Some cars are red. All red things are fast. Therefore, some cars are fast. Is th

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Question: Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)

Options:

Correct Answer: Yes

Exam Year: 2023

Solution:

The conclusion is valid. If some cars are red and all red things are fast, then it follows that some cars are fast.

Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)

Some cars are red. All red things are fast. Therefore, some cars are fast. Is this conclusion valid? (2023)

Step 1: Identify the first statement: 'Some cars are red.' This means there are at least a few cars that are red.
Step 2: Identify the second statement: 'All red things are fast.' This means everything that is red is also fast.
Step 3: Combine the information: Since some cars are red (from Step 1) and all red things are fast (from Step 2), it means those red cars must also be fast.
Step 4: Conclusion: Therefore, it is valid to say that some cars are fast because the red cars are included in the group of fast things.

Logical Deduction – The ability to draw conclusions based on given premises.
Quantifiers in Logic – Understanding the implications of 'some' and 'all' in logical statements.