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A Mini-Course
in Logic
This mini-course deals with the question of
correct procedure in thinking things out, that is
to say, in
reasoning. Here
we investigate the process of reasoning, not its
content.
- We are not concerned to discover the
intimate nature of the process of
reasoning;
- We are interested here solely in the
function, the action of reasoning;
- We study to know what makes this action
correct, legitimate, justified.
In this light:
- We study and identify the various operations
of the mind or intellect;
- We note and identify the various operations
of the mind or intellect;
- We note their outer expression;
- And thus we seek to discover and formulate
the laws of
thought.
The science thus developed is called
Logic. More
precisely it is Formal
Logic or
Dialectics.
This mini-course is divided into the following
four Sections:
- Section 1 - The Operations of the Mind
- Section 2 - Ideas and Terms
- Section 3 - Judgments and Propositions
- Section 4 - Reasoning and Argument
Section 1:
The Operations of the Mind
Topics:
- a. The Mind;
- b. Fundamental Operations of Mind;
- c. The Grasp of Knowledge.
a) The
Mind
The mind is
man's most perfect knowing power. It is the
intellect or understanding. Some modern writers and
teachers use the term the mind to signify
any form of conscious life; we do not. We hold the
terms mind, intellect, understanding as
strict synonyms. Among bodily beings, man alone
has mind.
Man has bodily knowing powers called
the senses.
There are five external senses: sight, hearing,
taste, smell, and feeling or touch. There are four
internal senses: imagination, sentient
consciousness, sentient memory, and instinct. The
senses are bodily powers. But the mind is an
nonmaterial power. The senses lay hold of
individual material objects. The mind lays hold of
these objects in a suprasensible manner, and it
also lays hold of objects which are entirely out of
reach of the senses.
By the sense of sight, for example, we lay hold
of bodily things that have color. We see individual
things -- people, trees, animals, rocks. But by the
mind we understand what these things are in
themselves. We this or that tree; but we understand
what tree is. The tree we see is this one
bodily thing. But the mind's knowledge of
tree enables us to define tree, and
the definition fits not only this one bodily thing,
but each and every tree that ever was or
is or will be or can be. We
know an essence. Therefore philosophers say, "The
senses grasp things in
individual; the
mind grasps things in
universal."
Thus it is apparent that the mind lays hold of
things in a suprasensible manner.
The mind also lays hold of things that the
senses cannot grasp. By the mind we know what
honor is, or liberty, or
patriotism, or unity, or
truth. These things are outside the reach of
the senses.
The mind is a nonmaterial knowing power or
faculty. It is
a faculty of man's soul. But man is not a soul
alone, nor a body alone; man is a single compound
of body-and-soul. In this present life, the mind of
man cannot come into direct or immediate knowledge
of the essences of things; it must get at these
essences by working them out from the findings of
the senses. For all human knowledge in this world
begins with the action of the senses, and of
the external senses. The mind draws from
sense-findings the essential elements which
constitute its object.
That the mind is a soul-faculty, and that the
soul is a nonmaterial substance, are truths
investigated in the part of philosophy called
psychology. These truths will be taken up in a
later mini-course.
b) Fundamental
Operations of Mind
The findings of the outer senses are immediately
carried inward to the inner senses of imagination
and sentient consciousness. Imagination in its
first and basic use is not the fancy by which we
"make up" images; it is not a cartooning power;
first of all it a faithful reproducing power; it
presents inwardly the findings of the outer senses
exactly as these are experienced. And sentient
consciousness makes us aware of the things thus
sensed outwardly and represented inwardly in the
imagination.
So far the senses serve the mind: they grasp
their objects, and these are inwardly reproduced or
represented in conscious imagination. Here the mind
goes to work on them.
The very first thing the mind does is to pay
attention to the sense-findings held in
imagination. It focusses upon them, finding in them
a certain point of interest and inquiry.
Secondly, the attentive mind lays hold of the
point of interest and inquiry, and draws it out, so
to speak, from the circumstances and limitations
with which it is involved or united, and views
it alone. The mind is thus said to draw out or
abstract an
essence. Thus the second mental act is that of
abstraction.
To illustrate. Suppose a boy who has no
knowledge whatever of what circle means is
shown three circles of different size drawn in
different colors on a blackboard. First, the boy
sees the pictures, and at once the seeing is taken
inward and recorded in conscious imagination. Then
the boy's mind or intellect attends; it
focusses on a point of inquiry, "What kind of thing
is this?" Attention continuing, the boy's mind
notices that while all three pictures are different
in size, position, and color, they are all the
same in point of roundness; they are all
pictures of the same thing. The boy's mind
fixes on this one thing, drawing it out from
the circumstances and limitations of size,
position, color, and grasping it alone. In other
words, the boy's mind abstracts from the
nonessential details of size, position, and color,
the thing, the essence, which each of
the pictures represents. This grasp or
understanding of an essence is called
apprehending or
apprehension,
and the essence apprehended and possessed by the
mind is now held in the mind as
a concept or an
idea.
The first operation of the mind is the
forming of ideas. Ideas are formed (and
"formed" does not mean "made up," but "legitimately
worked out:) by the abstractive power of the
attentive mind working on the findings of
the senses, as held inwardly in the imagination. In
other words, the forming of ideas, or
apprehension, is the mind's basic operation,
which it exercises by means of attention and
abstraction.
The second operation of the mind is
judging. When the mind has acquired some
ideas or concepts by the first operation of
apprehending, it tends to compare them, to
notice likenesses and differences, and to
pronounce upon its findings. This pronouncing
of the mind on the agreement or disagreement of
ideas is the operation called judging.
Judging is the basic process of thinking. The
fruit of judging is the
judgment, that
is, the pronouncement of the mind on the agreement
or disagreement of two ideas. And the judgment is a
thought. An idea alone is not a thought, for
an idea is a simple grasp of an essence -- it is a
simple apprehension -- in which the mind
merely takes in an essence, a root-meaning, without
saying anything about it.
But when the mind compares its ideas (always two
by two) and pronounces upon them, it is
thinking. Now, the mind in its pronouncing
upon two ideas will pronounce truly or falsely.
Therefore, truth or falsity is to be found in the
judgment, not in single ideas. When the mind judges
(that is, pronounces) in such a way as to square
with fact, its judgment is true; otherwise its
judgment is false.
The third and final operation of the mind is
reasoning or
inferring.
Reasoning is the process of thinking things
out.
When the mind cannot make a judgment on the
agreement or disagreement of two ideas, this is
because it does not know the ideas clearly or
because it cannot behold them distinctly in their
relations to each other. In this case, the mind
employs a third idea which it does know in relation
to each of the others, and, through the mediation
of this third idea, the mind thinks out or
reasons out the relation of the two to each
other.
Thus, if the mind is unable to judge on ideas
"A" and "B"; if it cannot judge, "A is B" or "A is
not B," because "A" and "B" are not distinctly
grasped in themselves or in their relations to each
other, then the mind calls in idea "C" which it
knows distinctly in itself and in its relations to
the other two. And the mind reasons thus:
- A is C
- C is B
Therefore
- A is B.
or thus:
- A is not C
- C is B
Therefore
- A is not B.
Here the mind is able to reach judgment on "A"
and "B" through their known relation to "C." Notice
that the thing the mind is after in the whole
process is a justified judgment. Thus it is
manifest that the process of reasoning is a
roundabout way of arriving at judgment. This fact
explains why we have called judging the basic
thinking process.
A judgment reached by reasoning is said to be
reasoned out or inferred; the process
of reaching the judgment in this fashion is called
reasoning or inference. More
precisely, this reasoning is called
mediate
inference, because the reasoned judgment
is reached through the medium of a third
idea.
To sum up. There are three notable operations of
the mind: apprehending, judging,
reasoning.
- Apprehending
is the mind's grasping of an essence; the
essence once grasped is held in the mind as a
concept or idea.
- Judging
is the mind's pronouncing on the agreement or
disagreement of two ideas; the pronouncement, as
a thing accomplished by the mind and in the
mind, is called a judgment.
- Reasoning
is a roundabout or mediate way of reaching
judgment when this cannot be reached directly by
the study of the two ideas with which it deals;
the result or fruit of the reasoning process is
a piece of reasoning or a mediate
inference.
c) The Grasp of
Knowledge
The mind forms ideas, judges upon them, and
reasons out inferred judgments as
conclusions or
consequents.
These items of its possessions the mind holds more
or less perfectly, and evokes them on occasion.
Thus the mind has the function of retaining and
using its knowledge. Inasmuch as the mind keeps
what it has learned, it is called the
intellectual
memory.
Notice a contrast here. We have sentient memory
(as do many animals less than man) and intellectual
memory. The function of sentient memory is to
recognize sense experiences as having been
known before. Sentient memory is not the sentient
retaining power; this power is the imagination. But
the mind, inasmuch as it retains and
recognizes meanings -- that is, things
understood and not merely sensed -- is the
intellectual memory.
All knowing, sentient and intellectual, is a
kind of grasping, a kind of getting hold of reality
and taking it in. When we know an object, we take
it into ourselves and possess it; and yet we leave
it where it is and as it is. We do not take in
known objects physically, but
cognitionally.
We take them in a kind of image. And yet the image
is not a mere picture, even a moving picture. It is
a vital and conscious grasp, whereas a picture,
even a cinema projection, is a lifeless and
unconscious representation.
When we know a thing we are joined with it, but
the joining does not produce a third thing
as the joining of material objects always does. A
signet impressed on wax results in figured
wax; an image impressed on a photographic film
results in a figured film. But an object
known is impressed on a knowing power or
faculty without resulting in a figured
faculty. A signet impressed on wax shapes and
limits the wax; the signet impressed on the faculty
of sight does not shape and limit vision.
Knowing is a unique grasping process which
leaves the object known in its objective
otherness even while that object is grasped and
possessed. In a word, knowing is not cramped and
limited by the material limitations of the thing
known. This is true of all knowledge, and eminently
true of intellectual knowledge which grasps objects
in universal.
And therefore philosophy declares that the very
root of knowing is non-materiality, that is,
freedom from the limitations of matter. The
knowledge-image which is the means of our knowing
is not a material or physical image; it is a
cognitional image; it is called, in an ancient
phrase, an intentional image. The term
intentional is not here suggestive of what
is usually meant by intention; it does not
indicate a purpose of the will. It means
according to the intent, the bent, the
tendency of a knowing power. An
intentional image is not a physical image,
but an image suited to the intent, tendency, or
character of knowing and of knowledge. It is a
psychical image
or species.
The grasp of knowledge is the laying hold of
reality in intentional image.
Summary of the
Section
In this Section we have mentioned the chief
operations of the mind: apprehending, judging,
reasoning, and we have learned a brief
explanation of each process. We shall have more
detail about these operations in the Sections which
follow.
We learned that apprehending is
accomplished by the abstractive activity of
the attentive mind, that is, by attention
and abstraction.
We have seen that the second operation of the
mind, that is, judging, is the basic thought
process, and that apprehending is preliminary to
judging, while reasoning is only an indirect
way of reaching a position in which judging is
possible; reasoning itself is accomplished by
connected judging, and it consists in the drawing
out of one judgment from two others.
We have noticed that the fruit of apprehending
is the concept or the idea; that the
fruit of judging is the judgment; that the
fruit of reasoning is a mediate
inference.
We have learned that, in apprehending, the mind
lays hold of a reality by grasping its essence in
intentional image, which is an image
unaffected by the material limitations of
individual things as these exist in nature.
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