Classify the given argument as: valid & sound, valid & unsound or invalid. All students are brilliant, she is brilliant. So she is a student.

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In the argument given, the premises are:

  1. All students are brilliant
  2. She is brilliant.

The conclusion is: She is a student.

Now, the fact that all students are brilliant does not imply that all those who are brilliant have to be students. Therefore the fact that she is brilliant does...

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In the argument given, the premises are:

  1. All students are brilliant
  2. She is brilliant.

The conclusion is: She is a student.

Now, the fact that all students are brilliant does not imply that all those who are brilliant have to be students. Therefore the fact that she is brilliant does not necessarily imply that she is a student. She could be brilliant and also not be a student.

So, the given argument is not valid as the conclusion does not follow from the premises. And for an argument to be sound it has to be valid. So, it is not sound either.

Therefore the given argument is invalid.

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