But we do not wish to close these new considerations upon the old

theme _de consolatione Philosophiae,_ without noting that philosophy

is not the sole or supreme consoler, as the philosophers of antiquity

believed, and some among the moderns, who assumed the same attitude.

It is neither the sole nor the supreme consoler, because thought does

not exist alone, nor does it exist above life: thought is outside and

inside life; and if on one side it surpasses life, on the other it is a

mode of life itself. Philosophy brings consolation in its own kingdom,

putting error to flight and preparing the conditions for practical

life; but man is not thought alone, and if he has joys and sorrows

from thought, other sorrows and joys come to him from the exercise of

life itself. And in this exercise action heals the evils of action and

life brings consolation for life. The error of Stoicism and of similar

doctrines consists in attributing to philosophy a direct action upon

the ills of life and of making it in consequence the whole totality

of the real. But philosophy has no pocket-handkerchiefs to dry all

the tears that man sheds, nor is it able to console unhappy lovers

and unfortunate husbands (as sentimental people pretend): it can only

contribute to their comfort by healing that part of their pain which

is due to theoretic obscurity. Such part is certainly not small: all

our sorrows are irritated and made more pungent by mental darkness

which paralyses or fetters the purification of action. But it is a

part and not the whole. Every form of the activity of the Spirit, art

like philosophy, practical life like theoretic life, is a fount of

consolation and none suffices alone.

[Sidenote: _Sorrow and the elevation of sorrow._]

"He that increaseth knowledge increaseth sorrow" is a false saying,

because the increase of knowledge is the overcoming of sorrow. But it

is true, in so far as it means that the increase of knowledge does not

eliminate the sorrows of practical life. It does not eliminate, but

_elevates_ them; and to adopt the fine expression of a contemporary

Italian writer, superiority is "nothing but the right to suffer on

a higher plane." On a higher plane, but neither more nor less than

others, who are at a lower level of knowledge,--to suffer on a higher

plane, in order to act upon a higher plane.

FOURTH PART

HISTORICAL RETROSPECT

I

THE HISTORY OF LOGIC AND THE HISTORY OF PHILOSOPHY

[Sidenote: _Reality, Thought and Logic._]

The three terms, _Reality, Thought_ and _Logic_, and their relations,

could be represented by a system of three circles, the one included in

the other, and by marking at will as the first term that which includes

all, or that which is included in all: R T L or L T R. Limiting

ourselves to the first method, the first circle would be Reality,

which Thought (the second circle) would think, in the same way that

it would in its turn be thought in the third circle, formed by Logic,

the Thought of thought, or the Philosophy of philosophy. This graphic

symbol is probably destined to some fortune; but the reader must not

seek it in our pages, because knowing how much inadequacy, clumsiness

and danger it contains, we share the repugnance, almost instinctively

felt at such materializations, which seem to be and are of slight value.

[Sidenote: _Relation of these three terms._]

The vice of that spatial figuration is that it divides into three

circles what is three, but three in one, and should consequently be

expressed as a triple circle which should also be a single circle, in

which all the three coincide; which is geometrically unrepresentable.

The relation of Reality, Thought of Reality and Thought of Thought,

divided into three circles, legitimately gives rise to the question:

Why should there not be a fourth, a fifth, a sixth circle (and so on

to infinity) which should include respectively the third, the fourth,

the fifth (and so on to infinity)? Why should not a Logic of Logic,

or a thought of the thought of thought, and so on, follow the thought

of thought, which is Logic? For us, this question raises no objection

that need bring us to a halt for a single instant, just because we have

never divided the one reality into two or more different realities

(matter and spirit, nature and idea, and so on), nor into a series of

different realities, the one following the other; but we have conceived

it as a system of relations and of correlations, constituting a unity,

indeed the only unity concretely thinkable. There is no progress to

infinity, when the terms are coincident and correlative; hence to

think the thought of thought would not be a new act, but equivalent

to thinking thought. The mental act will be new (and any mental act

is new) for the individual who accomplishes it in conditions that are

always new; but its spiritual form will always be that of Logic, which

thinks thought and contains within itself, on its side, the process

of reality. Further, the indifference exhibited by the symbol of the

triple circle as to the determination of the first as last and the

last as first, confirms for us the non-existence of a first that is

only first and of a last that is only last; confirms, that is to say,

the coincidence of unity in relation that is first and last. Reality

is not only thought by thought, but is also thought; and thought

is not only thought by Logic, but is also Logic. Those who wish to

expound philosophy and history, proceeding from the centre of the logos

or Logic, and those who wish to expound them, proceeding from the

periphery of facts, are both right and wrong, because the centre is

periphery and the periphery centre.

[Sidenote: _Non-existence of a general philosophy outside the

particular philosophic sciences:_]

By adopting this view, which affirms the most complete immanence, it

has never happened that in any part of the Real we have discovered a

division between idea and fact, between general and particular, between

primary and secondary reality and the like, but we have found, in every

part, relation and correlation, unity and distinction in unity. There

is no general philosophy opposed to, or consequent on, or alongside

particular philosophies; particular philosophy is general, and the

general is the particular; nor is there a general history, which is

not also particular history, and _vice versa._ History is always the

history of man as artist, thinker, economic producer, and moral agent,

and in distinguishing these various aspects, it gives their unity,

which does not transcend these various aspects, but _is_ these various

aspects themselves.

[Sidenote: _and consequently of a History of general philosophy outside

the histories of particular philosophic sciences._]

In like manner, the History of thought, or the History of Philosophy,

which is one of these determinate aspects, is distinguished in the

histories of particular philosophic concepts, as the history of

Æsthetic, of Logic, of Economics and of Ethics; but it is also unified

in them and _consists in nothing but them,_ completely resolving itself

into them. There is no _general History of Philosophy,_ in the sense

of a history of _general Philosophy,_ or of _Metaphysics,_ or whatever

else it may be called, outside particular histories (which are unity in

particularity).

One of the errors which in our opinion vitiates the writing of the

history of philosophy, appears to be just the prejudice in favour of a

treatment of the general part of this history, in which, for instance,

speculations concerning practice enter only incidentally, a great

part of logical doctrine is excluded as not belonging to it, and the

doctrines of Æsthetic are hardly referred to at all. The prejudice is

derived, in the last analysis, from the old idea of an Ontology or

Metaphysic, as the science of an ideal world, of which nature and man

are the more or less imperfect actualizations; hence the relegation of

a great part of true and proper philosophy to what is called the human

and natural world, and the looking upon this as a special philosophy,

distinguished from general philosophy and consequently lying outside

the true and proper history of philosophy. That prejudice, amounting

almost to a survival, persists even in those who have more or less

surpassed such a conception, and determines the curious configuration

of a general history of philosophy, outside the special histories.

Such a scheme, when closely examined, shows itself to be a complex of

historical elucidations of some problems of Logic, and of some of the

philosophy of the practical (individuality, liberty, the supreme good,

etc.), and of some arising from their relations (knowing and being,

spirit and nature, infinite and finite, etc.). These are all without

doubt arguments of philosophical history; but they must be united with

the others, from which they have been wrenched, and without which they

prove but little intelligible. Philosophy is present in the Poetics

and the Rhetoric of Aristotle as much as in the Metaphysics; not less

in the _Critique of Pure Judgment_ of Kant, than in the _Critique of

Pure Reason._ It is never outside those treatises concerning what are

called the special parts of philosophy. The present-day historians

of philosophy who have overcome so many forms of transcendence

and re-established immanence, must also overcome the residue of

transcendence, which, so to speak, they still retain in their own house.

[Sidenote: _Histories of particular philosophies and literary value of

such division._]

Certainly, the reality of the distinctions between the various aspects

of the real and between the various particular philosophies renders

possible literary divisions, through which there are composed special

treatises upon Ethics and so upon the history of Ethic; upon Logic and

so upon the history of Logic; upon Æsthetic and so upon the history

of Æsthetic; but it is not possible by a like method of division to

construct a treatise upon general Philosophy and a corresponding

History of general philosophy. It is not possible, because this

literary division presupposes a distinction of concepts; and a general

philosophy is not conceptually distinguishable. When the attempt to

distinguish it is made, we have, as we saw, a mass of historical

fragments taken from the various philosophic sciences; that is to

say, not the coherent historical treatment of problems relating to a

definite aspect of the real, but a more or less arbitrary aggregate.

[Sidenote: _History of Logic in a particular sense._]

With these considerations, we have answered the question concerning the

relation between the History of Logic and the History of Philosophy.

This relation is the same as that between Logic and Philosophy,--terms

which are capable neither of distinction nor of opposition. The history

of Logic is not outside the history of Philosophy, but is an integral

part of this history itself. To make it the object of special treatment

always means to compose a complete history of philosophy, in which,

from the literary point of view, prominence and priority are given

to the problems of Logic, the others being thrown, not outside the

picture, but into the background. The same may be said of the History

of Æsthetic or of Ethic or of any other particular discipline, which is

never held to be distinguishable.

[Sidenote: _Works relating to the history of Logic._]

Logic being more or less profoundly renovated (as we have sought

to do in this book), it is natural that the histories of Logic

hitherto available can no longer be completely satisfactory. For they

are written from points of view that have been surpassed, such as

Aristotelian formalism or Hegelian panlogism, and therefore either

do not interpret facts with exactitude, or they give prominence and

exaggerated importance to certain orders of facts, neglecting others

far more worthy of mention and of examination.

Of the special books bearing the title of the History of Logic, there

is really only one--that of Charles Prantl--which, based upon wide

researches, is truly remarkable for its doctrine and for lucid and

animated exposition. Unfortunately this does not go further than the

fifteenth century and omits the whole movement of modern philosophy.[1]

But even the period exhaustively treated by him (Antiquity and the

Middle Ages) is looked at from the narrow angle of an Aristotelian and

formal temperament. Other works bearing the same title are not worthy

of attention.[2] On the other hand, the better histories of Logic must

not be sought under this title, but especially in the better Histories

of Philosophy, beginning with that of Hegel, which, for the most part,

is precisely a history of Logic.

In inaugurating a new treatment, governed by the principles which we

have defended, we shall confine ourselves, in the following pages,

to a sketch of the history of some of the principal parts of logical

doctrine, without any claim to even approximate completeness, and with

a view to giving simple illustrations of the things that were said

in the theoretical part. In this theoretical part, in virtue of the

identity of philosophy and history which we have explained, history may

be said to be already contained and projected, even though names and

dates are mostly omitted and left to be understood.

[Footnote 1: _Geschichte der Logik im Abendlande,_ Leipzig, 1855-1870,

4 vols. Scattered memoirs of certain writers belonging to later times

are being published by Prantl in academic journals, and it would be

opportune to collect these in a volume.]

[Footnote 2: A rapid sketch, compiled in part from the work of Prantl,

with a polemical addition directed against the adversaries of the

Hegelian Logic, precedes the _Logic_² of Kuno Fischer. The historical

part of the _System der Logik_ of Ueberweg (fifth edition, 1882, edited

by J. B. Meyer) has an almost exclusively bibliographical character

with excerpts, and that contained in L. Rabus, _Logik ii. System der

Wissenschaften,_ Erlangen-Leipzig, 1895, is yet more arid. The _Gesch.

d. Logik_ of F. Harms (Berlin, 1881) is meagre in facts, verbose and

vague. In recent monographs on special points, one feels the effect

of what is called Logistic or new formalism, which makes the authors

pursue ineptitudes and curiosities of slight value.]

II

THE THEORY OF THE CONCEPT

[Sidenote: _Question as to who was the "father of Logic."_]

Just as whenever in Æsthetic any one sought the "father" of the science

Plato was usually named, so whenever a like enquiry has been proposed

for Logic that honourable title has been almost unanimously bestowed

upon Aristotle. But even if we admit (as we must) in a somewhat

empirical and expedient sense, the propriety of these searches for

"discoverers" and "fathers," Aristotle could not in our eyes occupy

that position. For if Logic is the science of the concept, such a

science was evidently begun before him. Further, Aristotle himself

claimed the distinction only of having reduced and treated the theory

of reasoning[1] and recognized elsewhere that to Socrates belonged the

merit of having directed attention to the examination and definition of

the concept (τούς τ' ἐπακτικοὺς λόγους καὶ τὸ όρίζεσθαι), that is to

say, to the very principle of logical Science,[2] the rigorous form of

truth.

[Sidenote: _Socrates, Plato, Aristotle._]

In this affirmation of the consistency and absoluteness of knowledge

and of truth (sustained in him by a vivid religious and moral

consciousness) lies the significance of Socrates as opposed to the

Sophists; as indeed in the same thing lies the importance of Hellenic

Logic of the truly classical period. This Logic elaborated the idea

of conceptual knowledge, of science or of philosophy, and transmitted

it to the modern world with a terminology, which is in great part

that which we ourselves employ. We too reject in almost the same

words as the Greek philosophers the renascent sophism, the perennial

Protagoreanism, and the sensationalism which denies truth, and (like

the ancient Gorgias), by declaring it incommunicable by the individual,

individualizes and reduces it to practical utility. In Plato, the

affirmation and glorification of conceptual knowledge was accompanied

by contempt for the knowledge of the individual, and in comparison

with the immortal world of ideas, the world of sensations was for him

so dark and obscure as to disappear in his eyes like phantoms before

the sun. But Aristotle, although he held firmly that there is no

science of the accidental and individual, and of sensation, which is

bound to space and time, to the _where_ and the _when,_ and that the

object of science is the universal, the essence, _which is being,_

was less exclusive than he; and as he saved the world of poetry from

the condemnation of Plato, so, in all his philosophy and in all his

work as physicist, politician and historian, he affirmed the world of

experience and of history.[3]

[Sidenote: _Enquiries concerning the nature of the concept in Greece.

The question of transcendence and immanence._]

On the other hand, there was in Socrates only the consciousness of

the universal still indefinite and vague; in Plato there appeared

for the first time the consciousness of the true character of the

universal, and so of its distinction from empirical universals; and

in Aristotle this enquiry gave important results. The problem of the

nature of the concept became, then and afterwards, interwoven with

that other problem of the transcendence or immanence of the concepts;

but since, notwithstanding many points of contact, the two problems

cannot be completely identified, they must not be confounded. Indeed,

the problem of the transcendence or immanence of the universals is

reducible to the more general problem of the relation between values

and facts, the ideal and the real, what ought to be and what is;

whereas the other, concerning the nature of the universals, centres

upon the distinction between universals that are truly logical, and

pseudological universals, and upon the greater or less admissibility

of one or the other or of both, and so upon their mode of relation.

The point of contact between the two problems lies in this, that where

pure and real universals are denied and only arbitrary and nominal

universals allowed to subsist, the question of the immanence or

transcendence of the universals also disappears. And as to the first

problem and the polemic of Aristotle against Plato concerning the

ideas, it has appeared to some critics (to Zeller and others) that

Aristotle misunderstood his master and invented an error that Plato

had never maintained, or attacked merely certain gross expositions of

doctrine which were current in some Platonic school. To others again

(to Lotze, for instance), it has seemed that Aristotle thought this

problem, at bottom, in the same way as Plato, who by placing the ideas

in a hyper-Uranian space, in a super-world or a super-heaven, thus

came to refuse to them that reality which Aristotle himself refused

to them and to consider them as _values,_ not as _beings;_ although

Greek linguistic usage prevented Plato from expressing the difference,

just as it prevented Aristotle from expressing the same thing, when it

led him to describe genera as "second substances" (δεύτεραι οὺσίαι).

However, as regards the first interpretation, it certainly seems to

us that it is impossible to raise doubts about such a document as

the testimony of Aristotle[4] by means of such frequently uncertain

documents as the Platonic dialogues. And as regards the second

interpretation, it seems to us that it does not so much purge Plato

of the vice of transcendence as convict his adversary also of sharing

that vice. On this point the opposition of Aristotle to his predecessor

does not coincide with that of modern nominalism and empiricism to

philosophic idealism, for the former sets in question the truth of the

concept itself. Aristotle denied this truth as little as Plato; indeed

he expressly asserted that his predecessor was right, and approved his

definite accusation of the sophists that they were occupied not with

the universal but with the accidental, that is to say, with not-being.

[Sidenote: _Controversies as to the various forms of concept in Plato._]

The beginning of the enquiry as to the nature of universals or of ideas

is to be seen, on the other hand, in Plato's embarrassments before the

questions as to whether there are ideas of everything, of artificial

as well as of natural things, of noble things and vile things alike,

of things only or also of properties and relations; of good things

or also of bad things (καλὸν καὶ αἰσχρόν, ἀγαθὸν καὶ κακόν)[5] He

does not escape from the embarrassments, save occasionally, by making

strange admissions, by accepting ideas of all the preceding, only

to fall immediately afterwards into contradictions, through which

however we see the outlines of the problems of to-day. Are the ideas

representative concepts (of things) or are they not rather categories

(ideas of relation)? Arc opposites particular kinds of ideas (if there

exist ideas of base and ugly things, as well as of beautiful and good

things)? Is it possible to distinguish, from the point of view of the

Ideas, between the natural world and the human world (between natural

things and artificial)? Plato himself refers to mathematical knowledge

as distinct from philosophic knowledge.

[Sidenote: _The philosophic concepts and the empirical and abstract

concepts in Aristotle. Philosophy, physics and mathematics._]

In Aristotle, the determination of the rigorous philosophic concept

and its distinction from empirical and abstract concepts make great

progress, although this does not amount to a solution of those Platonic

embarrassments. Aristotle accurately traces the limits between

Philosophy (and so the philosophic concept) and the physical and

mathematical sciences. Philosophy, the science of God or _theology_

(as he also calls it), treats of being in its absoluteness, and so

not of particular beings or of the matter that forms part of their

composition. The non-philosophical sciences, on the other hand, always

treat of particular beings (περὶ ὄν τι καὶ γένος τι). They take their

objects from sense or assume them by hypotheses, giving now more, now

less accurate demonstrations of them. All the physical sciences have

need of some definite material (ὕλη) because they are always concerned

with noses, eyes, flesh, bones, animals, plants, roots, bark, in short

with material things, subject to movement. There even arises a physical

science that is concerned with the soul, or rather, with a sort of

soul (περὶ ψυχῆς ἐνίας), in so far as this is not without matter.

Mathematics, like philosophy, studies, not things subject to movement,

but motionless being; but it differs from philosophy in not excluding

the matter in which their objects are as it were incorporated (ὡς ἐν

ὔλῃi): the suppression of matter is obtained in them by aphairesis or

abstraction.[6]

[Sidenote: _The universals of the "always" and those of the "for the

most part."_]

This divergence between philosophic and physical or mathematical

procedure is the point upon which empiricism and mathematicism rely;

but these, inferior here to Aristotle, deny the science of absolute

being (περὶ ὅντος άπλῶς) and leave in existence only the second

order of sciences, which deal with the particular and abstract.

There is another important distinction in Aristotle, but to tell

the truth it is impossible to say how far he connected it with the

preceding distinction between philosophy and physics, with which it is

substantially one. Aristotle knew two forms of universal: the universal

of the _always_ (τοῡ ἀεί) and that of the _for the most part_ (τοῡ

ὡς ἐπὶ τὸ πολύ).[7] He was well aware of the difference between the

first, which is truly universal, and the second, which is so only in

an approximate and improper manner; and he even asked himself if the

_for the most part_ alone existed and not also the _always_; but his

interest was directed not so much to the comparative differences of

the two series, as to the common character of universality which both

of them asserted as against the individual and accidental. Science (he

said) is occupied, not with the accidental, but with the universal,

whether it be eternal and necessary (ἀναγκαῖον) or only approximately

universal (ἐπὶ τὸ πολύ).[8] Philosophy, physics and mathematics felt at

this period that they had a common enemy in sensationalism and sophism,

and they formed an alliance against this common enemy, rather than as

happened later, dissipate their energies in intestinal welfare.

[Sidenote: _Controversies concerning Logic in the Middle Ages._]

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