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Aristotle:
Laws of Thought
Philosophy as laws of thought
Aristotle was the first person to investigate the patterns and processing
of reason. He discovered (some would say invented) logic. For
that alone, he counts high in the pantheon of the most influential people
in history. Logic provides the basis for proof and demonstration using
natural language. Prior to Aristotle, mathematicians had shown arithmetic
and geometrical means to proof. It was the power of such abstract proofs
that led Plato to place an inscription over the front gate of the Academy
reading; "Let no one enter who is not a geometer."
From this background, Aristotle extended the formal study of reasoned
proof to a method that applies formal analysis to real human language.
Philosophy, science, and technology have followed the path pioneered by
Aristotle ever since.
Aristotle wrote several extensive works on logic, which taken together
are known as The Organon or the instrument, by which which he
meant that logic is an instrument for advancing knowledge.
Aristotle was not merely pointing out ways that people should think;
he was describing the fundamental principles by which thought can occur
at all. At this foundation he marked three laws of thought, which remain
basic in logic to the present. These laws are:
- 1. The Law of Identity - A
is A
- Everything is the same as itself; or a statement cannot not remain
the same and change its truth value.
2. The Law of Non-Contradiction - NOT
(A and not A)
- Nothing can both exist and not exist at the same time and
in the same respect; or no statement is both true and false.
3. The Law of Excluded Middle - Either
(A or not A)
- Something either exists or does not exist; or every statement
is either true or false.
These are given not just as nice rules of thumb to follow or ways that
one should think. Aristotle identified these as necessary conditions for
thought. People sometimes try to produce counter examples to these Laws
by pointing out how statements can become true or false depending on the
conditions; e.g. "It is raining" might be true now, but was
false yesterday" or "it is half way between raining and not-raining."
But these attempts always involve changing the reference of the statement.
Once we get the reference of the statement clear and explicit, it does
not seem possible for a statement to make sense and vioate these laws.
At this point, the 2 thousand year debate over the nature of reference
begins, and the shape of philosophy is drawn.
Former President Clinton tried to weasle the Laws of Thought when he
denied that he had
lied to Congress about whether "there is a relationship with my intern"
by saying later "it all depends on what is is." Like
in the raining example above, he thought that he could make the truth
of his stament change because the relationship had ended). Almost everyone
could immediately see that he was twisting words beyond sense and digging
himself into an even deeper deception. We can see this because logic involves
conditions that are common to us all. Even Presidents cannot veto the
Laws of Thought.
Next - Learn about Aristotle's Syllogisms 
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