Challenge Exercises for Mathematical Logic
Directions: Read each question below. Create a truth table to help you answer each question. The answer choices provided correspond to the last column of the truth table for a given problem. Select your answer by clicking on its button. Feedback to your answer is provided in the RESULTS BOX. If you make a mistake, choose a different button.
1. | What are the truth values for this statement? ~p![]() |
2. | What are the truth values for this statement? p![]() |
3. | What are the truth values for this statement? ~a![]() |
4. | What are the truth values for this statement? a![]() |
5. | Choose the word or phrase that best completes this sentence: The statements in problems 3 and 4 are ____________. |
6. | What are the truth values for this statement? ~q![]() |
7. | Which statement below is logically equivalent to the statement in problem 6? |
8. | What are the truth values for this statement? ~r![]() ![]() |
9. | What are the truth values for this statement? (~q![]() ![]() ![]() |
10. | Choose the word or phrase that best completes this sentence: The statements given in problems 8 and 9 are _______. |