1. 2-4 Deductive Reasoning Vocab:
Deductive Reasoning: Logical conclusion based off facts, rules, definitions, or properties
Valid logic: A logically correct method of proving a conjecture

2. Law of Detachment
If p then q is a true statement if p is true, then q is true
Ex 1: If a car is out of gas, then it will not start. Sarah’s car is out of gas.
Sarah’s car will not start. Valid conclusion.
Ex 2: If Mike goes to the beach, he will wear sunscreen. Mike is wearing sunscreen.

3. Law of Syllogism
If p and q are true, and q and r are true, then p then r is true
Ex 3: If you get a job, then you will earn money. If you earn money, then you will buy a car.
Conclusion: If you get a job, then you will buy a car.
Ex 4: If you do not get enough sleep, then you will be tired. If you are tired, then you will not do well on the test.

4. Classwork/Homework
P even