Translate the following argument into formal logical notation using the scheme of abbreviation provided below. State...

Translate the following argument into formal logical notation using the scheme of abbreviation provided below. State whether or not the argument is valid and give a few words of justification for your answer. The domain is the set of all people, and John is an element of the domain.

A(x): x is smart

B(x): x is creative

C(x): x is a brilliant mathematician

D(x): x can pass the math test

E(x): x wrote a math textbook

Anyone who can pass the math test is smart.

No one is a brilliant mathematician unless they are creative.

John wrote the math textbook.

No one who can't pass the math test is creative.

No one but a brilliant mathematician could have written a math textbook.

Therefore, John is smart.

Expert Solution

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venereology answered 1 year ago

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