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<h2> SECT. VII. OF ABSTRACT IDEAS. </h2>
<p>A very material question has been started concerning ABSTRACT or GENERAL
ideas, WHETHER THEY BE GENERAL OR PARTICULAR IN THE MIND'S CONCEPTION OF
THEM. A great philosopher [Dr. Berkeley.] has disputed the received
opinion in this particular, and has asserted, that all general ideas are
nothing but particular ones, annexed to a certain term, which gives them a
more extensive signification, and makes them recall upon occasion other
individuals, which are similar to them. As I look upon this to be one of
the greatest and most valuable discoveries that has been made of late
years in the republic of letters, I shall here endeavour to confirm it by
some arguments, which I hope will put it beyond all doubt and controversy.</p>
<p>It is evident, that in forming most of our general ideas, if not all of
them, we abstract from every particular degree of quantity and quality,
and that an object ceases not to be of any particular species on account
of every small alteration in its extension, duration and other properties.
It may therefore be thought, that here is a plain dilemma, that decides
concerning the nature of those abstract ideas, which have afforded so much
speculation to philosophers. The abstract idea of a man represents men of
all sizes and all qualities; which it is concluded it cannot do, but
either by representing at once all possible sizes and all possible
qualities, or by, representing no particular one at all. Now it having
been esteemed absurd to defend the former proposition, as implying an
infinite capacity in the mind, it has been commonly inferred in favour of
the latter: and our abstract ideas have been supposed to represent no
particular degree either of quantity or quality. But that this inference
is erroneous, I shall endeavour to make appear, first, by proving, that it
is utterly impossible to conceive any quantity or quality, without forming
a precise notion of its degrees: And secondly by showing, that though the
capacity of the mind be not infinite, yet we can at once form a notion of
all possible degrees of quantity and quality, in such a manner at least,
as, however imperfect, may serve all the purposes of reflection and
conversation.</p>
<p>To begin with the first proposition, THAT THE MIND CANNOT FORM ANY NOTION
OF QUANTITY OR QUALITY WITHOUT FORMING A PRECISE NOTION OF DEGREES OF
EACH; we may prove this by the three following arguments. First, We have
observed, that whatever objects are different are distinguishable, and
that whatever objects are distinguishable are separable by the thought and
imagination. And we may here add, that these propositions are equally true
in the inverse, and that whatever objects are separable are also
distinguishable, and that whatever objects are distinguishable, are also
different. For how is it possible we can separate what is not
distinguishable, or distinguish what is not different? In order therefore
to know, whether abstraction implies a separation, we need only consider
it in this view, and examine, whether all the circumstances, which we
abstract from in our general ideas, be such as are distinguishable and
different from those, which we retain as essential parts of them. But it
is evident at first sight, that the precise length of a line is not
different nor distinguishable from the line itself nor the precise degree
of any quality from the quality. These ideas, therefore, admit no more of
separation than they do of distinction and difference. They are
consequently conjoined with each other in the conception; and the general
idea of a line, notwithstanding all our abstractions and refinements, has
in its appearance in the mind a precise degree of quantity and quality;
however it may be made to represent others, which have different degrees
of both.</p>
<p>Secondly, it is contest, that no object can appear to the senses; or in
other words, that no impression can become present to the mind, without
being determined in its degrees both of quantity and quality. The
confusion, in which impressions are sometimes involved, proceeds only from
their faintness and unsteadiness, not from any capacity in the mind to
receive any impression, which in its real existence has no particular
degree nor proportion. That is a contradiction in terms; and even implies
the flattest of all contradictions, viz. that it is possible for the same
thing both to be and not to be.</p>
<p>Now since all ideas are derived from impressions, and are nothing but
copies and representations of them, whatever is true of the one must be
acknowledged concerning the other. Impressions and ideas differ only in
their strength and vivacity. The foregoing conclusion is not founded on
any particular degree of vivacity. It cannot therefore be affected by any
variation in that particular. An idea is a weaker impression; and as a
strong impression must necessarily have a determinate quantity and
quality, the case must be the same with its copy or representative.</p>
<p>Thirdly, it is a principle generally received in philosophy that
everything in nature is individual, and that it is utterly absurd to
suppose a triangle really existent, which has no precise proportion of
sides and angles. If this therefore be absurd in fact and reality, it must
also be absurd in idea; since nothing of which we can form a clear and
distinct idea is absurd and impossible. But to form the idea of an object,
and to form an idea simply, is the same thing; the reference of the idea
to an object being an extraneous denomination, of which in itself it bears
no mark or character. Now as it is impossible to form an idea of an
object, that is possest of quantity and quality, and yet is possest of no
precise degree of either; it follows that there is an equal impossibility
of forming an idea, that is not limited and confined in both these
particulars. Abstract ideas are therefore in themselves individual,
however they may become general in their representation. The image in the
mind is only that of a particular object, though the application of it in
our reasoning be the same, as if it were universal.</p>
<p>This application of ideas beyond their nature proceeds from our collecting
all their possible degrees of quantity and quality in such an imperfect
manner as may serve the purposes of life, which is the second proposition
I proposed to explain. When we have found a resemblance [FN 2.] among
several objects, that often occur to us, we apply the same name to all of
them, whatever differences we may observe in the degrees of their quantity
and quality, and whatever other differences may appear among them. After
we have acquired a custom of this kind, the hearing of that name revives
the idea of one of these objects, and makes the imagination conceive it
with all its particular circumstances and proportions. But as the same
word is supposed to have been frequently applied to other individuals,
that are different in many respects from that idea, which is immediately
present to the mind; the word not being able to revive the idea of all
these individuals, but only touches the soul, if I may be allowed so to
speak, and revives that custom, which we have acquired by surveying them.
They are not really and in fact present to the mind, but only in power;
nor do we draw them all out distinctly in the imagination, but keep
ourselves in a readiness to survey any of them, as we may be prompted by a
present design or necessity. The word raises up an individual idea, along
with a certain custom; and that custom produces any other individual one,
for which we may have occasion. But as the production of all the ideas, to
which the name may be applied, is in most eases impossible, we abridge
that work by a more partial consideration, and find but few inconveniences
to arise in our reasoning from that abridgment.</p>
<p>[FN 2. It is evident, that even different simple ideas<br/>
may have a similarity or resemblance to each other; nor is<br/>
it necessary, that the point or circumstance of resemblance<br/>
shoud be distinct or separable from that in which they<br/>
differ. BLUE and GREEN are different simple ideas, but are<br/>
more resembling than BLUE and SCARLET; tho their perfect<br/>
simplicity excludes all possibility of separation or<br/>
distinction. It is the same case with particular sounds, and<br/>
tastes and smells. These admit of infinite resemblances upon<br/>
the general appearance and comparison, without having any<br/>
common circumstance the same. And of this we may be certain,<br/>
even from the very abstract terms SIMPLE IDEA. They<br/>
comprehend all simple ideas under them. These resemble each<br/>
other in their simplicity. And yet from their very nature,<br/>
which excludes all composition, this circumstance, In which<br/>
they resemble, Is not distinguishable nor separable from the<br/>
rest. It is the same case with all the degrees In any<br/>
quality. They are all resembling and yet the quality, In any<br/>
individual, Is not distinct from the degree.]<br/></p>
<p>For this is one of the most extraordinary circumstances in the present
affair, that after the mind has produced an individual idea, upon which we
reason, the attendant custom, revived by the general or abstract term,
readily suggests any other individual, if by chance we form any reasoning,
that agrees not with it. Thus should we mention the word triangle, and
form the idea of a particular equilateral one to correspond to it, and
should we afterwards assert, that the three angles of a triangle are equal
to each other, the other individuals of a scalenum and isosceles, which we
overlooked at first, immediately crowd in upon us, and make us perceive
the falshood of this proposition, though it be true with relation to that
idea, which we had formed. If the mind suggests not always these ideas
upon occasion, it proceeds from some imperfection in its faculties; and
such a one as is often the source of false reasoning and sophistry. But
this is principally the case with those ideas which are abstruse and
compounded. On other occasions the custom is more entire, and it is seldom
we run into such errors.</p>
<p>Nay so entire is the custom, that the very same idea may be annext to
several different words, and may be employed in different reasonings,
without any danger of mistake. Thus the idea of an equilateral triangle of
an inch perpendicular may serve us in talking of a figure, of a
rectilinear figure, of a regular figure, of a triangle, and of an
equilateral triangle. All these terms, therefore, are in this case
attended with the same idea; but as they are wont to be applied in a
greater or lesser compass, they excite their particular habits, and
thereby keep the mind in a readiness to observe, that no conclusion be
formed contrary to any ideas, which are usually comprized under them.</p>
<p>Before those habits have become entirely perfect, perhaps the mind may not
be content with forming the idea of only one individual, but may run over
several, in order to make itself comprehend its own meaning, and the
compass of that collection, which it intends to express by the general
term. That we may fix the meaning of the word, figure, we may revolve in
our mind the ideas of circles, squares, parallelograms, triangles of
different sizes and proportions, and may not rest on one image or idea.
However this may be, it is certain that we form the idea of individuals,
whenever we use any general term; that we seldom or never can exhaust
these individuals; and that those, which remain, are only represented by
means of that habit, by which we recall them, whenever any present
occasion requires it. This then is the nature of our abstract ideas and
general terms; and it is after this manner we account for the foregoing
paradox, THAT SOME IDEAS ARE PARTICULAR IN THEIR NATURE, BUT GENERAL IN
THEIR REPRESENTATION. A particular idea becomes general by being annexed
to a general term; that is, to a term, which from a customary conjunction
has a relation to many other particular ideas, and readily recalls them in
the imagination.</p>
<p>The only difficulty, that can remain on this subject, must be with regard
to that custom, which so readily recalls every particular idea, for which
we may have occasion, and is excited by any word or sound, to which we
commonly annex it. The most proper method, in my opinion, of giving a
satisfactory explication of this act of the mind, is by producing other
instances, which are analogous to it, and other principles, which
facilitate its operation. To explain the ultimate causes of our mental
actions is impossible. It is sufficient, if we can give any satisfactory
account of them from experience and analogy.</p>
<p>First then I observe, that when we mention any great number, such as a
thousand, the mind has generally no adequate idea of it, but only a power
of producing such an idea, by its adequate idea of the decimals, under
which the number is comprehended. This imperfection, however, in our
ideas, is never felt in our reasonings; which seems to be an instance
parallel to the present one of universal ideas.</p>
<p>Secondly, we have several instances of habits, which may be revived by one
single word; as when a person, who has by rote any periods of a discourse,
or any number of verses, will be put in remembrance of the whole, which he
is at a loss to recollect, by that single word or expression, with which
they begin.</p>
<p>Thirdly, I believe every one, who examines the situation of his mind in
reasoning will agree with me, that we do not annex distinct and compleat
ideas to every term we make use of, and that in talking of government,
church, negotiation, conquest, we seldom spread out in our minds all the
simple ideas, of which these complex ones are composed. It is however
observable, that notwithstanding this imperfection we may avoid talking
nonsense on these subjects, and may perceive any repugnance among the
ideas, as well as if we had a fall comprehension of them. Thus if instead
of saying, that in war the weaker have always recourse to negotiation, we
should say, that they have always recourse to conquest, the custom, which
we have acquired of attributing certain relations to ideas, still follows
the words, and makes us immediately perceive the absurdity of that
proposition; in the same manner as one particular idea may serve us in
reasoning concerning other ideas, however different from it in several
circumstances.</p>
<p>Fourthly, As the individuals are collected together, said placed under a
general term with a view to that resemblance, which they bear to each
other, this relation must facilitate their entrance in the imagination,
and make them be suggested more readily upon occasion. And indeed if we
consider the common progress of the thought, either in reflection or
conversation, we shall find great reason to be satisfyed in this
particular. Nothing is more admirable, than the readiness, with which the
imagination suggests its ideas, and presents them at the very instant, in
which they become necessary or useful. The fancy runs from one end of the
universe to the other in collecting those ideas, which belong to any
subject. One would think the whole intellectual world of ideas was at once
subjected to our view, and that we did nothing but pick out such as were
most proper for our purpose. There may not, however, be any present,
beside those very ideas, that are thus collected by a kind of magical
faculty in the soul, which, though it be always most perfect in the
greatest geniuses, and is properly what we call a genius, is however
inexplicable by the utmost efforts of human understanding.</p>
<p>Perhaps these four reflections may help to remove an difficulties to the
hypothesis I have proposed concerning abstract ideas, so contrary to that,
which has hitherto prevailed in philosophy, But, to tell the truth I place
my chief confidence in what I have already proved concerning the
impossibility of general ideas, according to the common method of
explaining them. We must certainly seek some new system on this head, and
there plainly is none beside what I have proposed. If ideas be particular
in their nature, and at the same time finite in their number, it is only
by custom they can become general in their representation, and contain an
infinite number of other ideas under them.</p>
<p>Before I leave this subject I shall employ the same principles to explain
that distinction of reason, which is so much talked of, and is so little
understood, in the schools. Of this kind is the distinction betwixt figure
and the body figured; motion and the body moved. The difficulty of
explaining this distinction arises from the principle above explained,
that all ideas, which are different, are separable. For it follows from
thence, that if the figure be different from the body, their ideas must be
separable as well as distinguishable: if they be not different, their
ideas can neither be separable nor distinguishable. What then is meant by
a distinction of reason, since it implies neither a difference nor
separation.</p>
<p>To remove this difficulty we must have recourse to the foregoing
explication of abstract ideas. It is certain that the mind would never
have dreamed of distinguishing a figure from the body figured, as being in
reality neither distinguishable, nor different, nor separable; did it not
observe, that even in this simplicity there might be contained many
different resemblances and relations. Thus when a globe of white marble is
presented, we receive only the impression of a white colour disposed in a
certain form, nor are we able to separate and distinguish the colour from
the form. But observing afterwards a globe of black marble and a cube of
white, and comparing them with our former object, we find two separate
resemblances, in what formerly seemed, and really is, perfectly
inseparable. After a little more practice of this kind, we begin to
distinguish the figure from the colour by a distinction of reason; that
is, we consider the figure and colour together, since they are in effect
the same and undistinguishable; but still view them in different aspects,
according to the resemblances, of which they are susceptible. When we
would consider only the figure of the globe of white marble, we form in
reality an idea both of the figure and colour, but tacitly carry our eye
to its resemblance with the globe of black marble: And in the same manner,
when we would consider its colour only, we turn our view to its
resemblance with the cube of white marble. By this means we accompany our
ideas with a kind of reflection, of which custom renders us, in a great
measure, insensible. A person, who desires us to consider the figure of a
globe of white marble without thinking on its colour, desires an
impossibility but his meaning is, that we should consider the figure and
colour together, but still keep in our eye the resemblance to the globe of
black marble, or that to any other globe of whatever colour or substance.</p>
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