Critical Thinking: Reason and Evidence D265 Flashcards
Propositions
Statements that can be true or false.
Non-propositions
Sentences that are not statements about matters of fact (or fiction). They do not make a claim that can be true or false.
Which sentence is a non-proposition?
- If the burglar did not go out the front door, they must have gone out a window.
- The earth is the third planet from the sun.
- Where are the keys to my car?
- Mount Everest is the tallest mountain in the world.
Where are the keys to my car?
Did the company really close that deal? It has had a great year. Where is the president right now? Let’s go ask whether the deal was closed.
In the above paragraph, which sentence expresses a proposition?
- Where is the president right now?
- Did the company really close that deal?
- Let’s go ask whether the deal was closed.
- It has had a great year.
It has had a great year.
Simple proposition
Simple propositions have no internal logical structure, meaning whether they are true or false does not depend on whether part of them is true or false. They are simply true or false on their own.
Complex propositions
Complex propositions have internal logical structure, meaning they are composed of simple propositions. Whether they are true or false depends on whether their parts are true or false.
Which sentence expresses a complex proposition?
- Birthday parties can be really fun.
- The cat ate the food, but did not like it.
- Too many employees are used to high-stress work environments in the United States.
- Why did the monkey escape, and who is responsible?
The cat ate the food, but did not like it.
If the computer is not fixed, then the company either needs to buy a new one or will not be able to keep up productivity.
Which of the following breaks down the complex proposition above into the simple propositions?
- If the computer is not fixed, then the company needs to buy a new one. The company will not be able to keep up productivity.
- The computer is not fixed. The company needs to buy a new computer. The company will not be able to keep up productivity.
- The computer is not fixed. The company either needs to buy a new one or will not be able to keep up productivity.
- The company does not have enough computers.
The computer is not fixed. The company needs to buy a new computer. The company will not be able to keep up productivity.
If the new employee wants to succeed, then they need to show up on time. How many times have we heard the manager complain about tardiness? Nobody likes a 7 a.m. start time, but it was in the job description. We should remind the new employee how important this is.
Which is a simple proposition that is expressed in the above paragraph?
- The new employee wants to succeed.
- How many times have we heard the manager complain about tardiness?
- The employees look out for each other.
- If the new employee wants to succeed, then they need to show up on time.
The new employee wants to succeed.
The U.S. healthcare system is difficult to navigate, and this negatively affects many of us. Many people are unsure exactly how their health insurance coverage works and are not sure where they can go to get care. What can be done to improve this? If changes are not made soon, the problem will only get worse.
Which is a simple proposition that is expressed in the above paragraph?
- Many people are not sure where they can go to get care.
- The U.S. healthcare system is difficult to navigate, and this negatively affects many of us.
- What can be done to improve this?
- Many people are unsure exactly how their health insurance coverage works and are not sure where they can go to get care.
Many people are not sure where they can go to get care.
Bad inferential structure
Every argument with the same structure as this argument is bad (invalid or weak). The premises do not, in fact, demonstrate or maybe even support the conclusion. In other words, we can accept the premises as true without being compelled to accept the conclusion. There is something wrong with this argument’s general structure.
False premise
This particular argument has a premise/assumption that is false. There is something wrong with this argument’s particular content.
Conclusion Indicators
Therefore, so, it follows that, hence, thus, entails that, we may conclude that, implies that, wherefore, as a result
Premise Indicators
Because, for, given that, in that, as, since, as indicated by
“Since we cannot go out until the restaurant opens, and given that we are trying to save money, we should just hang out here until closer to dinner.”
Which statements are the premises of the following argument? Choose 2 answers.
- We cannot go out until the restaurant opens.
- We are trying to save money.
- We should just hang out here until closer to dinner.
- We can have a good time without spending money.
- We cannot go out until the restaurant opens.
- We are trying to save money.
Most students in the class scored less than 70% on the exam. This means that the exam was too difficult to accurately assess student learning. Therefore, as exams are supposed to accurately assess student learning, the exam must be revised and readministered.
Which statement is the conclusion of the above argument?
- The exam must be revised and readministered.
- Some students in the class scored higher than 70% on the exam.
- Exams are supposed to accurately assess student learning.
- Most students in the class scored less than 70% on the exam.
The exam must be revised and readministered
Which sentences are arguments? Choose 2 answers.
- We know the student cheated on the exam because the instructor caught the student stealing glances at their neighbor’s test.
- The student only cheated on the exam because their financial aid depended on it.
- No one has ever been to the moon, so we do not know that it is not made of cheese.
- If you suspect you have been infected with rabies, then you should contact a medical professional immediately.
- We know the student cheated on the exam because the instructor caught the student stealing glances at their neighbor’s test.
- No one has ever been to the moon, so we do not know that it is not made of cheese.
Which pairs of sentences are arguments? Choose 2 answers.
- Every time I walk by here, Chris is doing nothing. Chris must not do anything with the available time.
- We need to act now to reverse greenhouse gas emissions. If we do not, the earth will soon become inhospitable to human life.
- John Lennon was shot and killed. So were Bobby Kennedy and his brother John.
- One student cheated on the test. But it was only because the student felt ill prepared.
- Every time I walk by here, Chris is doing nothing. Chris must not do anything with the available time.
- We need to act now to reverse greenhouse gas emissions. If we do not, the earth will soon become inhospitable to human life.
I just heard the news about Riley’s car. It was vandalized last Saturday. There is no doubt Jordan did it. I went to the bowling alley that night. I bowled a 160! Anyway, I saw Jordan there and, although it was barely noticeable, I definitely saw paint on Jordan’s shirt. It is unlikely there would be paint on Jordan’s shirt unless Jordan had spray-painted Riley’s car. It is a shame, really, since it was such a nice shirt. It was the green one. Oh, and you know Jordan has motive. After all, Jordan has a well-known grudge against Riley. You remember when Riley borrowed Jordan’s lawnmower and did not return it. And there was opportunity, because Jordan does not work on the weekend and usually stays home watching television. But the lightning storm earlier last week short-circuited Jordan’s TV set. Besides, they canceled Jordan’s favorite Saturday evening show.
Which description best characterizes the above?
- A story
- An argument
An argument
Kinds of Inferences
Deduction
Induction
Inference to the best explanation or abduction
Deduction
arguments where the premises guarantee or necessitate the conclusion
— mathematical arguments, logical arguments, arguments from definition
Induction
arguments where the premises make the conclusion probable
— analogies, authority, causal inferences, scientific reasoning, extrapolations, etc.
Inference to the best explanation or abduction
arguments where the best available explanation is chosen as the correct explanation
Truth
A true proposition accurately represents reality.
Validity
In a good deductive argument structure, true premises make the conclusion necessarily true. (If not, it is an invalid structure.)
Sound Argument
All True Premises + Valid Structure
Soundness
The deductive argument is valid, and all premises are true premises. (If not, it is an unsound argument.)
Strength
In a strong inductive argument, true premises make the conclusion probably true.
Cogency
Strong inductive arguments with all true premises are cogent.
Consider the following argument: Smith inspected 990 jellybeans in the jar. Each of the beans Smith inspected is red. Therefore, all 1000 of the beans in the jar are red.
Which kind of argument is this?
- A strong argument
- Deductive argument
- A weak argument
- A valid argument
A strong argument
Some arguments are such that the premises of the argument entail its conclusion, which means that if the premises are true, then the conclusion must be true.
What are such arguments called?
- Inductive arguments
- Abductive arguments
- Fallacious arguments
- Valid arguments
Valid arguments
Consider the following argument: If Jones is a baseball player, then Jones is an athlete. Jones is a baseball player. Thus, Jones is an athlete.
Which kind of argument is this?
- A conditional proposition
- A valid argument
- A strong argument
- An invalid argument
A valid argument
In deductive reasoning, what is the difference between validity and soundness?
- Validity concerns the truth of an argument’s premises, but soundness requires a high degree of probability.
- Validity only concerns the structure of an argument, but soundness requires both validity and true premises.
- Validity concerns an argument’s probability, but soundness requires clearly defined terms.
- Validity concerns the inductive strength of an argument, but soundness requires both strength and plausible premises.
Validity only concerns the structure of an argument, but soundness requires both validity and true premises.
Which sentences reflect strong critical thinking? Choose 2 answers.
- I disagree with my opponent’s position on this issue, but I respect my opponents and I am curious to hear their thoughts on the matter.
- I know that issues can be complicated, and that it is often difficult to determine the best approach to a problem.
- Unlike some others, I do not jump to conclusions, nor am I biased.
- While I am open to discussion on the topic, I am committed to my position because I know it is right.
- I disagree with my opponent’s position on this issue, but I respect my opponents and I am curious to hear their thoughts on the matter.
- I know that issues can be complicated, and that it is often difficult to determine the best approach to a problem.
Which sentences are propositions? Choose 2 answers.
- Hey, let’s go to lunch at noon today.
- Mangino’s has the best pizza.
- They will likely put the other restaurants out of business.
- Do you like Mangino’s pizza?
- Mangino’s has the best pizza.
- They will likely put the other restaurants out of business.
Which statement is a simple proposition?
- Because I was dressed for work, I took an umbrella and ran to my car.
- I had a work deadline approaching, so I ate lunch at my desk and finished my work.
- I stopped at the grocery store and bought some milk.
- By noon, the sun was shining.
By noon, the sun was shining.
Which indicator is a premise indicator?
- Hence
- Because
- Thus
- Therefore
Because
Because flying cars will relieve traffic congestion, and since the research and development of such vehicles will be expensive, it follows that the government should encourage industry to develop flying cars and banks should help fund industry research.
Which phrases contain conclusions of this argument? Choose 2 answers.
- Flying cars will relieve traffic congestion
- The research and development of such vehicles will be expensive
- The government should encourage industry to develop flying cars
- Banks should help fund industry research
- The government should encourage industry to develop flying cars
- Banks should help fund industry research
Dogs are bred for many different purposes. Poodles, for example, make good house pets, while German shepherds and other large breeds can be used for home protection. Therefore, because it is important to select the right breed for your needs, you should carefully research dog breeds to make the right choice.
Which statement is the conclusion of the argument?
- German shepherds and other large breeds can be used for home protection.
- Dogs are bred for many different purposes.
- You should carefully research dog breeds to make the right choice.
- It is important to select the right breed for your needs.
You should carefully research dog breeds to make the right choice.
Everyone should vote ___________________.
Which phrase would form an argument when added to this sentence?
- because it is their duty
- for the most honest candidate
- in their assigned district
- before the deadline
because it is their duty
People have fought for freedom since the beginning of time.
Which descriptor best characterizes this sentence?
- Proposition
- Inference
- Weak argument
- Strong argument
Proposition
Jordan says, “I am the best student at our high school; I am the tallest and most athletic, and I have the best car.” Taylor, Jordan’s best friend, totally agrees.
Which two descriptors best characterize Jordan’s comments? Choose two answers.
- Weak argument
- Proposition
- Inference
- Strong argument
- Weak argument
- Inference
All dogs are cute. Ginger is a dog. Therefore, Ginger is cute.
Which type of reasoning is illustrated in this example?
- Deductive
- Invalid
- Inductive
- Abductive
Deductive
Usually when the audience comes out of a theater laughing, that means the film was funny. The audience leaving the theater after this film is laughing. So the film probably is funny.
Which type of reasoning is illustrated in this example?
- Valid
- Sound
- Inductive
- Deductive
Inductive
All dogs can fly. Ginger is a dog. Therefore, Ginger can fly.
Which types of reasoning are illustrated in this example? Choose 2 answers.
- Deductive
- Valid
- True
- Sound
- Deductive
- Valid
An individual drops hundreds of objects, and each time they fall to the ground. The individual therefore concludes that if someone drops a pencil, it will fall.
Which terms describe the argument? Choose 2 answers.
- Deductive
- Valid
- Strong
- Cogent
- Strong
- Cogent
If I am bald, then I am old. I am old. Therefore, I am bald.
Which type of logic error is this an example of?
- Begging the question
- The fallacy fallacy
- Denying the antecedent
- Affirming the consequent
Affirming the consequent
If I am a soldier, then I am brave. I am not a soldier. Therefore, I am not brave.
Which type of logic error is this an example of?
- Affirming the consequent
- Denying the antecedent
- Begging the question
- The fallacy fallacy
Denying the antecedent
One should never cheat on a test, since cheating is wrong.
Which type of logic error is this an example of?
- Affirming the consequent
- Denying the antecedent
- Begging the question
- The fallacy fallacy
Begging the question