All dogs bark. Some animals that bark are not dogs. Therefore, some animals that

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Question: All dogs bark. Some animals that bark are not dogs. Therefore, some animals that bark are not dogs. Is this conclusion valid? (2023)

Options:

Correct Answer: Yes

Exam Year: 2023

Solution:

The conclusion is valid. The premises support the existence of animals that bark but are not dogs.

All dogs bark. Some animals that bark are not dogs. Therefore, some animals that bark are not dogs. Is this conclusion valid? (2023)

All dogs bark. Some animals that bark are not dogs. Therefore, some animals that bark are not dogs. Is this conclusion valid? (2023)

Step 1: Understand the first statement: 'All dogs bark.' This means every dog makes a barking sound.
Step 2: Understand the second statement: 'Some animals that bark are not dogs.' This means there are some animals that make a barking sound but are not dogs.
Step 3: Analyze the conclusion: 'Therefore, some animals that bark are not dogs.' This is a restatement of the second statement.
Step 4: Check if the premises support the conclusion: Since the second statement directly states that some barking animals are not dogs, it supports the conclusion.
Step 5: Conclude that the conclusion is valid because it logically follows from the premises.

Logical Deduction – The ability to derive conclusions from given premises using valid reasoning.
Universal vs. Particular Statements – Understanding the difference between universal statements (e.g., 'All dogs bark') and particular statements (e.g., 'Some animals that bark are not dogs').