Logic is the backbone
of critical thinking. Logic is extremely useful for uncovering error and
establishing truth. There are principles of logic and I would like
to introduce you to the first three laws of logic. These are very
important.
- The Law of Identity
- The Law of Non-Contradiction
- The Law of Excluded Middle
The law of identity
states that A is A. An Apple is an Apple. In other words, something is
what it is. If something exists, it has a nature, an essence. For
example, a book has a front and back cover with pages. A car has four
wheels, seats, doors, windows, etc. A tree has branches, leaves, a
trunk, and roots. This also means that anything that exists has
characteristics. We recognize what something is by observing its
characteristic. You know that a tree is a tree because you see its
branches, it's leads, its trunk, etc.
Furthermore, if something has an identity, it has a
single identity. It does not have more than one identity. In other
words, if something exists it has a set of attributes that are
consistent with its own existence. It does not have a set of
attributes that are inconsistent with itself. Therefore we can
easily conclude that a cat is not a parachute. An Apple is not a race
car. A tree is not a movie.
The law of non-contradiction tells us that A cannot be
both A and not A at the same time and in the same sense. In other words,
something (a statement) cannot be both true and false at the same time and in the same
way. We use the law of non-contradiction constantly in discussions and
debates because we are naturally able to recognize when someone is
contradicting himself. If I were to tell you that yesterday I went
shopping and then later I told you that yesterday I did not go shopping,
you would be correct in saying there was a contradiction. A contradiction
occurs when one statement excludes the possibility of another and yet
both are claimed to be true. Since we know that both cannot be true, we
see a contradiction. From this principle, we can conclude that truth is
not self-contradictory. This is a very important concept. Let me repeat
it. Truth is not self-contradictory.
The law of excluded middle says that a statement is
either true or false. For example, my hair is brown. It is either
true or false that my hair is brown. Another example: I am pregnant. The
statement is either true or false. Since I am a male, it is not possible for
me to be pregnant. Therefore, the statement is false. If I were a female,
it would be possible for me to be pregnant (given normal bodily
conditions). A woman is not "kind-of" pregnant. She either is or is
not pregnant - there is no middle position. The law of excluded middle is important because it helps us deal in
absolutes. This is particularly important in a society where relativism
is promoted and truth statements are denied.
Please review these three laws and become familiar with
them. They are extremely important when developing critical
thinking skills. You will see them used throughout these upcoming
lessons.