All dogs bark. Some pets are dogs. Therefore, some pets bark. Is this conclusion

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Question: All dogs bark. Some pets are dogs. Therefore, some pets bark. Is this conclusion valid?

Options:

Correct Answer: Yes

Solution:

The conclusion is valid because if all dogs bark and some pets are dogs, then those pets must bark.

All dogs bark. Some pets are dogs. Therefore, some pets bark. Is this conclusion valid?

All dogs bark. Some pets are dogs. Therefore, some pets bark. Is this conclusion valid?

Step 1: Understand the first statement: 'All dogs bark.' This means every single dog barks.
Step 2: Understand the second statement: 'Some pets are dogs.' This means there are at least a few pets that are dogs.
Step 3: Combine the two statements: Since all dogs bark and some pets are dogs, those specific pets that are dogs must also bark.
Step 4: Conclusion: Therefore, it is valid to say that some pets bark because those pets that are dogs will bark.

Logical Deduction – The ability to draw conclusions based on given premises.
Universal and Particular Statements – Understanding the difference between statements that apply to all members of a category versus some members.