The document defines and provides examples of the four forms of conditional propositions: 1. Converse: Reverses the order of the antecedent and consequent 2. Inverse: Negates the antecedent 3. Contrapositive: Negates both the antecedent and consequent 4. Examples are given for each form using conditional statements about cabbage color, exam scores, and reading/sleeping.

1. Forms of Conditional Proposition: (P  Q)
1. Converse: Q  P
1. Converse: Q  P
2. Inverse: ~P  ~Q
3. Contrapositive:
~Q  ~P

2. Forms of Conditional Proposition:
(P  Q)
If it is green, then it is cabbage.
1. Converse: Q  P
If it is cabbage then it
is green.

3. Forms of Conditional Proposition:
(P  Q)
If it is green, then it is cabbage.
If it is not green, then
it is not cabbage
2. Inverse: ~P  ~Q

4. Forms of Conditional Proposition:
(P  Q)
If it is green, then it is cabbage.
If it is not cabbage,
then it is not green.
3. Contrapositive: ~Q  ~P

5. Forms of Conditional Proposition:
(P  Q): Whenever nico studied alone,
he got the highest score in the class
1. Converse: Q  P
Whenever he got the
highest score in the class,
nico studied alone

6. Forms of Conditional Proposition:
Whenever nico did not
studied alone, he does not get
the highest score in the class
2. Inverse: ~P  ~Q
(P  Q): Whenever nico studied alone,
he got the highest score in the class

7. Forms of Conditional Proposition:
Whenever he does not get the
highest score in the class, nico
did not studied alone.
3. Contrapositive: ~Q  ~P
(P  Q): Whenever nico studied alone,
he got the highest score in the class

8. Forms of Conditional Proposition:
1. Converse: Q  P
If you are not sleeping, then you
are reading books
(P  Q): If you are reading books, then
you are not sleeping

9. Forms of Conditional Proposition:
If you are not reading
books, then you are
sleeping.
2. Inverse: ~P  ~Q
(P  Q): If you are reading books, then
you are not sleeping

10. Forms of Conditional Proposition:
If you are sleeping, then
you are not reading
books.
3. Contrapositive: ~Q  ~P
(P  Q): If you are reading books, then
you are not sleeping