The document defines key terms related to syllogisms including: - Syllogism: a deductive argument with two premises and a conclusion drawn from them - Categorical syllogism: a deductive argument with three categorical propositions containing exactly three terms - Major term: the term that occurs as the predicate of the conclusion - Middle term: the third term of the syllogism appearing in both premises - Minor term: the term that occurs as the subject of the conclusion It then provides examples of valid syllogisms to illustrate how the terms are used.

1. GILMORE S. REYES
JHAMIL CARLO C. BRIONES

2. • a logical inference drawn from more than one
proposition or premise — compare SYLLOGISM
• Where there is more than one premise involved,
as in syllogism, which has two premises, the
inferences is said to be mediate because the
conclusion is supposed to be drawn from the first
premise through the mediation of the second
premise.

3. • A SYLLOGISM is a deductive argument in which a
conclusion is inferred from two premises. It is also
defined by Aristotle a “kind of discourse in which certain
things being stated, something other than which is stated
follows of necessity from their being so”
• A CATEGORICAL SYLLOGISM is a deductive argument
consisting of three categorical propositions that contain
exactly three terms, each of which occurs in exactly two
of the constituents propositions. A categorical syllogism is
all standard-dorm proposition and are arranged in a
specified standard order.

4. • Major term- the term that occurs as the
predicate of the conclusion
• Middle Term- the third term of the syllogism,
which does not occur in the conclusion,
appearing in both premises.
• Minor term- the term that occurs of the subject
term of the conclusion
• Major Premise- the premise containing the major
term
• Minor Premise- the premise containing the minor
term

5. All soldiers are men.
All heroes are soldiers.
Therefore, All heroes are men.
Major Term- Men
Middle term- Soldier
Minor Term- Heroes
Major Premise- First Premise
Minor Premise- Second Premise

6. Some form of killing are evil.
Abortion is a form of killing
>Abortion is evil
Major Term- Evil
Middle term- Form of Killing
Minor Term- Abortion
Major Premise- First Premise
Minor Premise- Second Premise

7. All Men are mortal.
All Greek are men.
>All Greek are mortal.
Major Term- Mortal
Middle term- Men
Minor Term- Greeks
Major Premise- First Premise
Minor Premise- Second Premise

8. Every Dog is an animal.
Every hound is a Dog.
>Every hound is an animal.
Major Term- Animal
Middle term- Dog
Minor Term- Hound
Major Premise- First Premise
Minor Premise- Second Premise

9. SPECIAL THANKS!
To our instructor:
DR. SAN ANDRES