Your friend stops by your house and tells you the following:
“If I get a puppy this summer, then my sister will not come to my pool party. Now, my sister will come to my pool party or my mother will be really upset. I ultimately decided not to get a puppy this summer. So now I know my mother won’t be upset!”
a. Write your friend’s argument in symbolic form using , and as component statements. Specify these three components explicitly.
b. Analyze the argument: is it valid or not? Justify your answer.

Question

Your friend stops by your house and tells you the following:
“If I get a puppy this summer, then my sister will not come to my pool party. Now, my sister will come to my pool party or my mother will be really upset. I ultimately decided not to get a puppy this summer. So now I know my mother won’t be upset!”
a. Write your friend’s argument in symbolic form using ￼ , ￼ and ￼ as component statements. Specify these three components explicitly.
b. Analyze the argument: is it valid or not? Justify your answer.