Assignment 5 Flashcards
Rewrite each argument in standard form. State the pattern of argument. Then state whether the argument is valid, cogent, or ill-formed.-a. If gas prices go up, then people will drive less. And gas prices will go up. As a result, people will drive less.
- If gas prices go up, then people will drive less.
- Gas prices will go up.
- People will drive less.
Affirming the antecedent, Valid
Rewrite each argument in standard form. State the pattern of argument. Then state whether the argument is valid, cogent, or ill-formed.-b. Jones should get an A in that course. This is because he worked hard and everyone who worked hard in that course should get an A.
- Everyone who worked hard in that course should get an A.
- Jones worked hard in that course.
- Jones should get an A in that course
- All As are Bs
- x is an A.
- x is a B.
Rewrite each argument in standard form. State the pattern of argument. Then state whether the argument is valid, cogent, or ill-formed.-c. If you study hard, then you’ll get an A. But you won’t study hard, so you won’t get an A.
- If you study hard, then you’ll get an A.
- You won’t study hard.
- You won’t get an A.
- If you study hard, then you’ll get an A.
- You won’t study hard.
- You won’t get an A.
Denying the antecedent, Invalid
Denying the antecedent, Invalid
Rewrite each argument in standard form. State the pattern of argument. Then state whether the argument is valid, cogent, or ill-formed.-d. Either we teach our children to work hard or they will be unable to compete on the job market. But we won’t teach them to work hard. It follows that they will be unable to compete on the job market.
- Either we teach our children to work hard or they will be unable to compete on the job market.
- We won’t teach them to work hard.
- They will be unable to compete on the job market.
Elimination, Valid
The following paragraphs also present simple arguments but contain no indicator words. Rewrite each argument in standard form, using your best judgment about which statements are the premises and which are the conclusions. State the pattern of argument. Then state whether the reconstructed argument is valid, cogent, or ill-formed.- a. The conclusion of Smith’s argument is true. It is a valid argument and all valid arguments have true conclusions.
- Smith’s argument is a valid argument.
- All valid arguments have true conclusions.
- Smith’s argument has a true conclusion.
- All As are Bs
- x is an A.
- x is a B.
Valid
The following paragraphs also present simple arguments but contain no indicator words. Rewrite each argument in standard form, using your best judgment about which statements are the premises and which are the conclusions. State the pattern of argument. Then state whether the reconstructed argument is valid, cogent, or ill-formed.- b. Anyone who goes bankrupt has no money. Donald Trump went bankrupt. Donald Trump has no money.
- Donald Trump went bankrupt.
- All people who go bankrupt have no money.
- Donald Trump has no money.
- All As are Bs
- x is an A.
- x is a B.
Valid
Cogent
The following paragraphs also present simple arguments but contain no indicator words. Rewrite each argument in standard form, using your best judgment about which statements are the premises and which are the conclusions. State the pattern of argument. Then state whether the reconstructed argument is valid, cogent, or ill-formed.- c. Most books have some pictures. The telephone book is a book. The telephone book has some pictures.
- Most books have some pictures.
- The telephone book is a book.
- The telephone book has some pictures.
- Most As are Bs.
- x is an A.
- x is a B
Cogent
The following paragraphs also present simple arguments but contain no indicator words. Rewrite each argument in standard form, using your best judgment about which statements are the premises and which are the conclusions. State the pattern of argument. Then state whether the reconstructed argument is valid, cogent, or ill-formed.- d. You’ll like nectarines. Everyone who likes peaches also likes nectarines, and you like peaches.
- Everyone who likes peaches also likes nectarines.
- You like peaches.
- You’ll like nectarines.
- All As are Bs
- x is an A.
- x is a B.
Valid
Rewrite each argument in standard form, omitting any information that is not part of the argument and clarifying the statements that are not expressed clearly. State the pattern of the reconstructed argument. Then state whether the reconstructed arguments are valid, cogent, or ill-formed.- a. I oppose capital punishment because it might lead to the death of innocent people, and we shouldn’t do anything that might lead to the death of innocent people.
- Capital punishment might lead to the death of innocent people.
- All things that lead to the death of innocent people are things we shouldn’t do.
- We shouldn’t do (have) capital punishment.
- All As are Bs
- x is an A.
- x is a B.
Valid
Rewrite each argument in standard form, omitting any information that is not part of the argument and clarifying the statements that are not expressed clearly. State the pattern of the reconstructed argument. Then state whether the reconstructed arguments are valid, cogent, or ill-formed.- b. I know that most Ryerson students drink beer. After all, most Ryerson students are male, and most males drink beer.
- Most Ryerson students are male.
- Most males drink beer.
- Most Ryerson students drink beer.
- Most As are Bs.
- Most Bs are Cs.
- Most As are Cs.
Ill-formed
Rewrite each argument in standard form, omitting any information that is not part of the argument and clarifying the statements that are not expressed clearly. State the pattern of the reconstructed argument. Then state whether the reconstructed arguments are valid, cogent, or ill-formed.-c. Smith is the murderer. After a long and difficult investigation, the police showed that either Smith or Jones did it, and I’m sure that it wasn’t Jones.
- Either Smith is the murder or Jones is the murderer.
- It’s not the case that Jones is the murderer.
- Smith is the murderer.
Elimination, Valid
Rewrite each argument in standard form, omitting any information that is not part of the argument and clarifying the statements that are not expressed clearly. State the pattern of the reconstructed argument. Then state whether the reconstructed arguments are valid, cogent, or ill-formed.- d. I realize that not everyone agrees with me, but I think that we’d be better off if we made kids go to school twelve months each year. Anything that will make kids learn more will make us better off, and making kids go to school twelve months each year will make them learn more. People who disagree are just afraid to make kids work hard.
- All things that will make kids learn more are things that will make us better off.
- Making kids go to school twelve months each year will make them learn more.
- Making kids go to school twelve months each year will make us better off.
- All As are Bs
- x is an A.
- x is a B.
Valid
a. If something is a baseball, then it is round.
All baseballs are round.
b. Anything that can crawl is either a snake or a worm.
All things that can crawl are either snakes or worms.
c. A person is a student only if the person is registered in some school.
All students are registered in some school.