MAT 243 Week 3/15 Written Homework 1. (1 point each. 6 points total) Name the argument form of the following argument: (a) Dogs eat meat. Fluy does not eat meat. Therefore, F lury is not a dog. (b) I am a vegetarian. Vegetarians don't eat meat. Thc'zi"efore,lr don't eat meat. (0) 0n weekdays, Karl works. 0n weekends, he plays computer games. Therefore, Karl always works or plays computer games. ((1) Cat lovers spend a lot of money on cat food. I don't spend a lot of money on out food. Therefore, I am not a cat lover. (e) If we increase our space budget, we can build a moon base. If we can build a moon base, we can build a Mars base. Therefore, If we increase our space budget, we can build a Mars base. (f) Ales: smokes. She also has a pare-existing condition. Therefore, her health insurance categorizes her as a \"smoker with a pie-existing con- dition\" 2. (2 points) Analyze the following argument by assigning appropriate propo- sitional variables, writing the argument formally in terms of those variables and identifying the premises and basic argument forms. Do not use pred- icates and quantiers. Your dog plays. When she plays, she gets dirty. When she is dirty, she needs a bath. Therefore, your dog needs a bath. 3. (2 points) Is the following a valid argument or fallacy? If it is Sunday, then the store is closed. The store is closed. Therefore, it is Sunday. You must explain your answer. 4. Formalize the following argument by using the given predicates and then rewriting the argument as a numbered sequence of statements. Identifyr each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements. In that case, state the rule of inference and refer by number to the previous statements that the rule of inference used. MAT 243 Week 3/15 Written Homework (a) (3 points) Everybody who is at least 16 years otd can. get driver it- cence. Azul can not have a driver tteence yet. Therefore, Azut ts less than 16 years old. Predicates: S(x)= x is at least 16 years old, D(x)=x can get a driver licence\". The domain of discourse is all people. (b) (4 points) Dogs bark at cats. Mas: is a dog. Moonbeam is a cat. Therefore, Mart barks at Moonbeam \"X Predicates: B(x,y)=\"x barks at y\