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13 Jan 2013, 12:57
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Statements :
1. All women are mothers.
2. All mothers are sisters.
Conclusions :
1. All women are sisters.
2. Some women are not
sisters.
Since both the premises
are affirmative, the
conclusion must be
affirmative. So, conclusion
2 cannot follow.
hi guys this is a syllogism question i copied from indiabix..i just wanted to know why conclusion 2 does not follow..if we take conclusion 1 as a convertend then conclusion 1 would gives us the following converse;some women are mothers..now,my question lies on the fact that if some women are mothers then the arguement that some women are not mothers would also be true according to the contrary rule(which states that if one of the two contraries is true then the other is also true)on the tradition square of opposition..i need your replies please
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1. All women are mothers.
2. All mothers are sisters.
Conclusions :
1. All women are sisters.
2. Some women are not
sisters.
Since both the premises
are affirmative, the
conclusion must be
affirmative. So, conclusion
2 cannot follow.
hi guys this is a syllogism question i copied from indiabix..i just wanted to know why conclusion 2 does not follow..if we take conclusion 1 as a convertend then conclusion 1 would gives us the following converse;some women are mothers..now,my question lies on the fact that if some women are mothers then the arguement that some women are not mothers would also be true according to the contrary rule(which states that if one of the two contraries is true then the other is also true)on the tradition square of opposition..i need your replies please
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jumsumtak
Joined: 23 Mar 2011
Last visit: 14 Jun 2023
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Concentration: Healthcare, Strategy
Schools: Duke '16 (M)
13 Jan 2013, 16:44
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chiccufrazer1
1.) I wasn't able to grasp after the red part. So will explain the question in red.
2.) this is not a gmat question. It will be better for you if you study from a better source.
3.) answer to the red part:
if there are 5 women, who are all mothers. And these 5 mothers are all sisters, then "Some women are not sisters" does not hold true.
13 Jan 2013, 22:27
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A better framing of conclusion two would be "Some women may not be sisters"
