> All apples are red. All apples are fruit. My car is red, therefore my car is a fruit. Find the logical error
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The logical error in the statement "All apples are red. All apples are fruit. My car is red, therefore my car is a fruit." is a classic example of the fallacy of the undistributed middle. This fallacy occurs when a syllogism (a form of reasoning in which a conclusion is drawn from two given or assumed propositions) is improperly formed because the middle term is not distributed at least once in the premises.
Here's a breakdown of the fallacy in your statement:
Major Premise: All apples are fruit. Minor Premise: All apples are red. Conclusion: My car is red, therefore my car is a fruit. In this syllogism, "apples" is the middle term. However, it is not distributed correctly. The major premise talks about all apples being fruits, and the minor premise talks about all apples being red. However, there's no premise that states all things that are red are apples. Without this, you cannot logically conclude that other red things, like a car, are fruits.
In simpler terms, just because all apples are red and fruits, it doesn't mean that all red things are fruits. The color of the apples (red) is not an exclusive property that defines the category of fruits. Your car shares the property of being red with apples, but it doesn't share the essential property of being a fruit.
The middle term in the fallacy of the excluded middle here is "red", not "apple".