1. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Warm-up 1.Proof is a logical argument. 2.A statement is either true or false. 3.If Tom lives in Idaho then he lives in Twin Falls.

2. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Section 2-2 An Intro to Logic

3. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Definition Def: An “If-then” statement is called a conditional where the “if” the hypothesis and the “then” is called the conclusion. Notation 2.2 An Introduction to Logic

4. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Logical Reasoning 1. Use logical reasoning to order the events Suppose Tina lives in San Francisco. Use logical reasoning to show Tina lives in California.

5. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 2.2 An Introduction to Logic Definition Def: The process of drawing logical conclusions by using an argument is known as deductive reasoning.

6. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Draw a conclusion 2.2 An Introduction to Logic If a person is in Ms. Robert's 5th period class, then the person is taking geometry. Claire is in Ms. Robert's 5th period class. Conclusion: ________________________ 2. Draw a conclusion from these statements

7. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. definitions Def: When the hypothesis and conclusion are reversed the new conditional is called the converse.

8. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Converse 2.2 An Introduction to Logic 3. State the converse of Converse: ___________________________. If a person is in Ms. Robert's 5th period class, then the person is taking geometry.

9. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. 4. Order A, B, and C and draw a conclusion. 2.2 An Introduction to Logic Logical order: B, A, and C. Conclusion:_________________________________ A. If there is no school in Greenfield, Claire will stay home all day. B. If it snows too much in Greenfield, there is no school in Greenfield. C. If Claire stays home all day, she will go on the Internet.

10. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Definition Def: An example that proves a statement false is called a counterexample. 5.If a car is a corvette, then it is a Chevy. find the converse: 6. Find a counter example:

11. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. definition An inverse is where the hypothesis and conclusion of a conditional are negated 7. Find the inverse of # 5

12. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. definition A contra-positive is where the converse of a conditional statement is negated 8. Find the contra-positive of # 5

13. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Read Logical Chains on page 92 9. Are Sirens shrieking?

14. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Definition Euler diagrams or Euler circles are a diagrammatic means of representing sets and their relationships.

15. Copyright © by Holt, Rinehart and Winston. All Rights Reserved. Assignment Page 94 # 6-12, 13-31 odd and 34