## MTH211 Foundations of Elementary Math 1

### Fun with whole numbers.

Notes on Whole Numbers
Fall 2019

#### § 2.2 Introduction to Deductive Reasoning

Main Topics

• Deductive Reasoning:
the process of forming conclusions from one or more given statements
• Statements: Premise and Conclusions
• Venn Diagrams
• Conditional Statements: If p, then q. p implies q
• Converse: If q, then p. q implies p
• Inverse: If not p, then not q. not p implies not q
• Contrapositve: If not q, then not p. not q implies not p
• Examples:
• If you are in Oregon, then you are in the United States.

Premise: You are in Oregon.
Conclusion: ?
• If you are in the United States, then you are in Oregon.

Premise: You are in the US.
Conclusion: ?
• If you are NOT in Oregon, then you are NOT in the United States.

Premise: You are NOT in Oregon.
Conclusion: ?
• If you are NOT in the United States, then you are NOT in Oregon.

Premise: You are NOT in the US.
Conclusion: ?

Math Activity 2.2: Deductive Reasoning Game

• Two Players
• One picks a number; the other tries to guess.
• Pica: A digit that is correct but not in the correct position.
• Centro: A digit that is correct and in the correct position.

example?