Certain problems of Logic, not yet solved in a satisfactory manner,

arise from the failure to make clear the confusion between concepts

and pseudoconcepts, and between empirical and abstract concepts.

Is it or is it not true that every concept must have an individual

representation, taken from its own sphere, as a necessary _support_?

Are concepts of _things_ possible, or is there a special concept

corresponding to every thing? Is a concept of the _individual_

possible? These three questions may be answered in the affirmative, in

the negative, and in the affirmative-negative, according as they are

referred to the empirical concept, the abstract concept, or the pure

concept.

[Sidenote: _The representative accompaniment of the concept._]

For, if we consider the first question, we must resolutely deny that

the abstract concept has any need of a particular representation as its

necessary support. The geometric triangle, as such, is neither white

nor black, nor of any given size; if the representation of a particular

triangle unites itself to it, geometry discards it. But we must just

as resolutely affirm than an empirical or representative concept has

always an image to support it; the concept of a cat needs the image of

a cat, and every book on zoology is accompanied with illustrations.

The image may be varied, but never suppressed; and it may be varied

only within certain limits, because, if these be exceeded, the concept

itself loses its form and is dissipated. Thus, for the concept of the

cat, we could frame a representation of a white or black or red cat, or

a small or big one; but if scarlet colour or the size of an elephant

be attributed to the cat, which serves as symbol of the fiction, the

concept must be changed. That concept has at its command the images

of cats, upon which it has been formed, which, as we know, are always

finite in number. Finally, with reference to the pure concept, it must

be said that every image and no image is in turn a symbol of it; as

every blade of grass (as Vanini said) represents God, and a number of

images, however great it be, does not suffice to represent Him.

[Sidenote: _The concept of the thing and the concept of the

individual._]

In like manner, as regards the second question, it must be answered

that the empirical concept is nothing but a concept of things, or a

grouping of a certain number of things beneath one or other of them,

which functions as a type; that the abstract concept is by definition,

the not-thing, incapable of representation; and that the pure concept

is a concept of every thing and of no thing. And as regards the third,

we must answer that the abstract concept is altogether repugnant to

individuality; the pure concept alights upon every individual, only

to leave it again, and in so far as it thinks all individual things,

it renders them all, in a certain way, concepts, and in so far as it

surpasses them, it denies them as such; while the empirical concept

can be the _concept of the individual._ Because if in reality, the

individual be the situation of the universal spirit at a determinate

instant, empirically considered the individual becomes something

isolated, cut off from the rest and shut up in itself, so that it is

possible to attribute to it a certain constancy in relation to the

occurrences of the life it lives; so that that life assumes almost the

position of the individual determinations of a concept. Socrates is the

life of Socrates, inseparable from all the life of the time in which he

developed; but empirically and usefully we can construct the concept of

a Socrates a controversialist, an educator, endowed with imperturbable

calm, of which the Socrates who ate and drank and wore clothes, and

lived during such and such occurrences, is the incarnation. Thus we can

form pseudoconcepts of individuals as well as of things, or, to express

it in terms that are the fashion, we can form _Platonic ideas_ of them.

[Sidenote: _Reasons, laws, and causes._]

It is also well to note that to adduce the _reasons,_ the _laws,_

the _causes_ of things and of reality, is equivalent to establishing

concepts, and since the word "concepts" has been applied in turn to

pure and to empirical and abstract concepts, laws and causes have been

alternately described as truths and as fictions. It belongs to the

discussion of terminology to remark that in general the word "reason"

has been used only for researches into pure and abstract concepts,

"cause" for empirical concepts, and "laws" almost equally for all

three, but perhaps a little more for empirical and abstract than for

pure concepts. But to the confusion of these three forms of spiritual

products is to be attributed the fact that there have been discussions,

as, for instance, whether there be _concepts of laws_ in addition to

concepts of things, the issue of which was at bottom the desire to

ascertain whether there exist abstract and pure concepts, in addition

to empirical concepts.

[Sidenote: _Intellect and Reason._]

The profound diversity of the concepts and of the pseudoconcepts

suggested (at the time when it was customary to represent the forms

or grades of the spirit as faculties) the distinction between two

logical faculties, which were called _Intellect_ (or, also, _abstract_

Intellect), and _Reason._ The first of these formed what we now call

pseudoconcepts; the second, pure concepts.

[Sidenote: _The abstract intellect and its practical nature._]

But the proper character of neither of the two faculties was realized

by those who postulated them; they fell into the error, which we have

already had occasion to criticize, of conceiving the Intellect as a

form of knowledge, which either lives in the false, or is limited to

preparing the material for the superior faculty, to which it supplies

a first imperfect sketch of the concept. But the faculty required

for this should be, not of a theoretical nature, but of a practical.

It is a terminological question of slight interest, whether the name

"Intellect" should be retained for the production of pseudoconcepts,

or whether the purely theoretic meaning, which it first had, should be

restored to it, and it should thus be made synonymous with "Reason."

It can only be observed that it will be very difficult to remove

henceforth from "Intellect," from "intellectual formations," and from

"intellectualism," the suspicion and discredit cast upon them by the

great philosophic history of the first half of the nineteenth century;

so much so, that only where a rather popular style is employed, can

Intellect and Reason be used promiscuously.

With greater truth, Reason was considered as unifying what the

Intellect had divided, and therefore as unifying abstraction and

concreteness, deduction and induction, analysis and synthesis. With

greater truth, although complete exactness would have demanded here,

not so much that to Reason should be given the power of unifying

what has been unduly divided, as that to the Intellect, that is to

say, to the practical faculty, should be given the power of dividing

extrinsically what for Reason is never divided: a power which the

Intellect, as a practical faculty, possesses and exercises, not in a

pathological, but in a physiological way.

[Sidenote: _The synthesis of theoretic and practical, and the

intellectual intuition._]

The incomplete survey of the so-called Intellect, the theoretic

character of which was preserved, though in a depreciatory sense,

issued in the result that finally to Reason itself was attributed a

character, no longer theoretic, or rather, _more than theoretic._

Knowledge, presenting itself in the form of Intellect, seemed

inadequate to truth; to attain to which there intervened Reason, or

speculative procedure, the _synthesis of theory and practice,_ a

knowledge which is action, and an action which is knowledge. Sometimes,

Reason itself, thus transfigured, seemed insufficient, owing to

the presence of ratiocinative processes, which came to it from the

Intellect, and were absorbed by it; and the supreme faculty of truth

was conceived, not as logical reasoning, but as intuition; an intuition

differing from the purely artistic and revealing the genuine truth,

an organ of the absolute, _intellectual Intuition._ It was urged

against intellectual intuition that it created irresponsibility in

the field of truth, and made lawful every individual caprice. But a

similar objection could be brought against Reason, which is superior to

knowledge, and is the synthesis of theory and practice: while, on the

other hand, it cannot be denied, both of intellectual Intuition and of

Reason, that on the whole they affirmed or tended to affirm _the rights

of the pure Concept,_ as opposed to empirical and abstract concepts.

[Sidenote: _Uniqueness of thought._]

For our part, we have no need to lower the cognitive activity beneath

the level of truth, by attributing to it an intellectualiste and

arbitrary function; nor, on the other hand (in order to supplement

knowledge and intellect thus pauperized), to exalt Reason above

itself. Thought (call it Intellect, or Reason, or what you will) is

always thought; and it always thinks with pure concepts, never with

pseudoconcepts. And since there is not another thought beneath thought,

so there is not another thought superior to it. The difficulties

which led to these conclusions have been completely explained, when

we have distinguished concepts from pseudoconcepts, and demonstrated

the heterogeneity which exists between these two forms of spiritual

products.

V

CRITIQUE OF THE DIVISIONS OF THE CONCEPTS AND THEORY OF DISTINCTION AND

DEFINITION

[Sidenote: _The pseudoconcepts, not a subdivision of the concept._]

Precisely because they are heterogeneous formations, pure concepts and

pseudoconcepts do not constitute divisions of the generic concept of

the concept. To assume that they did, would be a horrible confusion of

terms, not far different (to use Spinoza's example) from that of the

division of the dog into _animal_ dog and _constellation_ dog; though

poets used at one time to talk of the celestial dog also, as "barking

and biting," when the sun implacably burned the fields.

[Sidenote: _Obscurity, clearness and distinction, not subdivisions of

the concept._]

And seeing that our point of view is philosophic, we can take no

account of another division of the concept, which had great fame

and authority in the past: that into _obscure, confused, clear_ and

_distinct_ concepts and the like, or of the degrees of _perfection_ to

which the concept attains. Such a division can retain at the most but

an empirical and approximate value, and under this aspect it will be

difficult altogether to renounce it in ordinary discourse; but it has

no logical and philosophic value whatever. The concept is what is truly

concept, the perfect concept, not at all the encumbered or wandering

tendency toward it. Yet that division had great historical importance.

By means of it, indeed, the attempt was made to differentiate the

concept, under the name of _clear_ and _distinct_ thought, from the

intuition, which was _clear_ but _confused_ thought, and both of these

from sensation, impression, or emotion, which was called _obscure._

This was attempted, but without success; the problem was set but not

solved; for the solution was only attained when it was seen that,

in this case, it was not a question of three degrees of thought, as

absolute logic claimed, but of three forms of the spirit: of thought

or _distinction,_ of intuition _ox clearness_; and of the practical

activity, _obscurity_ or _naturality._

[Sidenote: _Non-existence of subdivisions of the concept as a logic at

form._]

Logically, the concept does not give rise to distinctions, for there

are not several forms of concept, but one only. This is a perfectly

analogous result in Logic to that which we reached in Æsthetic, when

we established the uniqueness of intuition or expression, and the

non-existence of special modes or classes of expressions (except

in the empirical sense, in which we can always establish as many

classes as we wish). In distinguishing the forms of the spirit, the

two principal forms, theoretic and practical, having been divided,

and the theoretic having been subdivided into intuition and concept,

there is no place for a further subdivision of the theoretic forms,

since intuition and concept are each of them indivisible forms. The

reason for this indivisibility cannot be clearly understood, save by

the complete development of the Philosophy of the spirit; and it is

only to be remarked here in passing, that the division of intuition

and concept has as its foundation the distinction between individual

and universal. And since in this distinction there is no _medium quid_

nor an _ulterius,_ a third or fourth intermediate form, so there is no

subdivision; since we pass from the concept of individuality to single

individuality, which is not a concept, and from the concept of the

concept to the single act of thought, which is no longer the simple

definition of logical thinking, but effective logical thinking itself.

[Sidenote: _The distinctions of the concept not logical, but real._]

Since all subdivision of the logical form of the concept has been

excluded, the multiplicity of concepts can be referred only to the

variety of the objects, which are thought in the logical form of the

concept. The concept of _goodness_ is not that of _beauty_; or rather,

both are logically the same thing, since both are logical form; but the

aspect of reality designated by the first is not the same aspect of

reality as is designated by the second.

[Sidenote: _Multiplicity of the concepts, and the logical difficulty

arising therefrom. Necessity of overcoming it._]

But here arises the difficulty. How can it be that since in the concept

we deal with reality, in its universal aspect, we yet obtain so many

various forms of reality, that is, so many distinct concepts (for

example, passion, will, morality, imagination, thought, and so on), so

many _universals,_ whereas the concept should give us _the universal._

If this variety were not overcome or capable of being overcome by the

concept, we should have to conclude that the true universal is not

attainable by thought, and to return to scepticism, or at least to

that peculiar form of logical scepticism which makes the consciousness

of unity an act of the inner life, which cannot be stated in terms of

logic; that is, mysticism. The distinction of the concepts, one from

another, in the absence of unity, is separation and atomism; and it

would certainly not be worth while getting out of the multiplicity of

representations if we were then to fall into that of the concepts.

For this, no less than the other, would issue in a _progressus ad

infinitum,_ for who would ever be able to affirm that the concepts

which were discovered and enumerated were all the concepts? If they be

ten, why should they not be, if better observed, twenty, a hundred, or

fifty thousand? Why, indeed, should they not be just as numerous as

the representations, that is to say, infinite? Spinoza, who counted,

without mediating between them, two attributes of substance, thought

and extension, admitted, with perfect coherence, that two are known to

us, but that the attributes of Substance must in reality be considered

infinite in number.

[Sidenote: _Impossibility of eliminating it._]

The concept, then, demands that this multiplicity be denied; and we

can affirm that the real is one, because the concept, by means of

which alone we know it, is one; the content is one, because the form

of thought is one. But in accepting this claim, we run into another

difficulty. If we jettison distinction, the unity that we attain is

an empty unity, deprived of organic character, a whole without parts,

a simple _beyond_ the representations, and therefore inexpressible

so that we should return to mysticism by another route. A whole is a

whole, only because and in so far as it has parts, indeed _is_ parts;

an organism is such, because it has and is organs and functions; a

unity is thinkable only in so far as it has distinctions in itself,

and is the unity of the distinctions. Unity without distinction is as

repugnant to thought as distinction without unity.

[Sidenote: _Unify as distinction._]

It follows, therefore, that both terms are reciprocally indispensable,

and that the distinctions of the concept are not the negation of the

concept, nor something outside the concept, but the concept itself,

understood in its truth; the _one-distinct;_ one, only because

distinct, and distinct only because one. Unity and distinction are

correlative and therefore inseparable.

[Sidenote: _Inadequateness of the numerical concept of multiplicity._]

The distinct concepts, constituting in their distinction unity, cannot,

above all, be infinite in number, for in that case they would be

equivalent to the representations. Not indeed that they are finite in

number, as if they were all alike equally arranged upon one and the

same plane, and capable of being placed in any other sort of order,

without alteration in their being. The _Beautiful,_ the _True,_ the

_Useful,_ the _Good,_ are not the first steps in a numerical series,

nor do they permit themselves to be arranged at pleasure, so that we

may place the beautiful after the true, or the good before the useful,

or the useful before the true, and so on. They have a necessary order,

and mutually imply one another; and from this we learn that they are

not to be described as finite in number, since number is altogether

incapable of expressing such a relation. To count implies having

objects separate from one another before us; and here, on the contrary,

we have terms that are distinct, but inseparable, of which the second

is not only second, but, in a certain sense, also first, and the first

not only first, but, in a certain way, also second. We cannot dispense

with numbers, when treating of these concepts of the spirit, owing to

their convenience for handling the subject; hence we talk, for example,

of the _ten_ categories, or of the _three_ terms of the concept, or of

the _four_ forms of the spirit. But in this case the numbers are mere

_symbols_; and we must beware of understanding the objects which they

enumerate, as though they were ten sheep, three oxen, and four cows.

[Sidenote: _Relation of the distinct concepts as ideal history._]

This relation of the distinct concepts in the unity which they

constitute, can be compared to the spectacle of life, in which every

fact is in relation with all other facts, and the fact which comes

after is certainly different from that which precedes, but is also the

same; since the consequent fact contains in itself the preceding, as,

in a certain sense, the preceding virtually contained the consequent,

and was what it was, just because it possessed the power of producing

the consequent. This is called _history_; and therefore (continuing

to develop the comparison) the relation of the concepts, which are

distinct in the unity of the concept, can be called and has been called

_ideal history_; and the logical theory of such ideal history has been

regarded as the theory of the _degrees of the concept,_ just as real

history is conceived as a series of _degrees of civilization._ And

since the theory of the degrees of the concept is the theory of its

distinction, and its distinction is not different from its unity, it

is clear that this theory can be separated from the general doctrine

of the concept with which it is substantially one, only with a view to

greater facility of exposition.

[Sidenote: _Distinction between ideal and real history._]

Metaphors and comparisons are metaphors and comparisons and (like all

forms of language) their effectiveness for the purposes of dissertation

is accompanied, as we know, by the danger of misunderstanding. In order

to avoid this, without at the same time renouncing the convenience of

such modes of expression, it will be well to insist that the historical

series, where the distinct concepts appear connected, is _ideal,_ and

therefore outside space and time, and eternal; so that it would be

erroneous to conceive that in any smallest fragment of reality, or in

any most fugitive instant of it, one degree is found without the other,

the first without the second, or the first and the second without

the third. Here too, we must allow for the exigencies of exposition,

whereby, sometimes, when we intend to emphasize the distinction, we

are led to speak of the relation of one degree to another, as if they

were distinct existences; as if the practical man really existed side

by side with the theoretic man, or the poet side by side with the

philosopher, or as if the work of Art stood separate from the labour

of reflection, and so on. But if a particular historical fact can in

a certain sense be considered as essentially distinct in time and

space, the grades of the concept are not existentially, temporally, and

spatially distinct.

[Sidenote: _Ideal and abstract distinction._]

An opposite, but not less serious error, would be to conceive the

grades of the concept as distinct only _abstractly,_ thus making

abstract concepts of distinct concepts. The abstract distinction

is unreal; and that of the concept is real; and the reality of the

distinction (since here we are dealing with the concept) is precisely

_ideality,_ not _abstraction._ The universal, and therefore also all

the forms of the universal, are found in every minutest fragment of

life, in the so-called physical atom of the physicists, or in the

psychical atom of the psychologists; the concept is therefore all

distinct concepts. But _each one of them is, as it were, distinct

in that union_; and in the same way as man is man, in so far as he

affirms all his activities and his entire humanity, and yet cannot

do this, save by specializing as a scientific man, a politician, a

poet, and so on. In the same way the thinker, when thinking reality,

can think it only in its distinct aspects, and in this way only he

thinks it in its unity. A work of Art and a philosophical work, an

act of thought or of will, cannot be taken up in the hand or pointed

out with the finger; and it can be affirmed only in a practical and

approximate sense that this book is poetry, and that philosophy,

that this movement is a theoretic or practical, a utilitarian or a

moral act. It is well understood that this book is also philosophy;

and that it is also a practical act; just as that useful act is also

moral, and also theoretic; and _vice versa._ But to think a certain

intuitive datum and to recognize it as an affirmation of the whole

spirit, is not possible save by thinking its different aspects

distinctly. This renders possible, for example, a criticism of Art,

conducted exclusively from the point of view of Art; or a philosophical

criticism, from the exclusive point of view of philosophy; or a moral

judgment, which considers exclusively the moral initiative of the

individual, and so on. And therefore, here as in the preceding case,

it is needful to guard against forcing the comparison with history

too far, and conceiving, in history, the possibility of divisions as

rigorous as in the concept. If distinct concepts be not _existences,_

existences are not _distinct_ concepts; a fact cannot be placed in the

same relation to another fact, as one grade of the concept to another,

precisely because in every fact there are all the determinations of the

concept, and a fact in relation to another fact is not a conceptual

determination.

Certainly _distinct_ concepts can become _simple abstractions_; but

this only happens when they are taken in an abstract way, and so

separated from one another, co-ordinated and made parallel, by means of

an arbitrary operation, which can be applied even to the pure concepts.

The distinct concepts then become changed into _pseudoconcepts,_ and

the character of abstraction belongs to these last, not to the distinct

concepts as such, which are always at once distinct and united.

Logic as the Science of the Pure Concept · 第 5 / 33 段