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INTRODUCTORY: Part
1
Logic
and Critical Thinking
by Jonathan Dolhenty, Ph.D.
Truth is the object of thinking. Some truths are
obvious; others are difficult to acquire. Some
judgments we make are simple; some judgments are
complicated. Some arguments, whether made by us or
others, may be straightforward and easily
understood; other arguments may be complex and
consist of a series of smaller arguments, each
needing to be critically examined and
evaluated.
Almost every object of knowledge has a branch of
knowledge which studies it. Planets, stars, and
galaxies are studied by astronomy. Chemistry
studies the structure, composition, and properties
of material substances and the transformations they
undergo. The origin, evolution, and development of
human society is the object studied by sociology.
Economics, biology, geography, and grammar all have
objects of knowledge which they investigate,
describe, and try to explain.
Critical thinking involves a knowledge of the
science of logic, including the skills of logical
analysis, correct reasoning, and understanding
statistical methods. Critical thinking, however,
involves more than just an understanding of logical
procedures. A good critical thinker must also
understand the sources of knowledge, the nature of
knowledge, and the nature of truth. But first, what
is the science of logic?
The object of knowledge involved in the science
of logic is "thinking," but it is "thinking"
approached in a special way. Generally speaking,
logic is that branch of knowledge which reflects
upon the nature of "thinking" itself. But this may
confuse logic with other branches of knowledge
which also have the nature of "thinking" as a part
of their specific object of investigation. We need
a more detailed and accurate definition to
eliminate any confusion.
Logic doesn't just deal with "thinking" in
general. Logic deals with "correct thinking."
Training in logic should enable us to develop the
skills necessary to think correctly, that is,
logically. A very simple definition would be:
Logic is the subject which teaches you the rules
for correct and proper reasoning. For those of
you who want a more complete and "sophisticated"
definition of logic, you can define it this way:
Logic is the science of those principles, laws,
and methods, which the mind of man in its thinking
must follow for the accurate and secure attainment
of truth. Take your choice.
Natural Logic
and Scientific Logic
We need to be aware of a distinction between
what some call "natural logic" or common sense and
"scientific" logic. We all have an internal sense
of what is logical and what is not, which we
generally refer to as "common sense." This
"natural" logic we have learned from the moment of
birth, through our personal experiences in the
world and through our acquisition of language.
Scientific logic, on the other hand, is simply our
natural logic trained and developed to expertness
by means of well-established knowledge of the
principles, laws, and methods which underlie the
various operations of the mind in the pursuit of
and attainment of truth.
We have referred to the "science" of logic but
logic is really more than just a science. The
science part is the knowledge of the principles,
laws, and methods of logic itself. This is
important, to be sure. But logic must be put into
action or else the knowledge provided within the
science of logic is of little use. We can,
therefore, also speak of the "art" of logic, that
is, the practical application of the science of
logic to our everyday affairs. Logic is not
intended merely to inform or instruct. It is also
directive and aims at assisting us in the proper
use of our power of reasoning. In this sense, we
can speak of logic as both a science and an art, a
practical art meant to be applied in our ordinary
affairs.
Logic and
Psychology
We want to be sure that we don't confuse the
science of logic with the science of psychology.
Psychology also studies "thinking," but it is a
separate, autonomous discipline of its own. And
logic is not a branch of psychology, but a separate
discipline of its own. How are logic and psychology
different?
The most obvious difference is that psychology
is a "descriptive" science while logic is a
"prescriptive" science. The difference between a
descriptive science and a prescriptive science can
best be illustrated by an example.
Let's suppose we are scientists and have been
asked to study the differences between the American
form of government and the British form of
government. We find that in the United States there
are three separate branches in the central
government: the executive branch which includes the
president, the legislative branch which includes
the Senate and the House of Representatives, and
the judicial branch which includes the Supreme
Court. We discover that the president is elected by
vote of the people, as are the senators and
representatives, and that the judges of the Supreme
Court are appointed by the president with approval
of the Senate. Furthermore, we find that the
president is both the ceremonial leader and the
chief executive of the nation.
Now we turn our attention to England. We see
that the Queen of England is not elected and
functions primarily as the ceremonial leader of the
country. Instead of an elected Congress, England
has a parliament system, consisting of a House of
Commons, which is elected, and a House of Lords,
which is not elected by the people. Furthermore, we
find out that the prime minister, who is the real
head of the government, is not elected by the
people, but is elected by the leading political
party in the House of Commons.
What we have done in the above example is simply
"describe" and report on each form of government,
noting any similarities and differences between
them. We have been functioning as "descriptive"
scientists, in this case, as political scientists
since governments are an object of knowledge of a
scientific discipline called political science.
Let's suppose now that we go on to argue that
England should adopt the form of government we have
in the United States. In this case, we are no
longer describing or reporting on a state of
affairs. We are now recommending or "prescribing"
how England should conduct its affairs when it
comes to government. We have ceased to be
scientists at this point and have become political
philosophers. We are no longer being "descriptive,"
we have become "prescriptive."
Psychology is also a descriptive science. It is
not primarily interested in how we "ought" to think
but in describing how we actually think. It is
interested in questions such as: Do men think
differently from women? Do members of a primitive
society think differently from members of an
advanced civilization? What is learning and how can
it be measured? What goes into the processes of
thinking and learning? These questions call for
descriptive answers.
Logic, on the other hand, is a prescriptive
science, usually considered a branch of philosophy.
It is interested in formulating the general rules
for correct reasoning, prescribing how we must
proceed if we are to argue clearly, consistently
and, yes, logically.
Critical thinkers must be intimately acquainted
with the concepts and methods of logic in order to
be successful in activities involving critical
thinking skills.
The
Terminology of Logic
Most of the terms that are commonly used in
logic will be fully described and explained in
other sections of these essays on logic and as they
become important to the discussion.
It may help us, however, to have some
preliminary definitions to guide us on our way and
it is advisable to point out at this time some
limitations on the use we will make of some common
words in English which can cause confusion. We need
to realize that some words have several meanings in
ordinary discourse and we need to be specific about
how certain ordinary words will be used.
Ideas and
Terms
A complete discussion of the nature of the idea
is undertaken here. You
will notice then that we use the word "idea"
somewhat differently from its ordinary, and many
times misleading, meaning.
The word "idea" will be used to mean the
intellectual representation of a thing. We consider
the word "thing" to be the same as "being," the
most general word that can literally apply to any
actual or possible existent. In our ordinary
conversations, we tend to use the word "idea" in a
very broad sense to denote several things which we
link together. Here we will be using the word very
specifically. An "idea" will represent a single
"thing," "single being," or "single existent,"
actual or potential.
The word "term" will be used as a "name" for the
"idea." As we will see later, neither ideas nor
terms are "true" or "false." Ideas simply "are,"
and terms are used to express them. Terms are
simply sensible conventional signs which we use to
express an idea.
Judgments and
Propositions
The term "judgment" will be used to mean an act
of the mind pronouncing the agreement or
disagreement of ideas among themselves. The terms
"true" and "false" apply only to a judgment. It is
possible for a judgment to be merely an opinion if
its state of certainty is in question. We should
really refer to it then as an opinion, and not as a
judgment.
A "proposition" is a sentence which expresses a
judgment, either in speaking or writing. A
proposition may be true or false, a determination
which is actually made by the judgment which it
represents. Propositions differ from other types of
sentences such as questions, commands, and
exclamations. Only propositions can be asserted or
denied. An "argument" consists of propositions.
Premises and
Conclusions
An argument is not a
mere collection of propositions. An argument has a
structure. We use the terms "premise" and
"conclusion" when we talk about the structure of an
argument.
The conclusion of an argument is that
proposition which is affirmed on the basis of the
propositions in the argument. This is what we are
trying to show is true. This is what we want
someone to accept at the end of any argument we may
present.
The premises of an argument are those
propositions which are used to provide the support
or reasons for accepting the conclusion. These are
what we show to justify our conclusion. These are
an essential part of any argument.
It should be noted that premise and conclusion
are relative terms. One and the same proposition
can be a premise in one argument and a conclusion
in another argument. This is one reason why many
arguments can become complex and sophisticated. One
argument, using one or more of the same
propositions, can lead to another related argument
using the same propositions. But, never fear. We'll
learn how to deal with these multiple
arguments.
Reasoning and
Inference
In our ordinary everyday conversations, we tend
to get sloppy with words, using the same words but
with different meanings scattered throughout our
speaking. One of the things that critical thinkers
must do is to take words seriously and define them
accurately. The words "reasoning" and "inference"
are so important to critical thinking we need to
make sure we understand how they will used during
this study.
Reasoning is, first of all, a process. When we
are engaged in reasoning in its simplest form, we
are comparing two doubtful ideas with a third idea
which we already know. If both doubtful ideas agree
with this third idea, they also agree among
themselves. If one of our doubtful ideas agrees
with the third idea, and the other doubtful idea
does not, then they also disagree among themselves.
In the first case of reasoning, we have an
affirmative conclusion, that is, we have affirmed
the conclusion. In the second case of reasoning, we
have a negative conclusion, that is, we have denied
the conclusion.
The process of reasoning means that from certain
things we already know to be true, we can acquire
another truth not already known but that follows
necessarily from those truths already known. It may
seem strange to see it described this way,
especially since reasoning is something we are
constantly doing all day long. It's just that we
are not consciously aware of what we are actually
doing.
Reasoning and inference are sometimes thought to
be the same process. This is true if we are talking
about what is called mediate inference. Reasoning
and mediate inference, which include deduction and
induction (to be described later), are the same
thought process. But there is another kind of
inference called immediate inference, which some
think is a primitive type of reasoning, wherein we
draw a conclusion about something immediately
without going through the process of thinking it
out. Self-evident truths are an example of
immediate inference.
Evidence and
Proof
Many people are confused by the terms evidence
and proof. During a discussion of the inductive
method and empirical
science, much more will be said about evidence
and proof. For now, however, let's just consider a
few general ideas regarding the use of these
terms.
The term "evidence" we'll define as any grounds
used to assert a proposition to be true. We can
also say that evidence is any supposed fact which
is considered as supporting the truth of a given
proposition. There are obviously many kinds of
evidence. There is what we commonly call
"firsthand" evidence that we all use as grounds for
stating propositions to be true. We say, "There are
blue and white colored fish in the aquarium." How
do we know? We look and see. If someone questions
our statement, we invite that person to come look
and see. We see, hear, smell, taste, and feel
things "firsthand." Usually, this type of evidence
doesn't cause much of a problem in our everyday
life.
But suppose we were testifying in court about an
incident we witnessed. Our evidence would be
"firsthand." We saw the accident. We heard the
fighting words. We smelled the smoke of the fire.
Presenting "testimonial" evidence based on a
"firsthand" account may involve us in some
complications, however, especially from an attorney
on one side of the case or the other. Later, we'll
investigate testimonial evidence more in
detail.
There is also the matter of "circumstantial"
evidence we hear so much about these days in
criminal trials. Circumstantial evidence involves
those relevant circumstances or facts which enable
us to draw legitimate inferences to some principal
fact, which fact then explains the existence and
presence of these relevant circumstances or facts.
This is really "indirect" evidence, one or more
steps removed from what we generally consider to be
"firsthand" evidence. In criminal trials, the
presence of and analysis of blood, DNA,
fingerprints, and so on are considered
circumstantial evidence if no "firsthand" or direct
witness to the criminal event was present at the
time of the event.
Empirical scientists are very concerned about
evidence. They collect evidence to document and
support their scientific principles, laws,
theories, and so forth. How do we know dinosaurs
roamed the earth even though they no longer exist?
Well, paleontologists and geologists have found
evidence of their skeletons, eggs, and so on. How
do we know that water boils at sea level when it
reaches 212 degrees F.? Well, because physicists
and chemists have collected evidence that it does
and expressed it in a general scientific law.
Every time any of us states a proposition which
we assert to be true, we try to give evidence
supporting the truth of the proposition. This
evidence constitutes the grounds for saying the
proposition is true. We gather facts which we
consider to be supportive of the truth of the
proposition we assert. The next chapter will
discuss some ways by which we attempt to discover
and provide various types of evidence.
The word "proof" does not designate the same
thing as the word "evidence," and proof is what we
are more concerned with in the science of logic.
Logic may be said to be concerned with the question
of the adequacy or probative value of different
kinds of evidence. Traditionally, however, logic
has devoted itself mainly to the study of what
constitutes proof, that is, complete or conclusive
evidence. Proof is essentially a process, an act of
testing to determine the validity of an argument
which will hopefully support the truth of a
proposition presented as a conclusion.
"Proof" is not a simple matter, particularly in
situations where evidence has to be weighed in
favor of one conclusion or the other. In deductive
logic, the matter of proof is fairly
straightforward and rules have been made to help us
determine the validity of a deductive argument. In
inductive logic and processes using scientific
method, the situation is not as clear and
decisive. Here we enter the world of probability,
partial evidence, probable inference, and the
problem of the weight of evidence. It is here,
also, where arguments become controversial and, to
some people at least, most exciting.
NEXT - Part 2:
Language and Communication
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