- Mon Jan 20, 2014 12:00 am
#72533
Complete Question Explanation
Weaken-SN. The correct answer choice is (E)
This problem is a complete conditional argument containing conditional
premises and a conditional conclusion. Here is a breakdown of the
argument:
HT = nations that place a high tax on income
NI = negative incentive for technological innovation
FB = fall behind in the international arms race; also, wind up in a
strategically disadvantageous position
LV = lose voice in world affairs
The first sentence contains two sufficient condition indicators (the word
“all”) and can be diagrammed as a chain:
HT NI FB
The next sentence paraphrases “fall behind in the international arms
race” as “wind up in a strategically disadvantageous position” and can be
diagrammed as:
FB LV
Because the two statements have FB in common, a single long chain can
be created:
HT NI FB LV
From our discussion of conditional reasoning we know that a chain of this
length contains many inferences. The conclusion, when paraphrased, tries
to make a contrapositive:
The phrase “nation wants to maintain its value system and way of
life” is a very rough equivalent of “not wind up in a strategically
disadvantageous position” and “not lose a voice in world affairs.”
The paraphrase is not a perfect equivalent because the conclusion
discusses values, and the premises do not. For our purposes, we
will symbolize this condition as:
FB
and
LV
The phrase “must not allow its highest tax bracket to exceed 30
percent of income” is the equivalent of HT. Thus, the diagram for
the conclusion is:
FB
and HT30
LV
Thus, based on the chain of reasoning provided, we have a reasonable
conclusion, but not a perfect one because the paraphrase was not exact.
The question stem is a WeakenX, which means that four of the answers
will weaken the argument and the one correct answer will either have no
effect on the argument or will strengthen the argument.
Answer choice (A): This answer attacks the necessary condition of the
conclusion by showing that taxes could exceed 30% before problems
occurred.
Answer choice (B): This answer attacks the first half of the first sentence,
which states that high taxes necessarily produce a negative incentive for
technological innovation. Because taxes lower an individual’s income,
the higher the tax, the greater the relative restriction on making money.
Answer choice (B) shows that higher taxes would not necessarily produce
low innovation because innovators do not care about the amount they earn.
Answer choice (C): This answer attacks the part of the argument that
equates “fall behind in the international arms race” as “wind up in a
strategically disadvantageous position.” If the two are not equated, then the
chain of premises breaks down.
Answer choice (D): Like (C), this attacks a portion of the argument where
the author equates terms. In this case, the paraphrase in the conclusion was
not exact, and this answer exploits that gap.
Answer choice (E): This is the correct answer. The answer does not hurt
the argument because the stimulus specifically states that “Those nations
that, through historical accident or the foolishness of their political
leadership, wind up in a strategically disadvantageous position....” So,
the actual reason the nation ends up in a disadvantageous position is not
critical. It could be either foolishness or historical accident. Thus, an
answer that asserts that it is foolishness and not historical accident has no
effect on the argument.
Weaken-SN. The correct answer choice is (E)
This problem is a complete conditional argument containing conditional
premises and a conditional conclusion. Here is a breakdown of the
argument:
HT = nations that place a high tax on income
NI = negative incentive for technological innovation
FB = fall behind in the international arms race; also, wind up in a
strategically disadvantageous position
LV = lose voice in world affairs
The first sentence contains two sufficient condition indicators (the word
“all”) and can be diagrammed as a chain:
HT NI FB
The next sentence paraphrases “fall behind in the international arms
race” as “wind up in a strategically disadvantageous position” and can be
diagrammed as:
FB LV
Because the two statements have FB in common, a single long chain can
be created:
HT NI FB LV
From our discussion of conditional reasoning we know that a chain of this
length contains many inferences. The conclusion, when paraphrased, tries
to make a contrapositive:
The phrase “nation wants to maintain its value system and way of
life” is a very rough equivalent of “not wind up in a strategically
disadvantageous position” and “not lose a voice in world affairs.”
The paraphrase is not a perfect equivalent because the conclusion
discusses values, and the premises do not. For our purposes, we
will symbolize this condition as:
FB
and
LV
The phrase “must not allow its highest tax bracket to exceed 30
percent of income” is the equivalent of HT. Thus, the diagram for
the conclusion is:
FB
and HT30
LV
Thus, based on the chain of reasoning provided, we have a reasonable
conclusion, but not a perfect one because the paraphrase was not exact.
The question stem is a WeakenX, which means that four of the answers
will weaken the argument and the one correct answer will either have no
effect on the argument or will strengthen the argument.
Answer choice (A): This answer attacks the necessary condition of the
conclusion by showing that taxes could exceed 30% before problems
occurred.
Answer choice (B): This answer attacks the first half of the first sentence,
which states that high taxes necessarily produce a negative incentive for
technological innovation. Because taxes lower an individual’s income,
the higher the tax, the greater the relative restriction on making money.
Answer choice (B) shows that higher taxes would not necessarily produce
low innovation because innovators do not care about the amount they earn.
Answer choice (C): This answer attacks the part of the argument that
equates “fall behind in the international arms race” as “wind up in a
strategically disadvantageous position.” If the two are not equated, then the
chain of premises breaks down.
Answer choice (D): Like (C), this attacks a portion of the argument where
the author equates terms. In this case, the paraphrase in the conclusion was
not exact, and this answer exploits that gap.
Answer choice (E): This is the correct answer. The answer does not hurt
the argument because the stimulus specifically states that “Those nations
that, through historical accident or the foolishness of their political
leadership, wind up in a strategically disadvantageous position....” So,
the actual reason the nation ends up in a disadvantageous position is not
critical. It could be either foolishness or historical accident. Thus, an
answer that asserts that it is foolishness and not historical accident has no
effect on the argument.