BOOK REVIEWS.

DARWIN AND AFTER DARWIN. I. THE DARWINIAN THEORY. By _George John

Romanes_, M. A., LL. D., F. R. S. London: Longmans, Green & Co. Chicago:

The Open Court Publishing Co. 1892.

In the present work by Professor Romanes, who may be regarded as the

special exponent of Darwin’s theory of organic evolution, we have a

complete and systematic presentation of “Darwinism according to Darwin.”

It is the outcome of a course of lectures delivered by the author in 1889

before the Royal Institution, London, and forms only part of a much more

extensive treatise on the Darwinian theory, embracing the early history

of biology, and a discussion of the further developments of the theory

subsequent to the death of the great naturalist who gave it birth. The

present part is limited to what is distinctly Darwinian, dealing with it

and with the main objections raised against the general theory of organic

evolution it enforces.

The subject naturally divides into two parts, and Professor Romanes

accordingly deals with it in two sections, in the first of which he

considers organic evolution as a fact, stating the main evidences in

support of the doctrine, while in the second section he furnishes “the

evidences which thus far have been brought to light touching the causes

of organic evolution considered as a process.” The author points out

in his introductory remarks, that in order to establish a theory of a

continuous transmutation of species, which is what is meant by organic

evolution, it is not necessary to furnish proof of _all_ the natural

causes which have been at work. The issue is between the theory of a

supernatural cause, as operating immediately in numberless acts of

special creation, and the theory of “natural causes as a whole whether

these happen, or do not happen, to have been hitherto discovered.”

Moreover, the discussion is concerned only with the origin of species,

and not with that of life, as to which the author says with truth,

“although in the opinion of most biologists it is a question which we may

well hope will some day fall within the range of science to answer, at

present, it must be confessed, science is not in a position to furnish so

much as any suggestion upon the subject; and therefore our wisdom as men

of science is frankly to acknowledge that such is the case.”

The idea of evolution implies continuity, and the author refers to

the fact that the uniformity of nature’s method in the production of

phenomena to which continuity is due, recognised in other fields of

science, strongly recommended the theory of organic evolution for

acceptance on merely antecedent grounds. There is another important fact,

from the antecedent point of view, to which Professor Romanes draws

attention. He states it in the words of Mr. Wallace, who lays down as a

general law that “every species has come into existence coincident both

in space and time with a pre-existing and closely allied species.” This

is a necessary consequence of natural evolution, but no reason can be

assigned for it on the theory of special creation, and the existence of

such a correlation may be regarded as a test-question between the two

theories.

The direct evidence in favor of organic evolution brought together in

the first section of the present work is considered under the several

heads of classification, Morphology, Embryology, Palæontology, and

Geographical Distribution. As to the first of these subjects, the object

of classification has been the arranging of organisms in accordance

with their natural affinities. Organisms have been compared for the

purpose of ascertaining which of the constituent organs are of the most

invariable occurrence, and therefore of the most typical significance,

and the author shows that “all the general principles and particular

facts appertaining to the natural classification of plants and animals,

are precisely what they ought to be according to the theory of genetic

descent; while no one of them is such as might be—and indeed, used, to

be—expected upon the theory of special creation.” In connection with

the important subject of Morphology, the author, after showing that the

theory of descent with continued adaptive modification fully explains

all the known cases of divergence from the typical structure which an

organism presents, devotes himself especially to the argument from

rudimentary structures. These are of such general occurrence that they

are found in every species, and such obsolescent or vestigial structures,

as the author terms them, are of great value as evidence for the theory

of evolution, particularly those found in adult man. To human vestigial

structures the author pays particular attention, his observations being

accompanied by excellent illustrations from nature. It is noteworthy that

he abandons the flattening of the tibia in man, and the disposition of

valves in human veins, as arguments in support of man’s natural origin,

which is abundantly supported, however, by reference to other rudimentary

organs.

The science of Embryology is of special importance, on account of the

history it affords of the _process_ of evolution, and thus supplying

evidence of the fact, although the author remarks, “the foreshortening of

developmental history which takes place in the individual lifetime may

be expected often to take place, not only in the way of condensation,

but also in the way of excision.” To understand the argument from

embryology it is necessary to trace the first beginning of individual

life in the ovum, and for this purpose to consider the phenomena

of reproduction in their most simple form. In connection with this

subject, Professor Romanes, after examining the features in which

the cell-division of protozoa differs from that of metazoa, and after

considering the grounds on which it may be concluded that there is a

physiological continuity between growth and sexual reproduction, points

out that the constructive argument in favor of evolution derived from

embryology commences with the fertilisation of the metazoal ovum. As

this first stage has not been adequately treated by any other writer,

the author deals with it at considerable length. The later stages of

individual development, including that of the vertebrata, on the lines

of Haeckel’s ideal primitive vertebrate, are more concisely treated.

The science of embryology, covers the whole field of animal life, and

it is not surprising therefore that it is considered by the author and

other evolutionists as furnishing the strongest support to the theory of

evolution.

As to the palæontological evidence, Professor Romanes does not ascribe

to it the paramount importance which it has in popular judgment.

Nevertheless he asserts that, not only is no positive proof against the

theory of descent to be drawn from a study of palæontology, but it proves

two very important general facts in favor of it. These are that from the

earliest to the latest times there has been a constant and progressive

increase in the diversity of types both of animals and plants, and that

“through all these branching lines of ever-multiplying types, from the

first appearance of each of them to their latest known conditions, there

is overwhelming evidence of one great law of organic nature—the law of

gradual advance from the general to the special, from the low to the

high, from the simple to the complex.” These general facts are supported

by detailed consideration of fossil horns, bones, teeth and shells, which

supply four special lines of evidence. The evolution of mammalian limbs

with particular reference to the hoofed animals is treated with a fulness

its importance requires.

As the geological argument is concerned with the distribution of species

in time, so that based on the present geographical distribution of

animal and plant species is concerned with their distribution in space.

This, although not regarded by the author as a crucial test between the

rival theories of creation and evolution, is declared to be one of the

strongest lines of evidence in favor of the latter. The general facts

relied on are, the discontinuity of distribution of certain species, the

absence of any _constant_ correlation between habitats and animals or

plants suited to live upon them, and the presence in every biological

region of species related to other species in genera, and usually also

genera related to other genera in families; this correlation between a

geographically restricted habitat and the affinities of its fauna and

flora being repeated over and over again throughout the earth’s surface.

But further, the correlation between habitats and their animals and

plants is not limited to the now existing species, that is, the dead

and living species are allied, showing that the latter are modified

descendants of the former. Moreover, where the areas of distribution are

not restricted, through species wandering away from their native homes,

the course of their wanderings is marked by the origination _en route_ of

new species. Another important consideration is that a double correlation

exists in the geographical distribution of organic types. That between

the geographical restriction and natural affinity among inhabitants of

the same areas has already been mentioned. The second is the correlation

between _degrees_ of geographical restriction and _degrees_ of natural

affinity. This is consonant with the theory of descent with modification,

as “the more distant the affinity, and therefore, _ex hypothesi_, the

larger and the older the original group of organisms, the greater must

be the chance of dispersal.” These general considerations are supported

by detailed illustrations drawn from the distribution of aquatic and

terrestrial organisms. The author shows that an examination of the

faunas and floras of oceanic islands establishes the general law “that

_wherever_ there is evidence of land-areas having been for a long time

separated from other land-areas, there we meet with a more or less

extraordinary profusion of unique species, often running up into unique

genera.” There is, moreover, a constant correlation between the _degree_

of this peculiarity, and the time during which the fauna and flora have

been isolated. The author concludes this part of his argument by the

forcible observation that “if the doctrine of special creation is taken

to be true, then it must be further taken that the one and only principle

which has been consistently followed in the geographical disposition of

species, is that of so depositing them as to make it everywhere appear

that they were not thus deposited at all, but came into existence where

they now occur by way of genetic descent with perpetual migration and

correlative modification.”

The second part of this work, that which treats of selection, under the

two heads of Natural Selection and Sexual Selection, although in some

respects the most important, does not need to be noticed so fully as that

which deals with the facts of natural evolution. After stating the theory

of natural selection, the author notices various fallacies connected

with it which are largely prevalent among the adherents of Darwinianism,

although nowhere fallen into by Darwin himself, and the still greater

fallacies found in the writings of his opponents. In the two following

chapters Professor Romanes, after stating the main arguments in favor

of the theory of natural selection, reviews the main objections which

have been urged against it. The first argument is that, as a matter of

observation, “the struggle for existence in nature does lead to the

extermination of forms less fitted for the struggle, and thus makes room

for forms more fitted.” The second argument, which the author considers

of overwhelming significance, is that there is not a single instance, in

either the vegetable or the animal kingdom, of a structure or an instinct

which is developed for the exclusive benefit of another species. Its

importance may be judged by the fact that Darwin considered that a single

instance to the contrary would invalidate the whole theory of natural

selection. The third argument is based on the facts connected with the

variation of animals and plants under domestication. Ocular evidence

of the value of this argument is furnished by a series of drawings

prepared for the present work representing varieties of pigeons, and of

eight other animals. As special illustrations of natural selection the

author considers the subjects of protective colouring, warning colours,

and mimicry. In referring to his treatment of the criticisms of the

natural selection theory, in the course of which he deals with the main

objections, we cannot do more than mention that based on the possession

by the skate of an electric organ, which, owing to the weakness of

its discharges, cannot apparently be of any use to the animal. This

difficulty seems to be unexplainable according to the principles of

natural selection, and Professor Romanes, in admitting the fact, remarks

that it is of a magnitude and importance “altogether unequalled by that

of any other single case—or any series of cases—which has hitherto been

encountered by the theory.”

The last chapter of the work is devoted to the consideration of the

theory of Sexual Selection, which was suggested by Mr. Darwin to furnish

a scientific explanation of the wide generality of beauty in organic

structures. It is an observed fact that sexual selection does take place

among the higher animals, and it is inferred that, the selection has

reference to an æsthetic taste on the part of the animals themselves;

and that this cause is adequate to explain the phenomena of beauty

presented by such animals. After stating the evidence in favor of these

conclusions, the author considers at length Mr. Wallace’s views on the

subject. These constitute the objections urged against the theory of

sexual selection, of the truth of which, however, Darwin shortly before

his death expressed himself as remaining firmly convinced.

Professor Romanes concludes his present volume with a few general remarks

on the philosophical relations of Darwinism to the facts of adaptation

on the one hand and to those of beauty on the other. In none of these,

says the author, do we meet with any independent evidence of supernatural

design, although there is abundant evidence throughout organic nature of

natural causation. And yet natural causation furnishes no disproof of the

existence of a Supreme Being. The whole of organic and inorganic nature

is made subject to one rule of government, but “the ulterior and ultimate

question touching the nature of this government as mental or non-mental,

personal or impersonal, remains exactly where it was.” Moreover, if

there be an intelligent First Cause, of whose Will all secondary causes

are the expression, their operation must be uniform, so far as the Will

is consistent, and therefore it must appear as what we call mechanical.

Thus according to the pure logic of the matter, “the proof of organic

evolution amounts to nothing more than the proof of a natural process.”

In an appendix to Chapter V, Professor Romanes offers suggestions as to

the imperfection of the geological record, and meets various objections

against the theory of organic evolution on that ground. But we must now

leave this excellent work, which will undoubtedly answer the expectation

with which it was prepared, of being “a compendium, or handbook, adapted

to the requirements of a general reader or biological student, as

distinguished from those of a professed naturalist.”

It is enriched by a very good portrait of Darwin, in whose footsteps

the author has sought to tread by “avoiding dogmatism on the one hand,

and undue timidity as regards general reasoning on the other.” In

his introductory observations he dwells on the remarkable influence

exercised by Darwin over the method of investigation of organic nature,

by treating the discovery or accumulation of facts, not as an end, but

as a means for generalisation, thus bringing natural history into a line

with other inductive sciences.

The value of the work is materially increased by the addition of numerous

well executed original illustrations, besides various plates derived from

Haeckel’s works and other sources, some of them American. It has also a

good Index which will add much to its usefulness.

Ω.

GRUNDRISS DER NATURLEHRE FÜR DIE OBEREN CLASSEN DER MITTELSCHULEN. Von

Dr. _E. Mach_. Ausgabe für Gymnasien. Mit 358 Abbildungen. 315 pp. Vienna

and Prague: F. Tempsky. Leipsic: G. Freytag.

The principles that have guided Professor Mach in the preparation of

these outlines of Physics, are in the main as follows:

The concepts and notions of physical science should not be set forth

dogmatically, but should be presented as much as possible under the

influence of the actual natural facts that lead to them. Hypotheses

and theories should be employed only when actually necessary. Long

mathematical developments and pages of formulæ only impede the scholar’s

total view of his subject and afford of themselves no insight. _Logical_

finish should not be sought after in elementary presentations; the method

of the inculcation of truths should, so to speak, be _psychological_: the

method of their acquisition.

From the brief statement of these guiding principles, the reader will

observe that Professor Mach’s conception of the proper form of an

elementary text-book, differs greatly from that usually entertained.

The method of presentation is not the dogmatic, the “logical,” which

sets forth a science as a ready-made and perfected, mystically created,

product; but the genetic, the historical, the natural. We are constantly

made aware, in the study of this book, of what knowledge really means

and what it does not. We are not treated, in its introductory chapter,

as we are in most of the text-books of Physics, to disquisitions on the

insolubility of the questions What is Matter, What is Energy, What is

Force, and to like professions of metaphysical ignorance, which make us

wonder how people can request us to read hundreds of pages about things

it is impossible to have knowledge of; but we are presented throughout

with a simple statement and description, in terms of facts, of what

our fundamental, as well as our derived, notions _are_, and what their

import. It is unnecessary to say that the need of such a book is very

great. And it is pleasant, constantly to discover how well its idea

has been executed. Concise, unburdened by unnecessary and self-evident

developments, it is in our judgment a model of elementary exposition.

With characteristic modesty, Professor Mach disclaims all pretension to

having fully realised his conception, and views his performance simply as

an attempt. The book was submitted, before publication, to a number of

competent educators, whose advice in regard to alterations was frequently

acted upon.

μκρκ.

NOUVELLES RECHERCHES DE PSYCHIATRIE ET D’ANTHROPOLOGIE CRIMINELLE. By _C.

Lombroso_. Paris: Félix Alcan. 1892.

Prof. C. Lombroso’s activity reaches a climax that is almost superhuman.

He contributed to the Italian Archives of Psychiatry two articles,

one of which proves that, at least in Italy, the sense of touch is

weaker in women than in men; it is still weaker and more irregular in

criminal women than in normal women. (Archiv. di. Psichiatr. Sc. pen.

ed. Antrop. Vol. XII, 1891, p. 1-6). The other article (l. c. p. 58-108)

is an inquiry concerning thought-transmission, which contains besides a

critical review of the usual rubbish of so-called telepathic phenomena

two strange observations. The first is the case of a low-bred hysterical

lad who does not possess the faculty claimed by him to understand

telepathically the intentions of whosoever employs him, but strange

enough, if sufficiently charged with whiskey, is able to read any writing

through the envelope with closed eyes. The other case is a somnambulistic

compositor, who sets type correctly in the state of somnambulism.

Blindfolded he draws the figures drawn behind his back upon a slate, and

hypnotised he guesses the numbers which the experimenter thinks. Lombroso

is one of our greatest psychologists, but these experiments perhaps with

the same subjects should be repeated by other psychologists so as to make

sure of their correctness. Lombroso concludes that there seems to be some

foundation in thought-transmission.

The present little volume of new researches applies Lombroso’s theories

concerning morphological abnormalities of the criminal type in the

anthropological field. It appears natural that the criminal type should

show abnormal features, but sometimes Lombroso’s eagerness to discover

abnormal features, even in political criminals such as Charlotte Corday,

is exaggerated. At least we must confess that many abnormalities appear

very frequently among peaceful and law-abiding citizens. The Corday

skull, although a trifle platycephalic, is beautifully rounded and

normal. M. Topinard finds no abnormal features but Lombroso maintains

that its platycephaly is doubly abnormal and he adds: “The capacity of

the skull is 1.360 cubic centimeters while those of Parisian women is

1.337. Must we not conclude that its capacity exceeds the average?” We

read on p. 124 and sq.: “The more our women will be forced to enter

the economical struggle for existence, the more will they become

criminals.... The result (of letting them enter public life) will be to

lower the nature of women.”

The booklet is very instructive even to those who disagree with the

professor, for it is full of facts and valuable observations.

κρς.

VORLESUNGEN ÜBER DIE ALGEBRA DER LOGIK. (Exakte Logik.) By Dr. _Ernst

Schröder_. Erster Band mit viel Figuren im Texte. Leipsic: B. G. Teubner.

1890.

Professor Mach says, “The essence of science is economy of thought.”

If that is so, there is no discipline more imbued with the spirit of

science than algebra. When operating with algebraic symbols we cease

to think out the whole calculation at every stage, and we are enabled

to keep track of the different factors, and of their mutual relations

during the operation from the beginning to the end. In common arithmetic

these factors are lost like rivers in an ocean of homogeneous numbers

which increase and decrease without betraying the way by which they were

reached. Algebraic symbols generalise calculation, and thus we have

the advantage of calculating from the resultant formula any particular

example with machine-like exactness and without the trouble of going

over the whole operation again. The ease with which we can operate

with symbols brings it about that we sometimes out-run our thought and

the correct result may be obtained by an operator who only partially

understands the operation, just as an engineer is able to run a machine

the mechanism of which he but partially understands.

Mathematics having gained so great advantages through the introduction of

algebraic symbols, the question suggests itself whether the same method

might not with some advantage be introduced into the other provinces of

formal science, especially in the domain of logic. The first logicians

who borrowed signs from algebra and introduced them into logic by

generalising their meanings, were two Germans, Gottfried Ploucquet and

Johann Heinrich Lambert. Ploucquet wrote “Principia de substantiis et

phaenomenis, accedit methodus calculandi in logicis ab ipso inventa, cui

praemittitur commentatio de arte characteristica universali,” Frankfort

and Leipsic, 1753, ed. II. 1764.[84] Lambert’s investigations on the

subject are found in his “Logische Abhandlungen.” Prof. Venn, in his

“Symbolic Logic,” p. xxxii, says of Lambert, “He fully recognised that

the four algebraic operations of addition, subtraction, multiplication,

and division, have each an analogue in Logic; that they may here be

respectively termed aggregation, separation, determination, abstraction,

and be symbolised by +, -, ×, :. He also perceived the _inverse_ nature

of the second and fourth as compared with the first and third; and no one

could state more clearly that we must not confound the mathematical with

the logical signification.”

The algebra of logic which through the work of these ingenious men,

had received so favorable a start, was very soon neglected; yet it was

revived after some time in England by Boole, DeMorgan, and Jevons. It

remained for quite a while the almost exclusive property of the English

where at the present time Prof. Venn may be considered as the greatest

English authority on the subject. Venn’s works were rivalled by an

American scholar, Mr. Charles S. Peirce, the same who has contributed

several articles to _The Monist_. The algebra of logic which had been

so long neglected in Germany, is now reviving in the country of its

first birth. The author of the work, the first volume of which lies now

before us for review, is Professor of Mathematics at the Polytechnicum of

Karlsruhe in Baden. The second volume is not yet worked out in detail,

but its publication may be expected in one or two years. The whole work,

when completed, will be the most comprehensive treatise on the algebra

of logic that has as yet appeared. The plan and treatment of Professor

Schröder’s “Vorlesungen über die Algebra der Logik” exhibit that uncommon

thoroughness and exhaustiveness, for which German scholars are justly

famous. The book, in one word, will be the standard work on the algebra

of logic for a long time to come.

It would lead us here too far to review or to sketch the main contents

of Professor Schröder’s work, which, it seems to us, is difficult to

explain without entering into the details and thus going beyond the scope

of mere review. But we shall briefly set forth the chief foundations

upon which Schröder builds his algebra of logic. Professor Schröder has

inscribed two mottos on the title page of his book, but we confess that

we suspect at least one of them is intended to be ironical; it certainly

seems to have been selected when the author was in a mood of humor. Being

conscious of the great value of theoretical speculation, he quotes from

Goethe the following Mephistophelian sentiment:

“I say to thee, a speculative wight

Is like a beast on moorlands lean,

Led circling there by some malicious sprite

While all around lie pastures fair and green.”

There are two kinds of speculation: first, that which attempts to find

out by pure thought a substantial extension of knowledge; and secondly,

that which investigates the methods of inquiry. The former is futile, the

latter is fruitful. The former is that which Goethe censures. To censure

the latter would be a grave mistake. The man who would try to forge bread

out of iron must meet with disappointment, but the smith who invented and

shaped the plow did more for the production of bread than many thousand

farmers taken together, although it may be he did not raise a blade of

wheat. Speculation that attempts to find out things by mere brooding

is _prima facie_ wrong; but speculation that constructs the methods of

investigation is the basis of all progress in science.

The other motto of Schröder’s book is Goethe’s saying: “Man is not born

to solve the problem of the world, but to seek for the point where the

problem begins and then to keep within the limits of the comprehensible.”

It would be well to compare this saying of Goethe’s with another one by

the same author which is “Man should hold fast to the belief that that

which seems incomprehensible, is comprehensible. Otherwise, he would

not investigate.” Schröder follows rather the spirit of the second than

that of the first quotation. He says on p. 105 of the recent volume,

with reference to some critical remarks made by the late Professor

Lotze of Göttingen, who was more brilliant and ingenious than exact

in his philosophical views and who showed an undisguised dislike for

any severe method that has recourse to numbers, figures, schedules, or

classifications, as does the algebra of logic: “If Lotze concludes his

logic with the wish that German philosophy should rise to the attempt at

comprehending the course of the world instead of merely calculating it,

we should answer, Could we first calculate it, then we should certainly

comprehend it so far as comprehension on earth is possible.” But how

is it possible? Simply by properly limiting and defining the field of

investigation; and here we can see that the first saying of Goethe’s

should not be construed in such a way as to appear contradictory to the

second.

Every thinker starts with certain limits of comprehension, but he extends

them so that the stock of knowledge increases in every generation,

and there is no probability that we shall ever reach the limits of an

absolutely incomprehensible. There is no solid progress to be made by

making wild raids in the domain of the unknown, a method which is pursued

only by dreamers and metaphysicians. We must start from the boundary

of the present stock of knowledge, and let our progress be confined

to single well defined and limited problems. How a solution of the

world-problem is possible in this sense, is explained by Schröder on p.

103: “The answer is given in the old parable of the bundle of arrows,

which resists all attempts at breaking it. As a whole it withstood, but

it yielded to him who untied the bundle and broke the arrows singly. The

difficulties which present themselves to the progress of knowledge can

also only be overcome singly, and in their one-sidedness. In the division

of labor thus produced, lies exactly the advantage and the strength of

the diverse disciplines,—_qui trop embrasse, mal étreint_.”

Professor Schröder advertises his book with the following words:

“From the title the reader will observe that here the deductive or formal

logic alone is treated. The calculative treatment of the deductive

logic, through which this discipline is redeemed from the fetters by

which through the power of habit, word-language has bound the human

mind, should deserve, more than anything else the name ‘Exact Logic’!

This method alone can give to the laws of valid inference, their most

pregnant, concise, and clear expression, and is thus enabled to reveal

numerous and important gaps,—why not mistakes,—in the older presentations

of the subject.”

“Since the appearance of the author’s ‘Operationskreis des Logikkalkuls,’

this method of treatment has made progress of highest importance,

especially through the works of the Americans, Mr. Charles S. Peirce and

his school. To Mr. Peirce, more than to anybody else, is due the merit

of having built a bridge from the older and purely verbal treatment

of our discipline to the new calculative method; a bridge which the

professional philosophers rightly found lacking and to which lack is well

to be ascribed the fact that the new method received only a partial and

bewildered attention. Through Mr. Peirce’s works, upon which also the

author has had some influence, the theory is now so far developed and

perfected that for the first and main part of its whole system, a final

presentation and arrangement may be obtained.”

“Endeavoring to offer so far as possible such a final and comprehensive

presentation, the author desires to offer at the same time and in

a systematic way a handbook of the most valuable materials of the

literature of the subject which especially in the English language, is

quite considerable.”

The book addresses two kinds of readers which are of a greatly different

turn of mind, and it will go far in reconciling the methods of both, the

mathematicians and the philosophers.

In the preface Schröder says, “In consideration of the formulæ which

appear in the book, it may be wise to state, that no mathematical

training or any specific knowledge is presupposed to be known by the

reader. We might repeat the words of Dedekind, prefixed to one of his

books: ‘Everybody can understand this work who is in possession of what

is generally called, common-sense.’ But we may add another saying from

another author: ‘The beaux esprits certainly, who are not accustomed to

the severe demands of thought, will very soon turn away from it.’”

The introduction is comparatively long, comprising no less than 125

pages. But, considering that it is more than an introduction, that it

explains the foundation on which the whole work rests, it is not too

long, for it forms an essential and indeed the most important part of

the book. Schröder discusses in it the character and the limitation of

his problem. He explains induction, deduction, contradiction and valid

inference. He considers the nature of signs and names. He says, on p.

38: “Humanity, it appears, does not rise above the absolute zero of

civilisation and the level of animal life, until it develops the activity

of denotation and symbolising. And there is indeed nothing to which the

human mind owes so much for its progress as to the signs of things.

“The sign which speaks in attitude and gesture to emotion, speaks in word

and sentence to the intellect. And it possesses, in accordance with the

laws of the association of ideas, the power of producing in the person

addressed certain ideas.

“While the sign coalesces with the idea, it reacts upon thought itself.

Through signs the ideas which otherwise would remain confused and vague,

are analysed and they become as separate elements, a permanent possession

over which the thinking mind has forthwith free control. Through the sign

we distinguish, we fix differences and make them ready for new peculiar

combinations. The sign, is as it were, the handle by which we take hold

of the objects of thought. Through the sign only, the idea is liberated

from the elements of sense, which are attached to it, and is enabled to

rise into the sphere of generalisation. Thus thinking is on the one hand

liberated, on the other determined by the sign.

“Further, through the sign alone which makes it possible that the same

idea the same purpose can live in many, there is _one_ will, _one_ soul,

and a community of human aspirations exists upon which is based the life

of mankind as a life of individuals in society. And this again is the

basis of our morality and civilisation.

“The efficacy of the sign spoken is considerably increased by the

invention of writing.”

Professor Schröder discusses those two methods of logic which are known

by the names: the Logic of Intension and the Logic of Extension. (_Logik

des Inhaltes_, and _Logik des Umfangs_.) This leads to a discussion of

definition, the categories, and conceptual writing which would find

its ideal in a system of pasigraphy, or universal language, for the

perfection of which an algebra of logic would be indispensable.

The symbols employed by Schröder are borrowed to a great extent from

Peirce, but they are considerably improved and it is probable that

Schröder’s innovations will be universally accepted.

We purposely refrain here from discussing the particulars of Schröder’s

work, stating only in a general way that his proposition of a new symbol

for subsumption, (he proposes to replace the old symbol [symbol] by

[symbol] to signify “equal to or subsumed under”), his treatment of the

symbols 0 and 1, the former representing an absence of certain marks,

or as it has been called their “incompossibility,” as being excluded by

the presence of other marks; the other the universe of the whole subject

under discussion, and all the other problems which he separately treats

in his lectures are admirably presented and command almost throughout

the reader’s consent. We now conclude our review with the quotation of

the last paragraph of Schröder’s introduction on p. 125. Having declared

that “logical inquiry should not be judged from the short-sighted or

narrow-minded, not to say _borné_, utilitarian standpoint,” he points out

the great practical importance of his science, saying:

“Similarly, as with other sciences, so logic also may be expected to

realise and produce undreamed of results, which may incidentally bring

about, in a most surprising way, incalculable advantages. Let me only

point out one thing. Since the impulse which this science has of late

received, there have been already constructed three logical machines

which although we grant, scarcely deserve their name, because their

efficacy remains still very rudimentary, may be compared to Papin’s pot

that in a more advanced state became the steam-engine. Indeed, nobody can

presage whether after all a thinking machine might not be constructed,

which would be analogous to, but more perfect than the calculating

machines. The latter have relieved man of a considerable portion of much

fatiguing thought-work, just as the steam-engine has been successful in

relieving him from physical labor.

“To be sure we must not expect to reap while we are still sowing, and

least so in such a case as this where the harvest is to be expected from

trees.”

κρς.

THE GRAMMAR OF SCIENCE. By _Karl Pearson_, M. A. With 25 figures in

the text. London: Walter Scott, 24 Warwick Lane. Imported by Charles

Scribner’s Sons, New York.

We are greatly in sympathy with the methods and principles of Professor

Karl Pearson’s “Grammar of Science.” The work is a comparatively popular

and also brief exposition of the modern ideal of scientific inquiry.

“The goal of science is clear—it is nothing short of the complete

interpretation of the universe. But that goal,” adds the author, “is an

ideal one—it marks the _direction_ in which we move and strive.”

The best part of the book is in our opinion the introductory chapter

which sets forth “the scope and method of science” and shows the need of

a “Grammar of Science.” Says the author in the summary of this chapter:

“The scope of science is to ascertain truth in every possible branch

of knowledge. There is no sphere of inquiry which lies outside the

legitimate field of science. To draw a distinction between the scientific

and philosophical methods is obscurantism.”

The present generation is in a state of fermentation. While one man

finds a restlessness, a distrust of all authority, a questioning of the

basis of all social institutions and long established methods, another

pictures for us a golden age in the near future. One teacher propounds

what is flatly contradicted by a second. We require some guide in the

determination of our actions, and not for our own private but also our

public duties. “Every citizen is thrust into an appalling maze of social

and educational problems; and if his tribal conscience has any stuff

in it, he feels that these problems ought not to be settled, so far as

he has the power of settling them, by his own personal interests, by

his individual prospects of profit or loss. He is called upon to form a

judgment apart from his own feelings and emotions if it possibly may be—a

judgment in what he conceives to be the interests of society at large.

“How is such a judgment to be formed?” The answer is by science. Such

a judgment can only be based on a clear knowledge of facts, on an

appreciation of their sequence and relative significance. The judgment

based upon them ought to be independent of the individual mind which

examines them, and this frame of mind which is that of the scientist is

an essential of good citizenship. Not as if the scientist were _eo ipso_

a good citizen, but society has an interest in the propagation of the

methods of modern science. Sound citizenship will be promoted by training

the mind to an exact and impartial analysis of facts.

How much a grammar of science is needed can be learned from the confusion

that prevails concerning the fundamental concepts of science. Says

Pearson:

“Anything more hopelessly _illogical_ than the statements with regard

to force and matter current in elementary text-books of science, it is

difficult to imagine; and the author, as a result of some ten years’

teaching and examining, has been forced to the conclusion that these

works possess little, if any, _educational_ value; they do not encourage

the growth of _logical_ clearness or form any exercise in scientific

method.

“The views expressed in this _Grammar_ on the fundamental concepts of

science, especially on those of force and matter, have formed part of

the author’s teaching since he was first called upon to think how the

elements of dynamical science could be presented free from _metaphysics_

to young students.”

Professor Pearson calls attention to the danger that arises from two

modes of thought, viz. that of the metaphysician and that of the

agnostic. He says:

“The poet is a valued member of the community, for he is known to be a

poet; his value will increase as he grows to recognise the deeper insight

into nature with which modern science provides him. The metaphysician is

a poet, often a very great one, but fortunately he is not known to be a

poet, because he clothes his poetry in the language of apparent reason,

and hence it follows that he is liable to be a dangerous member of the

community. The danger at the present time that metaphysical dogmas may

check scientific research is, perhaps, not very great.”

Fortunately the danger that arises from metaphysicism is past. “For,”

adds Pearson, “The day has gone by when the Hegelian philosophy

threatened to strangle infant science in Germany;—that it begins to

languish at Oxford is a proof that it is practically dead in the country

of its birth. The day has gone by when philosophical or theological

dogmas of any kind can throw back, even for generations, the progress of

scientific investigation.”

The scientist will, it is true, often have to confess: “There I am

ignorant.” But it would be absurd to restrict science to the limited

field of thought which it occupies to-day. Professor Pearson continues:

“It is true that this view is not held by several leading

scientists, both in this country and Germany. They are not

content with saying, ‘We _are_ ignorant,’ but they add, with

regard to certain classes of facts, ‘Mankind must _always_ be

ignorant.’ Thus in England Professor Huxley has invented the

term _Agnostic_, not so much for those who are ignorant as for

those who limit the possibility of knowledge in certain fields.

In Germany Professor E. du Bois-Reymond has raised the cry:

‘_Ignorabimus_’—‘We shall be ignorant,’ and both his brother

and he have undertaken the difficult task of demonstrating that

with regard to certain problems human knowledge is impossible.

We must, however, note that in these cases we are not concerned

with the limitation of the scientific method, but with the

denial of the possibility that any method whatever can lead to

knowledge. Now I venture to think that there is great danger in

this cry: ‘We _shall_ be ignorant.’ To cry ‘We are ignorant,’

is safe and healthy, but the attempt to demonstrate an endless

futurity of ignorance appears a modesty which approaches

despair. Conscious of the past great achievements and the

present restless activity of science, may we not do better

to accept as our watchword that of Galilei: ‘Who is willing

to set limits to the human intellect?’—interpreting it by

what evolution has taught us of the continual growth of man’s

intellectual powers.”

The introductory chapter presents the general plan of Professor Pearson’s

book. The following chapters contain the detailed work of the plan.

The headings of these chapters are: II, The Facts of Science; III, The

Scientific Law; IV, Cause and Effect—Probability; V, Space and Time; VI,

The Geometry of Motion; VII, Matter; VIII, The Laws of Motion; IX, Life;

X, The Classification of the Sciences.

Professor Pearson follows Professor Ernst Mach in his expositions

(especially in Chap. II) very closely, and especially refers to the

latter’s contributions to _The Monist_. Pearson emphasises with Mach

the distinction between the conceptual and perceptual, between ideas

or noumena and sensations. He rejects, as does Professor Mach, the

assumption of unknowables beyond our groups of sense-impressions, saying:

“It is idle to postulate shadowy unknowables behind that real world of

sense-impression in which we live” (p. 88), and yet he says in another

passage on p. 134: “There is mystery enough in the chaos of sensations

and in its capacity for containing those little corners of consciousness

which project their own products, of order and law and reason, _into an

unknown and unknowable world_.”

It appears to us that the deeper reason of this apparent inconsistency

can be traced to the author’s conception of the import of knowledge. He

follows Kirchhoff in the acceptance of the theory that scientific law is

a brief description of facts in mental shorthand. But at the same time he

follows Clifford and Mach too closely; the former in the respect that we

can know the “how” only and not the “why,” and the latter in overlooking

the fact that concepts are symbols which stand for something and have a

meaning. Pearson says on p. 145, “Science describes how they [motions]

take place, but the _why_ remains a mystery.” But should we not, we ask,

rather supplant the old and metaphysical conception of the “why” (the

sense of it as here implied) by a better and more correct conception? The

metaphysical “why” is not so much a mystery as it is the incorporation of

an illegitimate problem. The “why” of positive science demands as answer

an exhaustive description of those conditions which as the outcome of a

definite transformation inevitably produce a certain phenomenon.

But here we must criticise Professor Pearson’s view of “description,”

as well also as his view of causation. Cause and effect are to him, as

they were to Mill, mere sequences; necessity belongs exclusively to

the conceptual realm, and is “illogically transferred to the world of

perceptions.”

An exhaustive description will trace the process of causation, and

whenever we succeed in this we have answered the question “why” in the

only sensible meaning it possesses. Sense-impressions do _not_, as

Professor Pearson expresses it, “shut us in,” so that the beyond remains

a mystery to us. Sense-impressions represent the beyond of reality and

they represent it in such a way as to enable us to deal with it properly.

This representation is knowledge and thus the world is _not_ unknowable.

The world is full of mystery, but knowledge itself is not mysterious.

Having sense-impressions and interpreting them in our conceptual

inferences we know something of the world.

We are not prepared to accept Professor Pearson’s views that “change is

perceptual, motion conceptual,” and also that “we are not compelled to

postulate a space outside of self for phenomena” (p. 196). We should

say that our concepts, the concepts motion and space included, represent

certain features of reality. We might give a special name to those

features of reality which are represented by the terms motion and space,

but we could not deny their objective reality without at the same time

denying the validity of the concepts.

Says Professor Pearson, “All things move—but only in conception” (p.

385). “What moves in conception is a geometrical ideal, and it moves

because we conceive it to move.” These propositions have no meaning if

pronounced from our standpoint. Observe also that Professor Pearson

inculcates the conceptuality of motion by unnecessarily repeating the

word in the formula on page 341 which begins as follows: “Every corpuscle

in the _conceptual_ model of the universe must be _conceived_ as

moving....” When we conceive something as moving we mean that not only in

the conceptual model, but also in reality there is an action taking place

which we represent by the concept motion. To say that we have knowledge

only of changes but that we do not know whether those changes which we

describe as mechanical are really motions, appears to us idle subtlety.

The point is whether this method of describing those events enables us to

deal with them properly. If it does it answers the purpose.

In spite of all our disagreements we feel ourselves in close contact with

the author of “The Grammar of Science,” for we agree with respect to the

principles of science and we certainly can leave the settlement of our

differences to a common test on the basis of these principles. Moreover,

the attitude of the author seems to us very much like that which we take

ourselves. We quote from a former publication of his, the following

passage[85]:

“I set out from the standpoint that the mission of Freethought

is no longer to batter down old faiths; that has been long

ago effectively accomplished, and I, for one, am ready to put

a railing round the ruins, that they may be preserved from

desecration and serve as a landmark. Indeed I confess to have

yawned over a recent vigorous inditement of Christianity, and

I promptly disposed of my copy to a young gentleman who was

anxious that I should read a work entitled: _Natural Law in the

Spiritual World_, which he told me had given quite a new width

to the faith of his childhood.”

κρς.

PHILOSOPHIE DER ARITHMETIK. Psychologische und logische Untersuchungen.

By Dr. _E. G. Husserl_. Erster Band. Halle-Saale: C. E. M. Pfeffer. 1891.

The present volume does not pretend to be a complete system of the

philosophy of arithmetic, but it attempts to prepare, in a series of

psychological and logical investigations, the scientific foundation

for a future construction of this discipline, which would be of equal

value to the mathematician and philosopher. The first volume which is

now before us analyses in its first part the ideas plurality, unity, and

number, so far as they are directly given us and not in their indirect

symbolisation. The second part considers the symbolical representations

of plurality and number, and the author attempts to show that the fact

of our being almost throughout limited to symbolical ideas of number

determines the meaning and the purpose of that view which the author

calls “Anzahlenarithmetik.”

The author criticises several theories which in different ways explain

the origin of plurality and unity. There is one theory which explains

the origin of the unit from the unity of consciousness; there is another

one which explains the origin of number from a succession in time. F.

A. Lange bases his theory of number upon space-conception and Bauman

declares there is something mathematical in the external world which

corresponds to the mathematical in us. The theory of difference held

by Jevons, Schuppe, and Sigwart, is declared to be superior to all

others, but even that is rejected by the author. Jevons says, “Number

is but another name for diversity. Exact identity is unity, and with

difference rises plurality.... Abstract number then, is the empty form

of difference.” Dr. Husserl objects: if numbers are all empty forms of

difference, what makes the difference between two, three, four, etc.? The

contents of these numbers are very different. The inability of defining

this difference shows the imperfection of the theory of difference.

Dr. Husserl proposes what he calls “collection” as a special method of

combination by which unities are formed.

Although the book contains many valuable suggestions, it is very hard

reading. The author’s views are not at all clearly set forth. Neither

is the table of contents so systematically arranged as to give us a

clue to the plan of the book, nor is there any index that might give us

assistance in finding out the most characteristic passages. The reader is

supposed to read the book right through, in order to understand detached

chapters or even sentences. And even then we are not sure whether or not

we have understood the author’s propositions the consistency of which is

not as apparent as it might be expected. For, after having criticised

so many attempts at explaining and analysing the ideas, plurality,

unity and number, and after having proposed definitions, explanations,

and analyses of his own, we find on p. 130 a passage where these ideas

are incidentally declared to be incapable of definition. Speaking of

Frege’s theory, Dr. Husserl says, “As soon as we come down to elementary

concepts, all definition has an end. Such concepts as quality, intensity,

place, time, etc., cannot be defined. The same is true of elementary

relations, and of those concepts upon which they are founded. Equality,

similarity, gradation, whole and part, plurality and unity, etc., are

concepts which are utterly incapable of a formal-logical definition.

All we can do in such cases is to produce the concrete phenomena from

which they have been abstracted, and to explain the method of this

process of abstraction. One can, where it is necessary, exactly fence in

(umgrenzen) by diverse circumscriptions, the concepts in question, and

thus prevent confusion with kindred concepts.” We must confess that we do

not understand the author’s idea; what is an act of defining if not an

“umgrenzen,” a fencing in of the concept? The book contains many similar

passages, which, it seems to us, are not properly thought out by the

author. But the subject is a difficult one, and, as the author says in

the preface, “A work of this kind should, with regard to the difficulties

of the problem it treats, be judged with leniency.”

κρς.

CHRISTIANITY AND INFALLIBILITY. Both or Neither. By the Rev. _Daniel

Lyons_. New York: Longmans, Green & Co., 1891. Chicago: A. C. McClurg &

Co.

This little book of Dr. Lyons’s is got up in a much more substantial

and prepossessing form than the majority of the works that come from

Catholic quarters. It contains 284 pages and is supplied with the _Nihil

obstat_ of a Catholic “censor deputatus” and with the _Imprimatur_ of the

Bishop of Denver. In this book, therefore, the reader may be sure that he

possesses a correct exposition of Catholic doctrine.

The purpose of Dr. Lyons is to establish the thesis,—a thesis always

insisted upon by the Catholic church,—“that Christianity, to maintain

its rightful hold on the reason and conscience of men, needs a living,

infallible Witness to its truths and principles; a living, infallible

Guardian of its purity and integrity, and a living, infallible

Interpreter of its meaning.” By Christianity Dr. Lyons means “that body

of sacred truths which the Almighty revealed through the _ministry_ of

Christ and His Apostles.”

We italicise the word “ministry,” for on this word hinges in our

judgment the main and unmistakable argument of Dr. Lyons’s advocacy.

If the results of modern Biblical criticism are at all true, the

“Church,” so-called, must have existed before the New Testament. And

in establishing the authority of the church, the Catholic theologians

regard and use the Bible merely as an “historical narrative, whose

trustworthiness (at least in the parts quoted) can be proved in the same

way as that of any other history, sacred or profane.” They take their

argument “for the institution, mission, and authority of the Church

from the Bible as a mere human record of the sayings and doings of our

Divine Lord and His Apostles.” What is the mission of the church? “_And

he said unto them. Go ye into all the world, and preach the Gospel to

every creature. He that believeth and is baptised shall be saved, but he

that believeth not shall be damned._” These are awful powers, and awful

are the sanctions placed by the same Divine letter-patent in the hands

of the institution that dispenses them. And in the face of the great

complexity and peculiar nature of the Holy writings, in view of their

recognised liability to manifold and multifarious interpretation, does

not such a great and fearful commission of power as this necessarily

and logically imply a concession of Infallibility—of infallibility, let

us add, as _technically_ understood. “Who can suppose that God would

formally commission anybody to teach in his name and command all to hear

and accept His teaching under the severest of penalties, and at the same

time not secure that teacher against the possibility of teaching error

for truth? Suppose the Church thus commissioned by God did actually teach

error, even then would not all (there is no exception made), by reason of

the divine command, be bound to believe? And in that case would not God

Himself be accountable for the erroneous belief? I conclude, therefore,

that the formal commission to teach the Gospel in God’s name, and by His

authority, joined to the express command to believe carries with it a

pledge of the divine assistance of Infallibility as a guarantee to all

men that in yielding the obedience of faith, they are perfectly secure

against all danger of error.” This inference is incorporated in a dogma,

a “Catholic dogma,” of infallibility, which is this: “that the Pope, by

virtue of a special supernatural assistance of the Holy Spirit of Truth

promised to him, in and through St. Peter, is exempt from all liability

to err when, in the discharge of his Apostolic Office of Supreme Teacher

of the Universal Church, he defines or declares, in matters of or

appertaining to Christian faith or morals, what is to be believed and

held, or what is to be rejected and condemned by the faithful throughout

the world. This definition substantially embodies the whole Catholic

teaching on the subject of Infallibility.”

Dr. Lyons’s arguments are well put and well reasoned out. He sees

clearly where the vulnerable point of the present condition of the

Christian churches lies,—which the majority of Protestant theologians

do not see. He sees clearly, though he does not say it, that the

rococo superstructure of neo-Christian dogmatism was long and long ago

undermined by science and that it is now toppling in the minds of the

unscientific generally; and he justly advises all who have set their

hearts on the preservation of the subtle and irrelevant externalities

of religion, to forsake their ancient dwelling-place and seek a safe

and easy abode in the grandly simple and grandly spacious, Roman temple

of Papal infallibility. That edifice is safe against the artillery of

science. It has by one simple act placed itself beyond the reach of all

scientific attacks. For science, or rather the _method of science_,

directly owes its origin to the consciousness of our individual

liability to error and the consequent aspiration of man to establish an

_objective_ criterion of truth. If it attempted to demolish doctrines

of infallibility of any kind, it would simply seek to justify its own

foundations, which it has long ago done. In so far as the doctrine of

infallibility is the only logical outcome of a dilemma in which the

Christian church has, discreetly or indiscreetly, implicated itself,

science has no objection to it; or for that matter to any other

conclusion that logically results from premisses it does not grant.

The question really most worthy of the attention of the “thoughtful,”

“truth-seeking,” and “religious” mind, as Dr. Lyons styles it, is not the

doctrine of infallibility, but the questions, What is religion, What is

God, etc., etc.; and such questions the _truth_-seeking mind will find

it impossible to answer arbitrarily: it must, perforce, answer them in

conformity with that objective criterion of truth called science. And

such subjects are as much the object of science as are motion and matter.

μκρκ.

DER SATZ VOM GRUNDE ALS PRINZIP DES SCHLIESSENS. By Dr. _Franz Erhardt_.

Halle a. S.: C. E. M. Pfeffer. 1891.

This little pamphlet of fifty-six pages, written and published to

acquire for the author the _venia legendi_ at the philosophical faculty

of the University of Jena, treats the several figures of the syllogism

from the standpoint that the middle term of the premisses is, logically

considered, the consequence (_Folge_) of the subject and the reason

(_Grund_) of the predicate in the conclusion. A few remarks are added on

induction and analogy, without, however, entering into the problem as

to the rôle which the method of induction plays in the evolution of the

method of deduction.

κρς.

AGNOSTICISME. Essai sur quelques Théories pessimistes de la Connaissance.

By _E. de Roberty_. Paris: Félix Alcan.

By the publication of this little book M. de Roberty redeems a promise

made in his larger work, on the philosophy of the present century,

already reviewed in _The Monist_ (January, 1892). The pessimist

theories of knowledge of which he treats are the three systems, those

of Criticism, Positivism, and Evolutionism, to which he reduces

contemporaneous philosophy. As these systems are regarded as parallel

manifestations of a common stock of beliefs and general hypotheses, they

must equally adopt the doctrine of Agnosticism. It is the aim of the

present work to point out the several forms assumed by this doctrine and

to show its falsity by an examination of the principles on which it is

based. The author properly insists on the importance of distinguishing

between the affirmation of the unknown and that of the unknowable. The

recognition of the former is essential to all progress in knowledge,

but the latter is “the direct negation of all possibility whatever of

utilising the deficiencies of knowledge,” and leads infallibly to the

worship of ignorance. The best definition of the mental phenomenon

of agnosticism, says M. de Roberty is the _pessimism_ of the theory

of knowledge, and it is not for nothing therefore that Kant preceded

Schopenhauer in the development of idealism.

Modern agnosticism is based on the old notion of the separation of the

phenomenon from the noumenon, and it was Kant who cleared it from its

early theological and metaphysical conceptions. He affirmed the reality

of the “thing in itself” as a fundamental postulate, and then declared

that we can know nothing of things considered in themselves. Among

the conceptions formed by the human mind through the exercise of its

imaginative faculty are three which exhaust the entire content of the

Unknowable. Thus it may be reduced to the idea of a reality other than

that of which we are sensible; to the idea of a subject which perceives

in a different manner from the real subject; and finally to the idea that

our cerebral organisation reveals the world to us under delusive colors,

all of which M. de Roberty declares to be simple fiction. His own ideas

on the subject will appear later on.

Positivism stands towards materialism in the same relation as criticism

stands towards idealism, whose noumenon becomes the unknowable thing

in itself; as the simple matter of materialism becomes the unknown

existence about which positivism says we can neither affirm nor deny

anything. Modern agnosticism may be regarded thus as representing the

long sought synthesis of the purest materialism and the most transcendent

spiritualism, and it offers a striking demonstration of the fundamental

equivalence of the hypotheses hitherto formulated as to the origin and

essence of things. It proves also, says M. de Roberty, that the great

law of the identity of contraries is applicable directly to all our

very general conceptions. Contradictory as they seem to be, universal

postulates must, by virtue of that law, be fundamentally identical. This

introduces a discussion of the antinomies, developed but not invented

by modern criticism, which found in them ample justification for its

conclusion of the reality of the unknowable.

The double antinomy of time and space is regarded by the author as always

presenting itself under the aspect of a long chain of contradictions

which are manifestly merely verbal. The opposition between finite and

infinite may be resolved into the distinction between concrete and

abstract, between particular and general, if infinity is taken as

synonymous with, or the perfect substitute for, general and abstract

quantity, the universal attribute of things isolated from the things

themselves. As to the problems connected with the ideas of a vacuum,

matter, force and motion, M. de Roberty supposes them to have a purely

psychological solution. Such ideas go beyond the “conceptive” capacity

of mechanics and belong to psychology considered, not as a branch of

philosophy, or as philosophy itself, but as a science of abstract

concepts.

The philosophy of evolution, although monistic in the sense that it

recognises the law of the identity of opposites, shows itself not to

be so in reality by its doctrine of the unknowable. In this monism and

agnosticism contradict each other, as it is contrary to reason “to

affirm at the same time the identity of every phenomenon and their

unknowability. The first marks the supreme term of the second. Identity

in general serves to define knowableness. So that, if we remain on

the elevated summits of pure abstraction too long, we run the danger

anticipated by the law of identity of contraries. We fall directly

into the error of taking the apparent negation of identity or of pure

knowledge, the unknowable, for something really distinct, really

separated from the knowable.” This is the illusion of Spencer and of

all the philosophers who have undertaken the difficult task of applying

monism as a corrective of agnosticism.

M. de Roberty concludes the present work with a discussion of the

relation between idea and reality, the thought and the object thought of,

in which he gives us his opinion on that disputed point. He says that

what philosophy calls “the object” is composed essentially of external

nature, in which is included our own organism. Very complicated systems

of motions are transmitted to the grey nuclei or opto-striated bodies

of the central regions of the brain. Here these motions determine new

motions of which the totality is described in psycho-physics by the term

“unconscious ideation.” But this internal motion, continually tending to

become again an initial or external motion, gives rise to unconscious

reflex activity. The motion passes by the white nerve-fibres to the

cortical periphery of the brain which becomes “the seat of a phenomenon,

an excitation, a motion which prolongs or repeats the immediately

preceding phenomenon, excitation, or motion, while giving it a shorter

and more steady action.” The sensations and the reflex-actions derived

from them traverse the opto-striated nuclei without retardation and

without giving rise to any system of ideas; while consciousness resides

in the systemisation or union of the same sensations and reflex-actions.

The notion of the ego results from the union or memory of certain ideas,

sensations, and actions, which before their union and preservation by

the cerebral cortex were unconscious. But before becoming unconscious

ideas, those “intellectual virtualities” were in every other part of the

organism, and in all the media which surround it, as, “manifestations

of energy or of motion, it may be objective phenomena.” Thus, says M.

de Roberty, if the universe is composed of two parts, the ego and the

non-ego, it can be affirmed that they form an uninterrupted circuit.

He supposes that when the cosmical energy has produced the phenomena

of unconscious mentality in the brain-centres, it is divided into two

currents, one of which returns to its source and becomes directly cosmic

energy again, and this will be the fate of the other current also when

the life of the organism ceases.

This view the author supports by a consideration of the morphological

and functional difference supposed to exist between the facts which

constitute the notion of the “ego” and the primordial facts of

unconsciousness comprised under the generic denomination of the

“non-ego.” He regards conscious ideas as the telegraphic alphabet, the

stenographic writing of the cosmos. Consciousness serves to coördinate

the incoherent crowd of events which at each instant invades the normal

brain. In these we may see effects of the cause called “universe,” and

therefore its representatives and substitutes, which they could not

be unless there was identity between the two. Thus the “ego” could be

defined as the final synthesis of the “symbolic abridgments,” of the

micrographical abbreviations, of the “non-ego.” Thus the ego serves only

for the purpose of concentrating or condensing, so to say the non-ego,

which it represents in a manner more or less durable and efficient.

This monistic theory gets rid of the unknowable and therefore is a great

improvement on that of the materialist or of the idealist. Nevertheless

it requires further elaboration. There is no difficulty in understanding

that cosmic motion may become transformed within the organism into a

feeling. This still, however, leaves unaccounted for the existence of the

organism itself. A true monism will, therefore, require that the organism

must be in some way identifiable with the cosmos. This is the true

problem that has to be solved, and its solution will be greatly aided by

the overthrow of agnosticism, against which M. de Roberty has made so

vigorous and successful an attack in the present volume.

Ω.

The Monist, Vol. 2, 1891-1892 · 第 363 / 390 题