4. 2-3 Deductive Reasoning A lawyer uses deductive reasoning to build a case.

5. 2-3 Deductive Reasoning A construction foreman uses deductive reasoning to determine what materials are needed at a work site.

6. 2-3 Deductive Reasoning And of course a detective uses deductive reasoning to solve crimes.

7. Deductive Reasoning The process of reasoning logically from a given Statement to a conclusion. AKA logical reasoning.

8. Deductive Reasoning There are two laws used in logical reasoning: LAW OF DETACHMENT LAW OF SYLLOGISM

9. Deductive Reasoning LAW OF DETACHMENT This law states that if a conditional statement is true, and Its hypothesis is true, then its conclusion is true. Example: If it is raining outside, then I will use my umbrella. It is raining outside What can you conclude? I will use my umbrella. If p q is a true statement and p is true, Then q is true.

10. Deductive Reasoning LAW OF DETACHMENT More examples: If Taylor and Nick make the softball team Then they will get new hats. Nick and Taylor made the Softball team. What can we conclude? Taylor and Nick get a new hat.

11. Deductive Reasoning LAW OF SYLLOGISM This law of deductive reasoning allows you to make a Conclusion if the following are true: The conclusion of one true conditional statement is the Same as the hypothesis of another true statement.

12. Deductive Reasoning LAW OF SYLLOGISM If Tony goes to the movies, then he will eat popcorn. If Tony eats popcorn, he will get indigestion. Conclusion: If Tony goes to the movies, then he will get Indigestion. If p q and q r are true statements, then p r is a true statement

14. Deductive Reasoning LAW OF SYLLOGISM Example: If it rains outside, the walkway will get wet. If the walkway is wet, the walkway will be slippery. What can we conclude from the Law of Syllogism? If it is raining, the walkway will be slippery.

15. Can you use Law of detachment? If a person lives in Omaha, then, he or she lives in Nebraska. Tamika lives in Omaha Yes, we could use detachment to determine the conclusion Tamika lives in Nebraska.