2. Categorical versus Hypothetical Proposition
 Categorical proposition = declare something
 Hypothetical proposition = express condition

3. Hypothetical Proposition
 does not declare an unconditional affirmation or
denial, but expresses a relation of dependence such as
an opposition or a likeness between 2 clauses.

4. 3 kinds of Hypothetical Proposition
1. Conditional Proposition
2. Disjunctive Proposition
3. Conjuctive Proposition

5. Conditional Proposition
 Expresses a condition or relation of dependence
between two propositions.
 Expressed relation points out that one proposition
necessarily follows from the other because of a definite
condition.
 Note that a conditional proposition is one in which
two parts are joined by
if, unless, when, where, suppose, in case.
 Sometimes called an if-then proposition

6. Conditional Proposition
Examples:
If a man is farsighted, he needs eyeglasses.
If dry weather continues, the harvest will be poor.

7. Conditional Proposition
Two component
1. Antecedent/Implicans
 Generally introduced by word IF
 Contains the condition
2. Consequent/Implicate
 Expresses the statement that follows the acceptance of
condition.

8. Condtional Proposition
Examples:
If a man is farsighted, he needs eyeglasses.
If a man is farsighted = Antecedent/Implicans
he needs eyeglasses = Consequent/Implicate

9. Disjunctive Proposition
 One whose subject or predicate consists of parts which
exclude each other.
 Sometimes called an either or statement due to its
construction.
 Parts of disjunction are called disjuncts (alternants)

10. Disjunctive Proposition
Examples:
A body is either in motion or at rest.
Either Pedro or Juan is dishonest.

11. Disjunctive Proposition
o Proper (perfect,complete,strict)
• It is either raining or not raining.
o Improper (imperfect,incomplete)
 Jose is either sitting or writting.
o Broad
 Either my sister or I will go.

12. Disjunctive Proposition
2 things are required for a proper disjunctive
1. The enumeration of the possibilities must be
complete.
2. There must be an exclusive opposition between or
among the enumerated possibilities.

13. Conjuctive Proposition
 One which denies that two contrary predicates
together can be true of the same subject at the same
time.
 The truth of a conjuctive hypothetical proposition
depends solely upon a true exclusive opposition
existing between their component parts.
 Parts of conjuctive are called conjucts

14. Conjuctive Proposition
Examples
You cannot stand and sit at the same time.
You cannot be in Quiapo and in Makati at the same
time.

15. Conjuctive Proposition
 Reducible to two connective hypothetical propositions
or a combination of hypothetical and categorical
propositions.

16. Conjuctive Proposition
Examples
If you are in Quiapo, you are not in Makati.
If you are in Makati, you are not in Quiapo.