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21 Jan 2020, 09:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
68% (02:24) correct
32%
(02:28)
wrong
based on 946
sessions
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Not Attempted Yet
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.
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.
29 Jan 2020, 09:38
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This is spot the shell-game-option question. IN must be true questions all part of the option has to be true. Mathematicians are termed individuals in Option B, C, D E.
Only option A is talking about mathematicians. And A indeed is correct answer as simple theorems can have complicated and lengthy proofs.
Only option A is talking about mathematicians. And A indeed is correct answer as simple theorems can have complicated and lengthy proofs.
12 Apr 2021, 07:30
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Bunuel
OFFICIAL EXPLANATION
(A) Yes. The first sentence says that all mathematicians today accept enormous computations as adequate proof of some theorems. And the last sentence says some mathematicians long for a simple proof to a simple theorem while nevertheless some theorems require enormous proofs. Combined, these two statements imply that “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) No. This is independent of the passage.
(C) No. The first sentence implies that all mathematicians today accept enormous computations as adequate proof of some theorems.
(D) No. This is not true for mathematicians. It may or may not be true for nonmathematicians.
(E) No. We are told nothing about nonmathematicians.
