1. MODUS PONENS
If P then Q P
therefore Q

3. If the princess kisses the frog then he
turns into a prince.

4. If the princess kisses the frog then he
turns into a prince.
The princess kisses the frog.

5. ? If the princess kisses the frog then he turns into a prince.
Therefore, he turns into a prince

9. If the princess kisses the frog then he
turns into a prince.
The princess kisses the frog.
Therefore, he turns into a prince

10. If the princess kisses the frog then he
turns into a prince.
The princess kisses the frog.
Therefore, he turns into a prince

11. K P K If the princess kisses the frog then he turns into a prince.
Therefore, he turns into a prince
K P K
therefore P

12. Herman lives in Cleveland
Herman lives in Ohio If
then
Herman lives in Cleveland
therefore
Herman lives in Ohio

13. John wins the lottery
John is happy If
then
John wins the lottery
therefore
John is happy

14. It is not raining
we will swim or play ball If
then
It is not raining
therefore
We will swim or play ball

15. It is summer and it is hot
The flowers grow and
the birds sing If
then
It is summer and it is hot
therefore
The flowers grow and
the birds sing