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请教高手一道逻辑题

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楼主
发表于 2008-7-8 12:00:00 | 只看该作者

请教高手一道逻辑题

Either Perry’s faction or Tucker’s faction , but not both , will win control of the government. If Perry’s faction win , the nation will suffer economically. If Tucker’s faction wins , the nation will suffer militarily.

Given the statements in the passages, which one of the following statements must be true?

(A) It is possible , but not certain , that the nation will neither suffer economically nor suffer militarily.

(B) If the nation suffers economically , it is certain that Perry’s fraction has won control of the government.

(C) It is certain that the nation will suffer either economically or militarily ,and also certain that it will not suffer both.

(D) If the nation suffer militarily , it is possible , but not certain , that Tucker’s faction has won control of the government.

(E) If the nation suffers both economically and militarily , it is certain that neither Perry’s faction or Tucker’s has won control of the government.

我的思维过程是:P(Perry)推出非T(tucker),T推出非P , P 推出SE(suffer economically), T推出SM(suffer militarily)

但是答案是D, SM推出T,不知道何解,请高手解答


[此贴子已经被作者于2008-7-8 12:00:44编辑过]
沙发
发表于 2013-6-5 18:53:42 | 只看该作者
cjamesc 发表于 2008-7-8 12:00
Either Perry’s faction or Tucker’s faction , but not both , will win control of the government. If ...

14.   Either Perry’s faction or Tucker’s faction, but not both, will win control of the government. If Perry’s faction wins, the nation will suffer economically. If Tucker’s faction wins, the nation will suffer militarily.
Given the statements in the passage, which one of the following statements must be true?
(A) It is possible, but not certain, that the nation will neither suffer economically nor suffer militarily.
(B) If the nation suffers economically, it is certain that Perry’s faction has won control of the government.
(C) It is certain that the nation will suffer either economically or militarily, and also certain that it will not suffer both.
不知道not both的情况下,the nation will suffer what? 不要自己添加假设
(D) If the nation suffers militarily, it is possible, but not certain, that Tucker’s faction has won control of the government.
when you have an if-then statement, say 'if P, then Q' (where P and Q are statements), then you DO know the following:
if you know P --> then you definitely know Q
if you know NOT Q --> then you definitely know NOT P

you DON'T know the following:
if you know Q --> then you DON'T necessarily know P
if you know NOT P --> then you DON'T necessarily know NOT Q
D
(E) If the nation suffers both economically and militarily, it is certain that neither Perry’s faction nor Tucker’s has won control of the government.
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