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No mathematician today would flatly refuse to accept the [#permalink]

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26 Dec 2003, 09:17

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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.

Re: No mathematician today would flatly refuse to accept the [#permalink]

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16 Dec 2013, 13:48

This is shell game, becareful with wording: nonmatemathician, individuals and so on...

asandeep wrote:

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.

Re: No mathematician today would flatly refuse to accept the [#permalink]

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16 Dec 2013, 16:58

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.

Fact set is as follows: 1. All mathematicians today would accept the results of an enormous computation. 2. In 1967, Some mathematicians did not accept the results of a complex computer demonstration(of a very simple mapping theorem). 3. Some mathematicians today hold that a simple theorem ought to have a short, simple proof.

From 1. and 3. above, it is clear that statement 3. is a subset of statement 1. Hence both can run simultaneously. Hence correct ans 'A'. Since we are talking only of mathematicians bal answers are wrong.

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