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# Joseph: My encyclopedia says that the mathematician Pierre

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Manager
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Joseph: My encyclopedia says that the mathematician Pierre [#permalink]

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16 Jul 2004, 00:52
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Question Stats:

100% (01:23) correct 0% (00:00) wrong based on 1 sessions

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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Laura: Your encyclopedia is out of date.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.

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 been believed to be
false and a false claim that has mistakenly
been believed to be true.

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Senior Manager
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Re: CR: Pierre Ferma [#permalink]

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16 Jul 2004, 01:22
I think it is C by POE

A - I see no contradiction between the claim "Recently
someone has in fact proved Fermat's
theorem." and the conclusion "And since the theorem is provable,
your claim-that Fermat was lying or
mistaken-clearly is wrong.".

B - 'Person's character' makes it out of scope

D - 'provable' makes sense with the context

E - I see no 'true claim bla bla' and no 'false claim bla bla'

As for C,

The statement "Recently someone has in fact proved Fermat's
theorem" is necessary for the conlusion but not sufficient enough. That points out the error.

OlegC wrote:
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.

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 been believed to be
false and a false claim that has mistakenly
been believed to be true.

_________________

Awaiting response,

Thnx & Rgds,
Chandra

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Joined: 15 Dec 2003
Posts: 4285

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16 Jul 2004, 02:40
I got C (1min by POE)
A) The conclusion would have been true if Laura's claim is true. Well, the conditional relationship needs not be here because Laura's claim IS true. There is no uncertainty about her claim that the theorem was actually proven.
C) What is necessary for the conclusion is that we find some proof that Fermat did leave behind some proofs of the theorem he claimed to have solved. Laura misinterprets the conclusion by saying that the theorem has been proved. Hence, Fermat did not lie about the solvability of the theorem. However, we are NOT interested in whether Fermat's theorem was solvable in order to prove the conclusion; rather, we are interested in finding proofs that Fermat could solve it himself.
_________________

Best Regards,

Paul

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Senior Manager
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16 Jul 2004, 02:47
IMO C it is.

Josephs conclusion requires an evidence, and based on that evidence it is "LIKELY" that "ferret was either lying or not'. While Laura's conclusion mistook that Joseph was sure that 'ferret was lying', while Joseph said it is likely.

I think likely is a key here, It could be either true that Ferret was lying or it could be false that Ferret was not lying.

(A) is wrong because claim will not contradict the conclusion.

(B) IMO irrelevant

(D) Irrelevant

(E) Again Irrelevant to me.

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16 Jul 2004, 09:02
2 min
C
I also got it by POE
came down to E and C, but E is just outright wrong

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SVP
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16 Jul 2004, 09:59
A

We do not know if Fermet has proved it or not. So he may be lying or wrong. If someone else has proved it then it is true for sure that he was lying or wrong, or it is not possible to prove that he was not lying or wrong. This is a very hard question.

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Director
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16 Jul 2004, 10:14
Late in the game, but agree with C (1min 30s approx)

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Manager
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16 Jul 2004, 10:54
90 sec.

Narrowed down to C using POE...the rest mad eno sense

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Manager
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19 Jul 2004, 00:08
OA is C

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19 Jul 2004, 00:16
GREAT
_________________

--

./abisurd
Not absurd

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19 Jul 2004, 00:16
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# Joseph: My encyclopedia says that the mathematician Pierre

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