A
No increases in temperature have been detected following earthquakes.
B
The current theory does not fully explain earthquake data.
C
No one will ever be sure what the true cause of earthquakes is.
D
Earthquakes produce enormous amounts of heat that have so far gone undetected.
E
Contrary to the current theory, earthquakes are not caused by adjoining plates of rock sliding past one another.
A
There was a recession that caused a high level of unemployment in the city.
B
The morale of students who dropped out of high school had been low even before they reached high school.
C
As in the preceding year, more high school students remained in school than dropped out.
D
High schools in the city established placement offices to assist their graduates in obtaining employment.
E
The antidropout program was primarily aimed at improving students’ morale in those high schools with the highest dropout rates.
Sergio: No. Oceans have always been viewed as mysterious and unpredictable—qualities that people have invariably associated with eccentricity.
A
Eccentric humans were considered socially undesirable during the European Renaissance.
B
Oceans have always been viewed as mysterious and unpredictable.
C
The linkage between oceans and eccentricity explains the European Renaissance custom of using ships as asylums.
D
People have never attributed the same qualities to oceans and eccentrics.
E
The linkage between oceans and eccentricity predates the European Renaissance.
Joseph: My encyclopedia says that the mathematician Pierre de Fermat died in 1665 without leaving behind any written proof for a theorem that he claimed nonetheless to have proved. Probably this alleged theorem simply cannot be proved, since—as the article points out—no one else has been able to prove it. Therefore it is likely that Fermat was either lying or else mistaken when he made his claim.
Laura: Your encyclopedia is out of date. Recently someone has in fact proved Fermat’s theorem. And since the theorem is provable, your claim—that Fermat was lying or mistaken—clearly is wrong.
A
It purports to establish its conclusion by making a claim that, if true, would actually contradict that conclusion.
Laura’s premise doesn't support her conclusion well, but it doesn’t contradict her conclusion.
B
It mistakenly assumes that the quality of a person’s character can legitimately be taken to guarantee the accuracy of the claims that person has made.
Laura doesn’t make any claims or assumptions about the quality of Fermat’s character or how his character affects the accuracy of his claims.
C
It mistakes something that is necessary for its conclusion to follow for something that ensures that the conclusion follows.
In order for Laura’s conclusion— that Fermat was neither lying nor mistaken about proving the theorem— to follow, it is necessary that the theorem is actually provable. But the theorem being provable does not ensure that this conclusion follows.
D
It uses the term “provable” without defining it.
It’s true that Laura never defines the term “provable,” but this isn’t an error in her argument. She doesn’t need to define the term.
E
It fails to distinguish between a true claim that has mistakenly been believed to be false and a false claim that has mistakenly been believed to be true.
Laura doesn’t mention either of these kinds of claims, nor does she fail to distinguish between them. Joseph mistakenly believes a true claim— that the theorem is provable— to be false, but this doesn’t describe an error in Laura’s argument.