Question: No fish are mammals. Some mammals are not whales. Therefore, some fish are not whales. (2023)
Options:
True
False
Cannot be determined
None of the above
Correct Answer: False
Exam Year: 2023
Solution:
The conclusion does not logically follow from the premises.
No fish are mammals. Some mammals are not whales. Therefore, some fish are not w
Practice Questions
Q1
No fish are mammals. Some mammals are not whales. Therefore, some fish are not whales. (2023)
True
False
Cannot be determined
None of the above
Questions & Step-by-Step Solutions
No fish are mammals. Some mammals are not whales. Therefore, some fish are not whales. (2023)
Step 1: Understand the premises. The first premise states that no fish are mammals, meaning fish and mammals are completely separate categories.
Step 2: Analyze the second premise. It says that some mammals are not whales, which means there are mammals that do not belong to the category of whales.
Step 3: Consider the conclusion. The conclusion claims that some fish are not whales. However, since fish and mammals are separate categories, the information about mammals does not provide any information about fish.
Step 4: Determine if the conclusion logically follows. Since the premises do not connect fish to whales in any way, the conclusion that some fish are not whales does not logically follow from the premises.
Logical Deduction – The ability to derive conclusions from given premises using valid reasoning.
Categorical Logic – Understanding relationships between different categories, such as fish, mammals, and whales.
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