Statements:Some towels are brushes. No brush is soap. All soaps are ra...
Explanation:
Some towels are brushes. No brush is soap.
Since one premise is particular and the other negative, the conclusion must be particular negative (O-type) and should not contain the middle term. So, it follows that 'Some towels are not soaps'. No brush is soap. All soaps are rats.
Since the middle term is distributed twice, the conclusion must be particular. Since one premise is negative, the conclusion must be negative. So, it follows that 'Some brushes are not rats'. Since I and II involve the same terms and form a complementary pair, so either I or II follows.
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Statements:Some towels are brushes. No brush is soap. All soaps are ra...
Statement and Conclusions:
Statements:
Some towels are brushes.
No brush is soap.
All soaps are rats.
Conclusions:
1. Some rats are brushes.
2. No rat is brush.
3. Some towels are soaps.
Explanation:
The given statements are:
1. Some towels are brushes: It means there is a possibility that some towels are brushes, but it is not necessary that all towels are brushes.
2. No brush is soap: It means that there is no brush that can be a soap.
3. All soaps are rats: It means that all soaps are rats, which means that every soap is a rat.
Now, let's analyze the given conclusions:
Conclusion I: Some rats are brushes.
This conclusion is not valid because there is no direct relation between rats and brushes. Although there is a possibility that some brushes may be rats, it is not necessary that every rat is a brush. Hence, conclusion I does not follow.
Conclusion II: No rat is brush.
This conclusion is valid because the second statement says that no brush is a soap, and the third statement says that all soaps are rats. Therefore, it is logical to conclude that no rat is a brush. Hence, conclusion II follows.
Conclusion III: Some towels are soaps.
This conclusion is not valid because there is no direct relation between towels and soaps. Although there is a possibility that some towels may be soaps, it is not necessary that every towel is a soap. Hence, conclusion III does not follow.
Therefore, only conclusion II follows.