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In exercises 11-12, use all the premises to determine the valid conclusion for the given argument. 1. If it is a theropod, then it is not herbivorous. If it is not herbivorous, then it is not sauropod. It is a sauropod. Therefore,. 2. If you buy the car, you will need a loan. You do not need a loan or you will make a monthly payments. You buy the car. Therefore,

In exercises 11-12, use all the premises to determine the valid conclusion for the given argument. 1. If it is a theropod, then it is not herbivorous. If it is not herbivorous, then it is not sauropod. It is a sauropod. Therefore,. 2. If you buy the car, you will need a loan. You do not need a loan or you will make a monthly payments. You buy the car. Therefore,

Advanced Engineering Mathematics
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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In exercises 11-12, use all the premises to determine the valid conclusion for the given argument. 1. If it is a theropod, then it is not herbivorous. If it is not herbivorous, then it is not sauropod. It is a sauropod. Therefore,. 2. If you buy the car, you will need a loan. You do not need a loan or you will make a monthly payments. You buy the car. Therefore,
Transcribed Image Text:In exercises 11-12, use all the premises to determine the valid conclusion for the given argument. 1. If it is a theropod, then it is not herbivorous. If it is not herbivorous, then it is not sauropod. It is a sauropod. Therefore,. 2. If you buy the car, you will need a loan. You do not need a loan or you will make a monthly payments. You buy the car. Therefore,
Example 4.5 In each argument, use all premises to determine the valid conclusion. 1. We will not go to japan (-j) or we will go to Hong Kong (h). If we visit my uncle (u). then we will go to Singapore (s). If we go to Hong Kong then we will not go to Singapore. Solution: Write the argument in symbolic form. ~jvh UIS h→-s Premise 1 Premise 2 Premise 3 The first premise can be written as j→ h. The contrapositive of the second premise is ~s →~u. Therefore the argument can be written as j-h Interchanging the second and third premises yields ~S1~U h→-s j→h h→-s ~Su By transitive reasoning the valid conclusion will be ju. Thus the valid conclusion for the argument is "If we go to Japan, then we will not visit my uncle."
Transcribed Image Text:Example 4.5 In each argument, use all premises to determine the valid conclusion. 1. We will not go to japan (-j) or we will go to Hong Kong (h). If we visit my uncle (u). then we will go to Singapore (s). If we go to Hong Kong then we will not go to Singapore. Solution: Write the argument in symbolic form. ~jvh UIS h→-s Premise 1 Premise 2 Premise 3 The first premise can be written as j→ h. The contrapositive of the second premise is ~s →~u. Therefore the argument can be written as j-h Interchanging the second and third premises yields ~S1~U h→-s j→h h→-s ~Su By transitive reasoning the valid conclusion will be ju. Thus the valid conclusion for the argument is "If we go to Japan, then we will not visit my uncle."
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