All racers live dangerously. Gomer is a racer. Therefore, Gomer lives dangerously.      11. If you aren't polite, you won't be treated with respect. You aren't treated with respect. Therefore, you aren't polite.      12. If you are kind to a puppy, then he will be your friend. You weren't kind to that puppy. Hence, he isn't your friend.

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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Complete the table by testing the validity of each argument using common patterns of reasoning

 

 All racers live dangerously. Gomer is a racer. Therefore, Gomer lives dangerously. 

 

 

11. If you aren't polite, you won't be treated with respect. You aren't treated with respect. Therefore, you aren't polite. 

 

 

12. If you are kind to a puppy, then he will be your friend. You weren't kind to that puppy. Hence, he isn't your friend. 

 

 

13. If I don't pay my income taxes, then I file for an extension or I am a felon. I'm not a felon and I didn't file for an extension. Therefore, I paid my income taxes 

 

 

14. I wash the dishes or I don't eat. I eat. Thus, I wash the dishes 

 

 

15. If you play golf during a thunderstorm, you'll get hit by lightning. You didn't get hit by lightning. Therefore, you didn't play golf during a thunderstorm. 

 

 

16. If an animal is a squid, then it has tentacles. If an animal is an octopus, then it has tentacles. Therefore, if an animal is a squid, then it is an octopus 

 

 

17. All protons are subatomic particles. All neutrons are subatomic particles. Hence, all protons are neutrons. 

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