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# All savings accounts are interest-bearing accounts. The

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VP
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All savings accounts are interest-bearing accounts. The [#permalink]

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20 Apr 2005, 00:27
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All savings accounts are interest-bearing accounts. The interest from some interest-bearing accounts is tax-free, so there must be some savings accounts that have tax-free interest.

Which one of the following arguments is flawed in a way most similar to the way in which the passage is flawed?

(A) All artists are intellectuals. Some great photographers are artists. Therefore, some great photographers must be intellectuals.
(B) All great photographers are artists. All artists are intellectuals. Therefore, some great photographers must be intellectuals.
(C) All great photographers are artists. Some artists are intellectuals. Therefore, some great photographers are intellectuals.
(D) All great photographers are artists. Some great photographers are intellectuals. Therefore, some artists must be intellectuals.
(E) All great photographers are artists. No artists are intellectuals. Therefore, some great photographers must not be intellectuals.
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20 Apr 2005, 05:05
Yes it is C.
The logic used in both A & C is
All X -> Y
Some Y -> Z
=> Some X -> Z
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20 Apr 2005, 05:42
Can someone explain the difference between B and C?
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20 Apr 2005, 06:18
Folaa3 wrote:
Can someone explain the difference between B and C?
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Last edited by christoph on 20 Apr 2005, 09:24, edited 2 times in total.
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20 Apr 2005, 06:54
MA wrote:
All savings accounts are interest-bearing accounts. The interest from some interest-bearing accounts is tax-free, so there must be some savings accounts that have tax-free interest.

Which one of the following arguments is flawed in a way most similar to the way in which the passage is flawed?

(A) All artists are intellectuals. Some great photographers are artists. Therefore, some great photographers must be intellectuals.
(B) All great photographers are artists. All artists are intellectuals. Therefore, some great photographers must be intellectuals.
(C) All great photographers are artists. Some artists are intellectuals. Therefore, some great photographers are intellectuals.
(D) All great photographers are artists. Some great photographers are intellectuals. Therefore, some artists must be intellectuals.
(E) All great photographers are artists. No artists are intellectuals. Therefore, some great photographers must not be intellectuals.

C it is.

All savings accounts are interest-bearing accounts. The interest from some interest-bearing accounts is tax-free, so there must be some savings accounts that have tax-free interest.

The flaw is interest-bearing accounts are not necessarily savings accounts.
Therefore, although some interest-bearing accounts are tax-free, maybe all of the savings accounts are not tax-free interest.

(C) All great photographers are artists. Some artists are intellectuals. Therefore, some great photographers are intellectuals.

the same, artists are not necessarily photographers. Therefore, although some artists are intellectuals, maybe all of the photographers are not intellectuals.

Last edited by chunjuwu on 20 Apr 2005, 06:56, edited 1 time in total.
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20 Apr 2005, 06:54
"C".....As nicely illustrated by Christoph, visualizing set diagrams helps with these questions.
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20 Apr 2005, 09:04
christoph wrote:
Folaa3 wrote:
Can someone explain the difference between B and C?

OA is C.

But, christoph, i think your diagram has to be revised. because it says
"all great photographers are artists.
All (instead of some) artists are intellectuals.
Therefore, all (not some) great photographers are intellectuals".
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20 Apr 2005, 09:21
MA wrote:
christoph wrote:
Folaa3 wrote:
Can someone explain the difference between B and C?

OA is C.

But, christoph, i think your diagram has to be revised. because it says
"all great photographers are artists.
All (instead of some) artists are intellectuals.
Therefore, all (not some) great photographers are intellectuals".

the left circle shows the reasoning in the argument/in C) and the right circle shows the reasoning in B)...
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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Last edited by christoph on 20 Apr 2005, 09:33, edited 2 times in total.
VP
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20 Apr 2005, 09:29
christoph wrote:
MA wrote:
christoph wrote:
Folaa3 wrote:
Can someone explain the difference between B and C?

OA is C.

But, christoph, i think your diagram has to be revised. because it says
"all great photographers are artists.
All (instead of some) artists are intellectuals.
Therefore, all (not some) great photographers are intellectuals".

the left circle shows the reasoning in the argument/in C) and the right circle shows the reasoning in B)...

oh thats ok. it would be even better if you had put photograhers/artists/intellectuals in your example.
anyway thanx for diagram and clearification.
20 Apr 2005, 09:29
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