This is Philosophy Using Patterns of Deductive Reasoning Rules of Inference 1. Using modus tollens, finish the argument

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This is Philosophy Using Patterns of Deductive Reasoning Rulesof Inference
1. Using modus tollens, finish the argument that starts with “Ifhe burns the burgers, Jason will order take-out.”
2. Using hypothetical syllogism, finish the argument that startswith “If the take-out food does not arrive, Jason will beunhappy.”
3. Using modus ponens, finish the argument that starts with “Ifthere’s pink fluid under the car, Vartan should check thetransmission.”
4. Using hypothetical syllogism, finish the argument that startswith “If her tooth keeps aching, Pat will go to the dentist.”
5. Using modus tollens, finish each of the followingarguments.
a. If the children keep screaming, the dentist will not be ableto concentrate.
b. If Pat gets her tooth pulled, she won’t want to go to themovies tonight.
c. If Vartan repairs the transmission, we can go to the earlyshow.
6. Using modus ponens, finish each of the followingarguments.
a. If the dentist yells at the noisy children, the patients maybe alarmed.
b. If Jason does not finish his Thai food, he’ll either have theleftovers for lunch or he’ll freeze them.
c. If Vartan doesn’t finish the repairs, he can’t go to Yosemitethis weekend.
7. Using hypothetical syllogism, finish the following argumentsthat start with.
a. If the two truckers stop at the diner, they could get somebiscuits and gravy.
b. If the diner has no biscuits, the two truckers will go forgrits.
c. If the grits don’t fill them up, Al and Carlos will orderfries and onion rings.
Directions: Name the argument forms in the following statements.Each statement involves one of the following forms: modus ponens,modus tollens, or hypothetical syllogism.
1. If it keeps snowing, the skiing will be great. The skiing wasnot great, so it didn’t keep snowing.
2. If the sun stays out, the snow will melt and the slopes willbe muddy. If the snow melts and the slopes are muddy, then we can’tski. Therefore, if the sun stays out, then we can’t ski.
3. If Zenon runs for public office, he’ll get a lot of votes.Zenon did not get a lot of votes. So, he must not have run forpublic office.
4. If we read novels and drink espresso all night long, then wewon’t finish our homework. We finished our homework. Therefore, wedid not read novels and drink espresso all night long.
5. If you are not consistent, then you can’t train a puppy. Isee your puppy is trained. So, you must have been consistent.
6. If neither the police nor the fire truck arrives, we may wishwe picked somewhere else to live. Neither the police nor the firetruck arrived. So, we may wish we picked somewhere else tolive.
7. If the police helicopter lands in the yard, Virginia’svegetable garden will be flattened. If her vegetable garden isflattened, she will sue the city. So, if the police helicopterlands in the yard, Virginia will sue the city.
8. If the part-time job works out and you finally get some moneycoming in, then we can plan a weekend getaway to the desert. Thepart-time job worked out and you finally have money coming in. So,we can plan a weekend getaway to the desert.
9. If Sandie keeps lying in the sun, she’ll get burned. Sandiedid not get burned. We can conclude that Sandie did not keep lyingin the sun.
10. If Steve gets everyone in the car by 3 A.M., they should beable to get to Winslow, Arizona, by evening. If they get toWinslow, Arizona, by evening, they can make it to Tulsa by Thursdayafternoon. So, if Steve gets everyone in the car by 3 A.M., theycan make it to Tulsa by Thursday afternoon.