b. r→(p^~q) Q.3) Match each argument with the law. ( All may not apply to arguments a, b, c or d below) A. Modus ponens B. Modus tollens C. Reasoning by Transitivity D. Disjunctive Syllogism E. fallacy of the Converse F. Fallacy of the Inverse a. If he eats liver then he 'll eat anything. He eats liver. He'll eat anything. b. If You use your seat belt, you 'll be safer. You don’t use your seat belt. You won't be safer. c. If I hear Mr. Bojangles, I think of her. If I think of her, I smile. If I hear Mr. Bojangles, I smile.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**d.** She sings or she dances.

**She does not sing.**

She dances.
Transcribed Image Text:**d.** She sings or she dances. **She does not sing.** She dances.
### Question 3

**Match each argument with the law. (All may not apply to arguments a, b, c, or d below).**

#### Logical Laws:
- **A. Modus Ponens**
- **B. Modus Tollens**
- **C. Reasoning by Transitivity**
- **D. Disjunctive Syllogism**
- **E. Fallacy of the Converse**
- **F. Fallacy of the Inverse**

#### Arguments:
- **a. If he eats liver then he’ll eat anything.**
  - He eats liver.
  - He’ll eat anything.

- **b. If you use your seat belt, you’ll be safer.**
  - You don’t use your seat belt.
  - You won’t be safer.

- **c. If I hear Mr. Bojangles, I think of her.**
  - If I think of her, I smile.
  - If I hear Mr. Bojangles, I smile.

(No graphs or diagrams are included in this image.)
Transcribed Image Text:### Question 3 **Match each argument with the law. (All may not apply to arguments a, b, c, or d below).** #### Logical Laws: - **A. Modus Ponens** - **B. Modus Tollens** - **C. Reasoning by Transitivity** - **D. Disjunctive Syllogism** - **E. Fallacy of the Converse** - **F. Fallacy of the Inverse** #### Arguments: - **a. If he eats liver then he’ll eat anything.** - He eats liver. - He’ll eat anything. - **b. If you use your seat belt, you’ll be safer.** - You don’t use your seat belt. - You won’t be safer. - **c. If I hear Mr. Bojangles, I think of her.** - If I think of her, I smile. - If I hear Mr. Bojangles, I smile. (No graphs or diagrams are included in this image.)
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