Questions: The following is a valid argument: No automobiles are powered by electricity. It is false that all automobiles are powered by electricity.
Transcript text: The following is a valid argument: No automobiles are powered by electricity. It is false that all automobiles are powered by electricity.
Solution
Answer
False
Explanation
The argument presented is not valid because it contains a logical inconsistency. Let's break down the statements:
Option 1: "No automobiles are powered by electricity."
This statement claims that there are zero automobiles powered by electricity, which is factually incorrect. There are indeed automobiles, such as electric cars (e.g., Tesla, Nissan Leaf), that are powered by electricity.
Option 2: "It is false that all automobiles are powered by electricity."
This statement is true because not all automobiles are powered by electricity; many are powered by internal combustion engines using gasoline or diesel.
The argument is invalid because the first statement is false, and the second statement, while true, does not logically follow from the first. The presence of electric automobiles contradicts the claim that no automobiles are powered by electricity.