Statements:
Some canals are rivers.
Some rivers are oceans.
Some oceans are ponds.
Conclusions:
(I) All ponds are rivers.
(II) All oceans are canals.
Analyzing the Statements
We are given three statements:
- Some canals are rivers.
- Some rivers are oceans.
- Some oceans are ponds.
These statements indicate partial overlaps between the categories (canals, rivers, oceans, ponds). They do not provide information about the totality of any category or definitive relationships between non-adjacent categories.
Evaluating Conclusion (I): All ponds are rivers
The statements mention that 'Some oceans are ponds'. This implies that there exists at least one pond that is also an ocean. However, it does not provide any information about ponds that might not be oceans, nor does it state that all existing ponds must be rivers. Therefore, the conclusion 'All ponds are rivers' cannot be logically deduced from the given statements.
Evaluating Conclusion (II): All oceans are canals
The statements establish connections like 'Some canals are rivers' and 'Some rivers are oceans'. While there's an overlap between rivers and oceans, and between canals and rivers, this doesn't mean that the entire category of 'oceans' is contained within the category of 'canals'. The link is indirect (Canals -> Rivers -> Oceans), and the "some" quantifier prevents making a universal claim ('All oceans'). Thus, the conclusion 'All oceans are canals' does not logically follow.
Verdict
Since neither Conclusion (I) nor Conclusion II can be logically inferred from the given statements, the correct option is that neither conclusion follows.
Important Questions from Syllogism (Notes)
Which conclusion would follow the given statements.
Statement:
Some Apples are Banana.
Some bananas are Grapes.
No Grape is Book.
Conclusion:
(I) Some Apples are Book is a possibility.
(II) All Bananas are Book.
In light of the above statements, choose the most appropriate answer from the options given below.- Disregard commonly known facts. Which conclusion would follow on the basis of given statements only.
Statement: Some bottles are car. some cars are cycle.
Conclusion:
(I) Some bottles are cycle is a possibility
(II) All bottles are cycle
In light of the above statements, choose the most appropriate answer from the options given below. - Statements :
All books are cakes.
All cakes are apples.
Conclusions:
I. Some cakes are books
II. No cake is books
III. Some apple are books
IV. All apples are books
Choose the correct option: - All household pets are domestic animals. NO unicorns are domestic animals. Therefore some Unicorns are not household pets. Which type of formal fallacy committed in the above argument ?
- Statements:
Some bags are purses. All purses are containers all containers are suitcases.
Conclusions :
I. Some suitcases are bags
II. All purses are bags
III. All Purses are suitcases
(IV) Some containers are purses
