Small experimental vacuum tubes can operate in heat that makes semiconductor components fail. Any component whose resistance to heat is greater than that of semiconductors would be preferable for use in digital circuits, but only if that component were also comparable to semiconductors in all other significant respects, such as maximum current capacity. However, vacuum tubes’ maximum current capacity is presently not comparable to that of semiconductors.

Summary
The stimulus can be diagrammed as follows:

Notable Valid Inferences
Vacuum tubes are not currently preferable to semiconductors for use in digital circuits.

A
Vacuum tubes are not now preferable to semiconductors for use in digital circuits.
Must be true. In order to be preferable to semiconductors for use in digital circuits, vacuum tubes would to be comparable to semiconductors in all significant respects. Because vacuum tubes are not comparable in terms of current capacity, they are not now preferable.
B
Once vacuum tubes and semiconductors have comparable maximum current capacity, vacuum tubes will be used in some digital circuits.
Could be false. We don’t know if vacuum tubes are comparable to semiconductors in all other significant respects, so we don’t know if they would be preferable even with increased current capacity. Even if they were preferable, that doesn’t necessarily mean they would be used.
C
The only reason that vacuum tubes are not now used in digital circuits is that vacuum tubes’ maximum current capacity is too low.
Could be false. The stimulus doesn’t tell us whether or not vacuum tubes are comparable to semiconductors in any way other than current capacity and heat resistance—maybe they’re deficient in other respects!
D
Semiconductors will always be preferable to vacuum tubes for use in many applications other than digital circuits.
Could be false. The stimulus tells us absolutely nothing about whether or not semiconductors are preferable to vacuum tubes in applications other than digital circuits.
E
Resistance to heat is the only advantage that vacuum tubes have over semiconductors.
Could be false. Maybe vacuum tubes have other advantages besides heat resistance! The stimulus does not rule out this possibility.

9 comments

University administrator: Any proposal for a new department will not be funded if there are fewer than 50 people per year available for hire in that field and the proposed department would duplicate more than 25 percent of the material covered in one of our existing departments. The proposed Area Studies Department will duplicate more than 25 percent of the material covered in our existing Anthropology Department. However, we will fund the new department.

Summary

The stimulus can be diagrammed as follows:

Notable Valid Inferences

Some proposals duplicate more than 25% of the material covered in an existing department and are still funded.

There are 50+ people per year available for hire in the field of Area Studies.

A
The field of Area Studies has at least 50 people per year available for hire.

Must be true. The necessary condition for funding is: the department must not duplicate >25% of an existing department’s material, or the hiring availability threshold of 50/year must be met. The proposal duplicates >25% and will be funded, so the hiring condition must be true.

B
The proposed Area Studies Department would not duplicate more than 25 percent of the material covered in any existing department other than Anthropology.

Could be false. We have no information about whether the proposed Area Studies Department duplicates material covered in any existing department other than Anthropology, and the stimulus gives us no way to draw this inference.

C
If the proposed Area Studies Department did not duplicate more than 25 percent of the material covered in Anthropology, then the new department would not be funded.

Could be false. “/Duplicate” is not a sufficient condition for funding, so we can’t infer anything about whether the Area Studies Department would be funded if it did not duplicate more than 25% of the material covered in Anthropology (or any other department).

D
The Anthropology Department duplicates more than 25 percent of the material covered in the proposed Area Studies Department.

Could be false. If there’s more material covered in the proposed Area Studies Department than there is in the Anthropology Department, it’s possible that the Anthropology material could fail to duplicate more than 25% of the Area Studies material.

E
The field of Area Studies has fewer than 50 people per year available for hire.

Must be false. The necessary condition for funding is: the department must not duplicate >25% of an existing department’s material, or the hiring availability threshold of 50/year must be met. The proposal duplicates >25%, so there must be 50+ people available to hire per year.


24 comments

Although some nutritional facts about soft drinks are listed on their labels, exact caffeine content is not. Listing exact caffeine content would make it easier to limit, but not eliminate, one’s caffeine intake. If it became easier for people to limit, but not eliminate, their caffeine intake, many people would do so, which would improve their health.

Summary
The stimulus can be diagrammed as follows:

Notable Valid Inferences
If exact caffeine content were listed on soft drink labels, some people would limit their caffeine intake.
If it became easier for people to limit their caffeine intake, some people’s health would improve.
If exact caffeine content were listed on soft drink labels, some people’s health would improve.

A
The health of at least some people would improve if exact caffeine content were listed on soft-drink labels.
Must be true. As shown in the stimulus diagram, if caffeine content is listed, it’s easier to limit intake; if it it’s easier to limit intake, some people would; if people do, their health improves. So “list caffeine content” is a sufficient condition for “improve their health”!
B
Many people will be unable to limit their caffeine intake if exact caffeine content is not listed on soft-drink labels.
Could be false. Answer choice (B) has a negation issue: it takes a statement from the stimulus (list caffeine content → easier to limit) and negates the sufficient condition. We can’t draw conclusions from negated sufficient conditions—that’s like taking half the contrapositive!
C
Many people will find it difficult to eliminate their caffeine intake if they have to guess exactly how much caffeine is in their soft drinks.
Could be false. The stimulus doesn’t tell us anything about what happens if people have to guess how much caffeine is in their soft drinks; we only have information about what happens if the caffeine content is listed.
D
People who wish to eliminate, rather than simply limit, their caffeine intake would benefit if exact caffeine content were listed on soft-drink labels.
Could be false. The stimulus doesn’t tell us anything about people who wish to eliminate their caffeine intake; we only have information about some people who would limit their intake if soft drink labels listed exact content.
E
The health of at least some people would worsen if everyone knew exactly how much caffeine was in their soft drinks.
Could be false. While we know that some people’s health would improve if they could see soft drinks’ caffeine content on the label, we know nothing about people outside that group—maybe some people’s health would worsen, or maybe everyone else’ health would stay the same.

10 comments

Musicologist: Many critics complain of the disproportion between text and music in Handel’s da capo arias. These texts are generally quite short and often repeated well beyond what is needed for literal understanding. Yet such criticism is refuted by noting that repetition serves a vital function: it frees the audience to focus on the music itself, which can speak to audiences whatever their language.

Summarize Argument: Counter-Position

The musicologist argues that critics’ disapproval of the imbalance between the short, repetitive texts and the music in Handel's da capo arias can be refuted. This is because the critics overlook the important role of repetition. Repetition allows the audience to concentrate on the music, which can communicate universally, regardless of language.

Identify Conclusion

The conclusion is the musicologist’s claim that the critics’ criticism of the imbalance between the short, repetitive texts and the music in Handel’s da capo arias can be refuted: “such criticism is refuted”.

A
Handel’s da capo arias contain a disproportionate amount of music.

This is context. It provides background on a common criticism of Handel’s da capo arias.

B
Handel’s da capo arias are superior to most in their accessibility to diverse audiences.

The musicologist does not make this claim. While the nature of the repetition allows it to speak to audiences regardless of language, the musicologist does not compare this ability to other music.

C
At least one frequent criticism of Handel’s da capo arias is undeserved.

This is the main point of the musicologist’s reasoning, which is that while many critics complain of the imbalance between the text and music in Handel’s da capo arias, this criticism can be refuted. In other words, it is undeserved.

D
At least some of Handel’s da capo arias contain unnecessary repetitions.

The musicologist does not claim the repetitions are unnecessary. The musicologist instead claims the repetitions serve a vital function.

E
Most criticism of Handel’s da capo arias is unwarranted.

This is not the musicologist’s conclusion. The conclusion is that one specific criticism of Handel’s da capo arias can be refuted, not that most criticisms can be.


2 comments