Is the following argument valid? All dogs are purple My pet is not a dog ∴ My pet is not purple

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 36E: Prove or disprove that AB=AC implies B=C.
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Question

Is the following argument valid?

All dogs are purple

My pet is not a dog

∴ My pet is not purple

 

 

 

1) 

Valid

 

2) 

Invalid

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