Objectives

1. 2.2 An Introduction to Logic Objectives • Define conditionals and model them with Euler diagrams. • Use conditionals in logical arguments. • Form the converses of conditionals. • Create logical chains from conditionals.

2. conclusion conditional statement converse of a conditional counterexample deductive reasoning hypothesis logical chain 2.2 An Introduction to Logic Glossary Terms

3. 2.2 An Introduction to Logic Theorems, Postulates, & Definitions If-Then Transitive Property 2.2.1: Given: “If A, then B, and if B, then C.” You can conclude: “If A, then C.”

4. 2.2 An Introduction to Logic Key Skills Draw a conclusion from a conditional. Give the conclusion that follows from these statements. 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: Claire is taking geometry.

5. 2.2 An Introduction to Logic Key Skills State the converse of a conditional. Conditional: If a person is in Ms. Robert's 5th period class, then the person is taking geometry. Converse: If a person is taking geometry, then the person is in Ms. Robert's 5th period class.

6. TOC 2.2 An Introduction to Logic Key Skills Order A, B, and C and draw a 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. Logical order: B, A, and C. Conclusion: If it snows too much in Greenfield, Claire will go on the Internet.