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Which of the following is a categorical syllogism? 

• All humans are mortal.

• If it rains, then the ground is wet.

• Either it is sunny or it is cloudy.

• If I study, I will pass the exam.

What is the main connective in the statement: ( p \land (q \lor r) )? 

• ( \land )

• ( \lor )

• ( \neg )

• ( \supset )

Which of the following is an example of Modus Ponens? 

• If it is a dog, then it barks. It is a dog. Therefore, it barks.
  
  

• If it is a dog, then it barks. It does not bark. Therefore, it is not a dog.

• If it rains, then the ground is wet. The ground is wet. Therefore, it rained.

• If I study, I will pass. I did not study. Therefore, I did not pass.

What is the truth value of the statement ( p \lor \neg p )? 

• True

• False

• It depends on p

Which of the following is a disjunctive syllogism? 

• If A, then B. A. Therefore, B.

• A or B. Not A. Therefore, B.

• If A, then B. Not B. Therefore, not A.

• A and B. Therefore, A.

What is the result of the truth table for ( p \land q )?

• True if both p and q are true

• True if at least one of p or q is true

• True if both p and q are false

• True if p is true and q is false

Which of the following statements is a self-contradiction? 

• It is raining or it is not raining.

•  I am both alive and not alive.

• If it is snowing, then it is cold.

• All birds can fly.

What is the truth value of ( p \supset q ) when p is true and q is false? 

•  True

• False

• Undefined

• It depends on p

Which of the following is an example of affirming the consequent? 

• If it is a cat, then it purrs. It is a cat. Therefore, it purrs.
  
  

• If it is a cat, then it purrs. It purrs. Therefore, it is a cat.

• If it rains, then the grass is wet. It is not raining. Therefore, the grass is not wet.

• If I go to the party, I will have fun. I went to the party. Therefore, I had fun.

How many rows would a truth table have for the statement ( p \land q \land r )? 

•  2

•  4

• 8

• 16