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No mathematician today would flatly refuse to accept the [#permalink]
 23 Sep 2003, 09:24
Question Stats:
58% (03:06) correct
41% (02:18) wrong based on 0 sessions
12. No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstration of the truth of a theorem. In 1976, however, this was not the case. Some mathematicians at that time refused to accept the results of a complex computer demonstration of a very simple mapping theorem. Although some mathematicians still hold a strong belief that a simple theorem ought to have a short, simple proof, in fact, some simple theorems have required enormous proofs.
If all of the statements in the passage are true, which one of the following must also be true?
(A) Today, some mathematicians who believe that a simple theorem ought to have a simple proof would consider accepting the results of an enormous computation as a demonstration of the truth of a theorem.
(B) Some individuals who believe that a simple theorem ought to have a simple proof are not mathematicians.
(C) Today, some individuals who refuse to accept the results of an enormous computation as a demonstration of the truth of a theorem believe that a simple theorem ought to have a simple proof.
(D) Some individuals who do not believe that a simple theorem ought to have a simple proof would not be willing to accept the results of an enormous computation as proof of a complex theorem.
(E) Some nonmathematicians do not believe that a simple theorem ought to have a simple proof.
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tough one....i would say A.....
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A
Real tough one.
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Brainless
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Brainless wrote: A
Real tough one.
Guy/Brain
you are right
Can you explain please
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Re: CR - Mathematicians [#permalink]
23 Sep 2003, 14:59
It's A. If you look at the first sentence, it says that "No mathematician today would flatly refuse...an enormous computation as a...demonstration of the truth of a theorem."
What this means is that even those who believe simple thms should have simple proofs will consider complex computations. If answer A was false (that there are some mathematicians who would not consider complex comps as thm proofs), the first sentence of the problem would not be true.
praetorian123 wrote: 12. No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstration of the truth of a theorem. In 1976, however, this was not the case. Some mathematicians at that time refused to accept the results of a complex computer demonstration of a very simple mapping theorem. Although some mathematicians still hold a strong belief that a simple theorem ought to have a short, simple proof, in fact, some simple theorems have required enormous proofs.
If all of the statements in the passage are true, which one of the following must also be true?
(A) Today, some mathematicians who believe that a simple theorem ought to have a simple proof would consider accepting the results of an enormous computation as a demonstration of the truth of a theorem.
(B) Some individuals who believe that a simple theorem ought to have a simple proof are not mathematicians.
(C) Today, some individuals who refuse to accept the results of an enormous computation as a demonstration of the truth of a theorem believe that a simple theorem ought to have a simple proof.
(D) Some individuals who do not believe that a simple theorem ought to have a simple proof would not be willing to accept the results of an enormous computation as proof of a complex theorem.
(E) Some nonmathematicians do not believe that a simple theorem ought to have a simple proof.
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jlyngal is correct...the first sentence is the crucial detail...
No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstration of the truth of a theorem.
this basically says that b/c "no mathematician today would flatly refuse to accept" there are AT LEAST SOME mathematicians that would CONSIDER accepting.....
look at it this way, if they are not FLATLY refusing the data...then they must be AT LEAST CONSIDERING IT....
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Status: I will not stop until i realise my goal which is my dream too
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Re: No mathematician today would flatly refuse to accept the [#permalink]
30 Jul 2012, 07:05
Praetorian wrote: 12. No mathematician today would flatly refuse to accept the results of an enormous computation as an adequate demonstration of the truth of a theorem. In 1976, however, this was not the case. Some mathematicians at that time refused to accept the results of a complex computer demonstration of a very simple mapping theorem. Although some mathematicians still hold a strong belief that a simple theorem ought to have a short, simple proof, in fact, some simple theorems have required enormous proofs.
If all of the statements in the passage are true, which one of the following must also be true?
(A) Today, some mathematicians who believe that a simple theorem ought to have a simple proof would consider accepting the results of an enormous computation as a demonstration of the truth of a theorem.
(B) Some individuals who believe that a simple theorem ought to have a simple proof are not mathematicians.
(C) Today, some individuals who refuse to accept the results of an enormous computation as a demonstration of the truth of a theorem believe that a simple theorem ought to have a simple proof.
(D) Some individuals who do not believe that a simple theorem ought to have a simple proof would not be willing to accept the results of an enormous computation as proof of a complex theorem.
(E) Some nonmathematicians do not believe that a simple theorem ought to have a simple proof. A. as it mentions the same conclusion...B. it talks of some individuals...not mathematicians C. it again talks of some individuals...not mathematicians D. it again talks of some individuals...not mathematicians E. it is comparing mathematicians vs non-mathematicians..hence out of scope so A is the answer
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Re: No mathematician today would flatly refuse to accept the
[#permalink]
30 Jul 2012, 07:05
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