Syllogism
In logic the term proposition (from the word "proposal") refers to either
(a) the "content" or "meaning “of a meaningful declarative sentence or
(b) the pattern of symbols, marks, or sounds that make up a meaningful
declarative sentence. The meaning of a proposition includes having the
quality or property of being either true or false, and as such propositions
are claimed to be truth bearers.
The Proposition consists of three parts:
Subject: The Subject is that about which something is said.
Predicate: The Predicate is the part of the Proposition denoting that
which is affirmed or denied about the subject.
Copula: The Copula is that part of the Proposition which denotes the
relation between the Subject and the Predicate.
Consider the Proposition 'Man is cultured'.
Here an information is given about the man. So 'Man' is the Subject.
"Cultured" is the quality affirmed for this Subject. So it is the Predicate.
"is" denotes the relation between the Subject and the Predicate. So, it is
the Copula
Proposition can be classified into 4 categories.
universal affirmative
universal negative
particular affirmative
particular negative
Universal statements: These are statements that tell you
something about an entire category.
Here’s an example of a universal statement:
All dogs are loyal.
This statement relates two categories and tells you that everything in
the category of dogs is also in the category of loyal things. You can
consider this a universal statement because it tells you that loyalty is a
universal quality of dogs.
Particular statements: These are statements that tell you about
the existence of at least one example within a category. Here’s an
example of a particular statement:
Some bears are dangerous.
This statement tells you that at least one item in the category of bears is
also in the category of dangerous things. This statement is considered a
Particular statement because it tells you that at least one particular bear
is dangerous.
Syllogism
In Logic, we are required to deal with a particular type, termed as
Syllogism. It was introduced by Aristotle. In Syllogism, a conclusion has
to be drawn from two propositions, referred to as the Premises.
Premises:
All men are mortal.
Socrates is a man.
Conclusion:
Socrates is mortal
Example:
1. All girls are flowers.
2. All flowers are beautiful.
3. All girls are beautiful
In our example the proposition 1 and 2 are premises and third on is the
conclusion derived from the two premises.
Syllogism is concern with three terms
1. Major Term: It is the predicate of the conclusion in our example
beautiful is the major term.
2. Minor Term: It is the subject of the conclusion I n our example the minor
term is girls
3. Middle Term: It is the term common to both the premises flower is the
middle term in our example.