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# No mathematical proposition can be proven true by

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Director
Joined: 11 Jun 2007
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No mathematical proposition can be proven true by [#permalink]

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12 Nov 2007, 13:50
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No mathematical proposition can be proven true by observation. It follows that it is impossible to know any mathematical proposition to be true.

The conclusion follows logically if which one of the following is assumed?
(A) Only propositions that can be proven true can be known to be true.
(B) Observation alone cannot be used to prove the truth of any proposition.
(C) If a proposition can be proven true by observation then it can be known to be true.
(D) Knowing a proposition to be true is impossible only if it cannot be proven true by observation.
(E) Knowing a proposition to be true requires proving it true by observation.

VP
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12 Nov 2007, 15:03
eyunni wrote:
No mathematical proposition can be proven true by observation. It follows that it is impossible to know any mathematical proposition to be true.

The conclusion follows logically if which one of the following is assumed?
(A) Only propositions that can be proven true can be known to be true.
(B) Observation alone cannot be used to prove the truth of any proposition.
(C) If a proposition can be proven true by observation then it can be known to be true.
(D) Knowing a proposition to be true is impossible only if it cannot be proven true by observation.
(E) Knowing a proposition to be true requires proving it true by observation.

B.
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12 Nov 2007, 15:07
I think the gap here is the relation between prove to be true and know to be true.
Well, B is wrong, how observation used to prove truth is irrevelant.
C is wrong. The statement says no proposition can be proven true by observation. So can be proven true is not mentioned here.
D is wrong. The statement says A-> B. The answer gives you B->A
E makes the same mistake as D.

I am going with answer A.
Director
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12 Nov 2007, 15:21
CEO
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12 Nov 2007, 16:39
eyunni wrote:
No mathematical proposition can be proven true by observation. It follows that it is impossible to know any mathematical proposition to be true.

The conclusion follows logically if which one of the following is assumed?
(A) Only propositions that can be proven true can be known to be true.
(B) Observation alone cannot be used to prove the truth of any proposition.
(C) If a proposition can be proven true by observation then it can be known to be true.
(D) Knowing a proposition to be true is impossible only if it cannot be proven true by observation.
(E) Knowing a proposition to be true requires proving it true by observation.

Btwn A and E on this one.

A- maybe an assumption. If propositions don't have to be proven true to be known to be true then this would weaken the argument so eliminating this as an option supports the conclusion.

E- maybe an assumption. If a proposition doesnt require to be proven true by observation then the argument is weakened. In order to bolster the author's conclusion there must be no other way to prove the mathematical proposition, otherwise this would weaken the conclusion.

I think E is the correct answer.
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12 Nov 2007, 17:45
i say E, with GMATBLACKBELT.
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12 Nov 2007, 17:51
clear E

Amar
Director
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12 Nov 2007, 18:48
yup, OA is E.
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