Quiz 1

Justify all answers with neat and organized work. Clearly indicate your answers. 20 points possible.

1. (4 pts.) Write the truth table for this statement form.

(pÙ ~ q)Ú ~ (pÚ ~ q)

2. (4 pts.) Use a truth table to determine whether the argument form is valid or invalid. Clearly label the ``critical rows.''

                       pÚ ~ q

                       p® ~ q

Therefore ~ q

On this page, read the instructions and write your answers carefully. Missing a ``little'' word like ``and,'' ``or,'' ``not,'' or ``if'' could result in no credit for that problem. If a negation is called for (example: negate ``blah blah''), then don't simply write a trivial negation (like ``it is not the case that blah blah'').

3. (2 pts.) Write the negation for this statement.

My keyboard is defective and my printer is a laser printer.

4. (2 pts.) Write this statement in a logically equivalent if-then form.

Having an informative table of contents is a necessary condition for this textbook to be available promptly.

5. (2 pts.) Write the negation of this statement.

If the triangle is a famous example, then Boggs is an English major.

6. (2 pts.) Use modus ponens or modus tollens to fill in the blank in the following argument so as to produce a valid inference.

If nine minutes are missing, then magnetic interference is present.

Magnetic interference is not present.

Therefore (fill in the blank)

7. (2 pts.) Write the negation of this statement.

All llamas are domesticated.

8. (2 pts.) Write the negation of this statement.

No graphs are bipartite.