Questions 49-50 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 Laura: Your encyclopedia is out of date.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.
49. Joseph’s statement that “this alleged theorem simply cannot be proved” plays which one of the following roles in his argument? (A) an assumption for which no support is offered (B) a subsidiary conclusion on which his argument’s main conclusion is based (C) a potential objection that his argument anticipates and attempts to answer before it is raised (D) the principle claim that his argument is structured to refute (E) background information that neither supports nor undermines his argument’s conclusion
Answer is B , why not be A???
50. Which one of the following most accurately describes a reasoning error in Laura’s argument? (A) It purports to establish its conclusion by making a claim that, if true, would actually contradict that 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. (C) It mistakes something that is necessary for its conclusion to follow for something that ensures that the conclusion follows. (D) It uses the term “provable” without defining it. (E) It fails to distinguish between a true claim that has mistakenly between believed to be false and a false claim that has mistakenly been believed to be true.
第一题说的是 without leaving behind any written proof for a theorem 所以this alleged theorem simply cannot be proved 所以 it is likely that Fermat was either lying or else mistaken when he made his claim. 这个逻辑关系就是B中所说的了
第一个人说My encyclopedia says that the mathematician Pierre de Fermat died in 1665 without leaving behind any written proof 第二个人因为这个非儿马定理现在被证明出来了，就得出结论说百科全书是错的 这个逻辑本身就有问题 这个true claim就是第一个人说的，mathematician Pierre de Fermat died in 1665 without leaving behind any written proof for a theorem that he claimed nonetheless to have proved. 而false claim就是说百科全书是错的
(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.
以下是引用algal在2004-1-29 19:03:00的发言： (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.
ostricherr 发表于 2004-1-28 17:21
Questions 49-50 Joseph: My encyclopedia says that the mathematician Pierre de Fermat died in 1665 wi ...
又是一大堆人在亂七八糟順著錯誤的答案給解釋, 尤其又是番茄炒蛋, 馬後砲人人會放, 事後諸葛一堆。
Joseph 的邏輯很簡單
（ No written proof for the theorem claimed to be proved ) + ( no one else has been able to prove it ) -> Fermat was either lying or else mistaken when he made the claim
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发表于 2004-1-28 17:21:00
