III.12
Grasping Abstract
Concepts
To avoid being deceived, bamboozled,
flimflammed, or humbugged,
One must understand concepts from
the concrete to the abstract.
A. Rising Levels of Abstraction B.
Why Abstractions Are Important C.
What is a Concept?
D. Instructive Definitions
E. Fallacies of Reification
F.
Fallacy of Remaining in the Realm of the Abstract
A.
Rising Levels of Abstraction
For
instance, to understand with clarity the proposition "Every
individual is subsumed by ever larger social and physical entities"
requires that we ascend the ladder of abstraction. We start with the
concrete individual and climb to the largest known reality there is,
the universe. As we go up, it can be manifestly observed that the
groups get increasingly abstract, that is, they include more
members, but more and more defining properties of its members are
being separated out. So, increased abstractions come with less
meaning or precision of the parts that it includes.
Note:
Each higher level subsumes all the lower levels.
B.
Why Abstractions Are Important
To understand the world and to bring some order into the chaos of
human impressions one needs concepts and abstractions; one
disregards what in some particular context is less relevant.
Walter A. Kaufmann (1921-80)
a.
To communicate and learn effectively
Effective learning and communication requires writing and reading as
well as speaking and listening. Here, the correct use of language is
our most powerful instrument. Language necessarily involves forming
abstractions. They
are
unavoidable because with them it is possible to reason directly about properties
that hold in general; while without abstractions, thought would be
limited to the
concrete specific or particular.
Hence, it is essential that we know when and how to apply, as well
as understand the difference between, the concrete and the abstract
and the specific and the general. Chances are that if we remain in
the abstract and general, our writing will be obscure and tedious
because the reader cannot connect to the gist and info we are trying
to convey. On the other hand, if we remain in the concrete and
specific, the reader may get lost in details and not get the overall
point we are trying to make.
Therefore, it is essential to know when to climb the ladder of
abstraction to encapsulate the general and when to descent to make
things clear and interesting by connecting them with the concrete
and specific.
Writers who have learned to make their meanings clear constantly
vary their levels of abstraction, using higher level abstractions to
give their statements a broad scope and lower levels to illustrate
the broad assertions in action.
W. Ward Fearnside
b. Not to be deceived by exalted
abstractions
For both, honest and
less honest thinkers, the process of
abstraction brings with it the temptation to lose touch with the
concrete, not so perfect real world, and create a utopian perfect
world for the here and now or even an other-worldly wish world. This
occurs when the thinker ignores reality or disconnects
from it while
climbing the staircase from the down-to-earth concrete to the lofty
heights of abstraction.
Moreover, this is harmful when it leads to euphemistic abstractions
that diminish substantially the impact of horrendous conditions. For
example, the abstraction collateral damage hides the fact that it
refers to the corpses of a few hundred thousand civilians. Or to
state that some people in the third world live in unsanitary
conditions when they literally live in shit and piss.
c. To examine
pernicious reifications of abstractions
An
abstraction is reified when
it is treated as if it had existence and sometimes as if
it were a concrete, objectively verifiable thing (see below). This
is fallacious, but entire systems of philosophy, politics, religion,
pseudo science, and social theories have been built on or have been
supported by this error in reasoning. These insidious constructs are
still with us, being taught and maintained by being ignored. An
observer from the Foundation for Critical Thinking
points out:
Unfortunately, in philosophy [religion] and the social sciences,
most instructors play it safe and remain in the realm of the
abstract. Students will thus not acquire the content or logic of the
abstraction. The often unjust status quo is thus maintained and the college
or university fails one of its fundamental functions, namely, to act
as a catalyst for progressive social change.
C.
What is a
Concept?
When a symbol
stands for a class of objects or events with common properties, it is called a
concept. More broadly speaking, a
concept is that which one has when one understands or is able to use a part of
one's native tongue. This ability may be feeble and limited to simply
distinguishing between objects. For example, a child may make a sound like "wow-wow,"
or say doggie, in the presents of a dog. A stronger grasp of the concept dog
would be the ability to define that which makes a dog a dog, its essence. And
the concept "mammal" is more general than the concept "dog" since it includes
it and many more animal species.
More specific, a concept or predicate is that which is understood when we use
their labels known as terms. To understand a concept is to have its
information content sufficiently comprehended. This competence is demonstrated
when the corresponding term is correctly
-
Used for making judgments,
-
Recognized when it applies, and
-
Understood concerning the consequences of its
application.
All persons
have slightly different concepts related to a given word. The farer away a
concept is from sense information, the more the concept varies between
persons, and should be defined very carefully. For instance the term
"reality" is for the philosophy of "realism" the factual out there as
perceived by the senses and independent of the mind. For "idealism"
things exist only as ideas in the mind rather than as material objects
independent of the mind.
Concepts are stored in the semantic memory of the
brain. They are the basic elements of thought and form an
interrelated web.
Part of this web are up and down links for most concepts. They link
up to those higher level concepts, higher abstractions, of which they
themselves are parts, but they also link down to their own parts which in
turn can have parts and then are lower abstractions. For example, a car links up to means of
transportation, it links down to its parts, wheels etc., and these
parts then may link to their own parts as in the case of wheel to
rim, spokes, tire.
D.
Instructive Definitions
Terms (words, labels). A term labels
(names, designates) concepts
and predicates (see below).
It is important to know that terms, words, and labels in general are
arbitrary, that is, they have no
meaning apart from a form of application in which they have a use.
Their true meaning is therefore the particular way they are used in an
activity or practice. And if we know the language, and keep in mind
that some words have multiple meanings, then we will use the word
correctly.
A common error in communicating arises from assuming that the term
(word, label), e.g., knowledge, truth, normal, God, is the object rather than the information content of
its concept.
Unless the speaker and the one who is spoken to have the same
concept or meaning of terms being used, they will talk past each
other and not settle the argument because the term means something
different to each of them.
Terms (words, labels) have different values for communication
because they differ in their level of
abstraction
(see below).
Abstract terms label
abstract concepts which are the product of the process of
abstracting. They refer to words or
concepts thought of as apart from any particular instances such as concrete objects
or applications.
Abstractness exists only in thinking or language, but not in
reality. Abstract terms and the concepts they name permit the structuralizing of reality,
for example, classifying an object, that is, making it a member of a
class.
Examples
of abstract terms are: love, hate, good, bad, beauty, ugly, freedom,
bondage, virtue, vice, democracy, and the many "-ism": conservatism,
socialism, sexism, feminism, racism, classism, theism, atheism, naturalism.
Abstraction.
An
abstraction is a concept or
predicate word which defines the phenomena
that make up its referents, that is, those concrete objects, events or
application to which the
abstraction refers. It lacks properties that exist in space and
time, but is supposed to exist in some form of being. Here are some
examples:
In trigonometry, the abstract triangle has only the
properties common to all triangles. It does not have the particular
properties associated with concretely existing triangle such as a
definite size, angle, or color.
The world's largest, organized religion is
Christianity. This is,
however, an abstract concept because it has no existence apart from
the concretely existing of about 30,000 distinct and
separately organized churches.
Fruit is a useful abstraction because, for instance, it allows us to
add apples and oranges. But still there is no such thing as fruit apart
form particular apples, oranges, bananas, etc.
Abstracting
is
the process wherein ideas are
distanced from objects. In other words,
it is the
action of divorcing properties of physical objects from the objects
themselves or as in the case divorcing the objects completely.
With other words, the information content of a concept is reduced
which results in a reduction of its complexity.
It necessarily occurs in the ranges of both, from the
specific to the general and from the concrete to the abstract.
Instantiating is the reverse
process of abstracting. Here we descend on the ladder of
abstractions to instances that were part of an earlier abstracting.
Abolition of
Error demands that somehow
abstract terms and concepts
be connected with what is observable directly or indirectly with
instruments. For they make sense only with reference to concrete
contexts of application.
Concrete terms versus abstract terms
Although connected because each one leads to the
other, they are radically different opposites:
Concrete terms
refer to
concepts that have a material
and perceptible existence. That is, they belongs to, or are characterized by things or
events that can be perceived by the senses. Examples are: table, chair, knife,
pot, car, water, air, hot, cold, singing, walking.
Abstract
terms, as we have seen above with examples,
refer to concepts
that do not refer to physical things such as objects
or events; hence, they are not available to the senses.
Specific and general terms
Are not opposites as abstract and concrete terms
are. Rather, they are located at opposite ends of a range of terms or
concepts with space for intermediates.
Specific
terms refer to individuals (my dog)
General
terms refer to groups (all mammals)
Here, an
intermediate term would be all dogs.
As we have seen, and
more broadly speaking, a
specific term
refers to a particular and distinct individual, fact, item, process, or
instance. Moreover, all these particulars may be included under
generalizations.
The meaning of general in
general term
implies applicability to all, nearly all, or most of a group. Words with
nearly the same or more inclusive meaning as general are: universal,
all-embracing, comprehensive, all-inclusive, overall, across-the-board,
global, catholic, and ecumenical.
Personification
(anthropomorphization) occurs when abstractions are referred to in
terms that apply to human beings and when human activities and
intentions are attributed to them.
Predicate.
A sentence expresses
a complete thought and consists of at least a subject and a
predicate. In the sentence "Max sleeps," for example, the predicate
"sleeps" tells what the subject is doing, and that may be true or
false.
Reification
(to reify) (trans. thingification from the
Latin res
thing and facere
to make)
This
fallacy
occurs:
-
When
an abstraction is treated as if it had existence and sometimes as if
it were a concrete, objectively verifiable thing.
-
When
an abstraction is believed to be the cause of producing or capable of
producing desired effects or intended outcomes.
-
When
an abstraction is believed to exist prior to the things they refer to.
-
When
an abstraction that lacks referents is explained by even a higher
abstraction claimed to have some form of existence. In other words,
the obscure is explained with the even more obscure.
Here,
the term reification is applied to all
kinds of abstractions. However, some also apply terms like
hypostatization and concretization depending on the kind of
abstraction. Also, reification is different from objectification
(see below).
Note:
The process of treating abstractions as if it had existence
is not fallacious when the context makes it clear that it is done
for metaphorical, poetical, or fictional purposes. For example as
made clear in a biology text, "In reality, the noun "life" is merely
a reification of the process of living. It does not exist as an
independent entity.
Objectification is the
process of turning subjective, produced by the mind, entities into
objects, that is, make them objective, concrete, externalized. Some
writers use this term also in place of reification for abstract
entities.
E.
Fallacies of Reification
Treating Abstractions as if They were Real
These fallacies
always involve
ascribing substance or real existence to abstractions that are
merely mental constructs or concepts. In addition, a reified
abstraction may be a term with normal usage that is then invalidly
used.
The fallacy of
the reification of the zero
The theologian
Martin Heidegger, after discovering that rain rains, came up with
the idea that the nothing nothings or the nothing nihilates (German,
Das Nichts nichted). Nothing appears as if it were an object doing
something. Now that the nothing is something we may use it in an
argument (grin):
1. A peanut-butter
sandwich is better than nothing.
2.
Nothing is better than an
education
Conclusion: A
peanut-butter sandwich is better than an education
Miscellaneous
Fallacies
a. Famous Politician:
"And so, my fellow Americans, ask not what your country can do for you--ask what you can do for your country." A country is not a
person that can be asked, people ask. Behind this oratory is
the harmful concept that citizens exist for the sake of their
country. Precisely the opposite is the spirit and declared intention
of the U.S. Constitution, namely, that the country or government
exists for the sake of its citizens.
b. A like fallacy is
today's (June 14, 2007) statement by Republican presidential
candidate Rudolph Guiliani: "Globalization is good for the
country." This is a most insidious rhetoric, and Rudi is
either ignorant or vicious or both. Globalization is thought of
mainly as trade between countries, and where each country benefits because
each trades with what it is doing best. However, and this is
crucial, the trade is between individual players in these countries.
It is they who benefit while the many may even suffer considerable
losses. For example, if Microsoft sells $100 billion (one billion is
1,000 million) of software to China, and China sells a $100 billion
manufactured goods to the United States, then Microsoft benefits
enormously while for each billion in imported manufactured goods
about 14,000 jobs are being lost. In this instance that will be
1,400,000 manufacturing jobs lost.
c. "Good and evil
are opposing forces that rule human behavior." The concept of
good and evil are qualities that have no motivation to act one way
or another.
d. "The judgment of
history is . . . ." It is people that make judgments not
history.
e. "Religion has
made progress . . . ." It is people that make progress not
religion.
Other
fallacies of abstractions are: Democracy calls. Duty tells us. . . Justice
demands that we . . . God
wants you to . . .
F. Fallacy of
Remaining in the Realm of the Abstract
Excerpt from Hegel's Who Thinks Abstractly?
(Written ca. 1808)
Translated by W. A. Kaufmann (1921-80)
. . .
. Who thinks abstractly? The uneducated, not the educated. Good
society does not think abstractly because it is too easy, because it
is too lowly (not referring to the external status) -- not from an
empty affectation of nobility that would place itself above that of
which it is not capable, but on account of the inward inferiority of
the matter.
The prejudice and respect for abstract thinking are so great that
sensitive nostrils will begin to smell some satire or irony at this
point; but since they read the morning paper they know that there is
a prize to be had for satires and that I should therefore sooner
earn it by competing for it than give up here without further ado.
I have only to adduce examples for my proposition: everybody will
grant that they confirm it. A murderer is led to the place of
execution. For the common populace he is nothing but a murderer.
Ladies perhaps remark that he is a strong, handsome, interesting
man. The populace finds this remark terrible: What? A murderer
handsome? How can one think so wickedly and call a murderer
handsome; no doubt, you yourselves are something not much better!
This is the corruption of morals that is prevalent in the upper
classes, a priest may add, knowing the bottom of things and human
hearts.
One who knows men traces the development of the criminal's mind: he
finds in his history, in his education, a bad family relationship
between his father and mother, some tremendous harshness after this
human being had done some minor wrong, so he became embittered
against the social order -- a first reaction to this that in effect
expelled him and henceforth did not make it possible for him to
preserve himself except through crime. -- There may be people who
will say when they hear such things: he wants to excuse this
murderer! After all I remember how in my youth I heard a mayor
lament that writers of books were going too far and sought to
extirpate Christianity and righteousness altogether; somebody had
written a defense of suicide; terrible, really too terrible! --
Further questions revealed that The Sufferings of Werther
[by Goethe, 1774] were meant.
This is abstract thinking: to see nothing in the murderer except the
abstract fact that he is a murderer, and to annul all other human
essence in him with this simple quality. . . .
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