1. All women are mothers.
2. All mothers are sisters.
1. All women are sisters.
2. Some women are not
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 pleasePosted from my mobile device
I don't know which book you are following to get your concepts straight but it is certainly not working out. I am not sure where the fault lies.
'All women are mothers' implies 'some women are mothers' - Correct
'Some women are mothers' implies 'some women are not mothers' - Incorrect
'Some' is a case of partial information. You only know about some women. You don't know about the others. In a class, say, there are 10 students. I ask only 3 of them - 'Are you from Michigan?' All three say 'Yes'. I can now say that 'some of you are from Michigan'. The point is - I don't know about the rest.. It is possible that they are from Michigan too. It is possible that some of them are not from Michigan. I don't know. Hence, 'some people are' does not imply 'some are not'.
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