All fruits are healthy. Some healthy foods are not fruits. Therefore, some fruit

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Question: All fruits are healthy. Some healthy foods are not fruits. Therefore, some fruits are not healthy. Is this conclusion valid?

Options:

Correct Answer: No

Solution:

The conclusion is not valid because it contradicts the premise that all fruits are healthy.

All fruits are healthy. Some healthy foods are not fruits. Therefore, some fruits are not healthy. Is this conclusion valid?

All fruits are healthy. Some healthy foods are not fruits. Therefore, some fruits are not healthy. Is this conclusion valid?

Step 1: Understand the first statement: 'All fruits are healthy.' This means every fruit is included in the group of healthy foods.
Step 2: Look at the second statement: 'Some healthy foods are not fruits.' This means there are healthy foods that are not fruits, but it does not affect the healthiness of fruits.
Step 3: Analyze the conclusion: 'Some fruits are not healthy.' This suggests that there are fruits that are not healthy.
Step 4: Compare the conclusion with the first statement. Since the first statement says all fruits are healthy, the conclusion that some fruits are not healthy contradicts this.
Step 5: Conclude that the argument is invalid because the conclusion goes against the established premise that all fruits are healthy.

Logical Deduction – The ability to draw valid conclusions from given premises.
Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
Contradiction – A situation where a conclusion directly opposes a premise.