LITTERATURBERICHT.

Cesare Lombroso and his assistant S. Ottolenghi communicate the results

of their investigations of the senses of born criminals in a similar

way as the former of the two had done in his “Studies in Criminal

Anthropology,” _The Monist_, Vol. i, No. 2, p. 177 et sqq. Our authors

say: “Since the days of the famous Greek sage who said that nothing came

into the intellect save through the gateway of the senses, it could be

foreseen that a study of the senses would become the gateway to ethics.”

And, it is a fact recognised for some time but not as yet proved by exact

methods that a lack of moral sense is often accompanied with an obtusity

of the sense-organs. Dr. Azam’s famous Felida showed an entire absence of

the moral sense when she was in a state of analgesia; Romanes has pointed

out that the sensitiveness to pain is greater in tame animals than in

wild beasts, this is especially noticeable in the dog. It is noteworthy

also that savage peoples are almost insensible to pain while civilisation

often increases sensibility till it becomes hyperæsthesia.

Obtusity of the sense-organs in criminals should not be confounded

however with the anæsthesia of criminals, because the rarity of

laterality, the absence of isolated insensible places, the lack of motory

anomalies, etc., exclude the supposition of hysteria.

Our authors found among 15 criminal boys between 10 and 14 years no less

than ten cases of absolute analgesia, which proves that this symptom

cannot be the effect of alcoholism, syphilis, marasmus, or overwork of a

special trade.

Several anecdotes are told about the insensibility to pain. An old thief

had his leg amputated with the greatest apathy: the operation done, he

took the limb into his hand and joked about it. An inveterate murderer,

his penal servitude being ended, was dismissed out of the bagnio of the

island S. He asked the warden to be retained, because he did not know how

to get food and shelter. His demand being refused, he opened his bowels

with the handle of a spoon, went to bed as usual, and died without even a

sigh. Mandrin, a criminal, shortly before his execution allowed himself

to be cut in eight places without giving a sign of pain; criminal R.

flayed the skin of his face with a piece of glass. In the penitentiary at

Chatham during the years 1871 and 1872, 841 voluntary wounds and injuries

were made. Among them 27 convicts had mutilated some limb, and in 17

cases the limb had to be amputated.

This obtusity of the sensory organs in criminals is supposed to be of

a cortical origin and being similar to the phenomena of savage life is

interpreted as atavism. Criminals show deficiencies in the senses of

touch, smell, taste, and hearing, but not of sight. And this is analogous

to the savage in whom the sense of sight is naturally very strong, and

no criminal could execute numerous thefts or escape the arm of justice

without a high development of the sense of sight.

In the second article on comparisons of tone-distances Gustav Engel,

Professor at the Royal High-school of Music in Berlin, takes occasion

to explain his views of the subject with reference to the severe

criticism of C. Stumpf on Carl Lorenz’s theory. Wilhelm Wundt had taken

part in the discussion in favor of Lorenz. The subject of the article

lies in the border-land between the physiology of hearing and music;

and Professor Engel comes to the conclusion that affinity of tones, i.

e. the interval-sense in a melodious succession does not lead to the

same accuracy and reliability of hearing as their concord. He objects

to the idea of an arithmetical difference as proposed by Lorenz and

Wundt, and proves it through the fact that the Pythagorean tierce in

the unaccompanied scale makes a less noticeable disturbance than in a

concord, while the approximately pure tierce (which is too low only

by a small fracture of a comma) is excellent in the concord while it

causes a slight disturbance in the melody. Musical intervals are not

identical with the geometrical intervals, yet they are based upon them as

a selection made among innumerable possibilities for certain purposes.

Their acceptance is established only in harmonic music, but this fact too

adds some difficulties to the investigations made in this field, for if

two tones sound together, we can no longer distinguish them separately,

as would be required for the investigation; and if we let the one succeed

the other their geometrical relation is no longer discerned with the same

precision. (Hamburg and Leipsic: Leopold Voss.)

κρς.

VIERTELJAHRSSCHRIFT FÜR WISSENSCHAFTLICHE PHILOSOPHIE. Vol. XV. Nos. 3

and 4.

CONTENTS of No. 3:

PSYCHISCHE UND PHYSISCHE ACTIVITÄT. By _H. Höffding_.

UEBER SPRACHREFLEX, NATIVISMUS UND ABSICHTLICHE SPRACHBILDUNG.

(Achter Artikel.) By _A. Marty_.

ZUR PHILOSOPHIE DER MATHEMATIK. By _Chr. v. Ehrenfels_.

DER FOLGERUNGSCALCUL UND DIE INHALTSLOGIK. By _E. G. Husserl_.

CONTENTS of No. 4:

DIE GESETZMÄSSIGKEIT DER PHYSISCHEN ACTIVITÄT. By _H. Höffding_.

ETHNOLOGIE UND ÆSTHETIK. By _E. Grosse_.

UEBER DIE FORTSCHREITENDE ENTWICKLUNG DES MENSCHENGESCHLECHTS.

(Erster Artikel.) By _F. Rosenberger_.

UEBER SPRACHREFLEX, NATIVISMUS UND ABSICHTLICHE SPRACHBILDUNG.

(Neunter Artikel). By _A. Marty_.

UEBER FERNWIRKUNG UND ANORMALE. WAHRNEHMUNGSFÄKHIGKEIT.

Methodologische Randglossen. By _M. Offner_.

Prof. H. Höffding’s article on psychical and physical activity is an

answer to a criticism by Professor Kroman. Professor Höffding had

proposed, concerning the relation of the psychical to the physical, a

theory which he called the “identity hypothesis,” according to which

the physical and psychical activities are not different in their nature

but only in their phenomenal appearance. K. Kroman, a countryman and

colleague of H. Höffding—both are professors at the University of

Copenhagen—rejected in his recent work “Logic and Psychology” the

identity hypothesis and characterised it as “Duplicism,” a name against

which Höffding protests. Kroman’s objections are as follows: _a_) Natural

science knows of no reason to conceive of the relation of the psychical

to the material in the way expressed by the identity-hypothesis. _b_)

On the basis of the identity-hypothesis it remains unexplained how we

can know anything about the external world. _c_) It is inexplicable how

an identity can obtain of two so different things as are the bodily

multiplicity and the psychical unity. Professor Höffding investigates

these three objections separately and comes to the conclusion that

his identity-hypothesis shows the relation between the psychical and

material nature in a clear and simple light. It excludes on the one hand

materialism and on the other hand spiritualism. The question whether

either phenomenon, spirit or matter, represents the absolute nature of

existence, cannot, according to Höffding, be answered. It appears to

us that Professor Höffding’s position is sound in all main points and

may be considered as that view which is most prevalent among modern

psychologists. However, concerning the question whether spirit or matter

represents the absolute nature of existence, we refer the reader to the

editorial article “Are there Things in Themselves?” section XII, “The

Oneness of Subjectivity and Objectivity.” In our opinion the question

itself is illegitimate. Neither the subjectivity of spirit, nor the

objectivity of matter represents the absolute nature of existence;

both together form the nature of existence; and we omit here the word

“absolute” purposely. The question as to which abstract, matter or

spirit, represents the absolute nature of existence seems to us similar

to the question which of the two terms _A_ and _B_ represents in the

relation _A:B_ the absolute nature of the relation. The obvious answer is

neither.

The eighth article of A. Marty of Prague on Language-reflex is mainly of

a controversial nature directed against L. Tobler’s article on the origin

of language in the _Zeitschrift für Völker-Psychologie_. By Nativism,

Marty understands the theory that certain involuntary articulate sounds

are associated with certain ideas, while the so-called empirical theory

attempts to explain the origin of the first words without such innate

mechanical relations between sounds and concepts. Marty represents the

empirical solution of the problem and objects to the extreme nativism,

but he grants that Tobler’s modified nativism approaches very much to his

own position.

The longest article of the present number (63 pp.) is an essay full of

valuable hints by Chr. v. Ehrenfels on the Philosophy of Mathematics.

The epistemological basis of mathematics demands a psychological

investigation of its contents. Accordingly the author proposes to present

a psychological characterisation of the number-conceptions, from

which he derives some conclusions concerning the theory of cognition.

He investigates the origin of the unity conception which is generally

defined as “positing a unit” or as “conceiving as a unit.” We usually

believe that we abstract numbers directly from the objects, when we

look for instance at one house with two doors and five windows. But

this process of abstraction is not quite so direct as it seems. The

number-conception is not taken from external observation, but carried

into the same; yet this is done involuntarily and inadvertently so that

it appears as if they were _eo ipso_ contained in it.

What is the origin of the concepts “unity” and “multiplicity”? Two

methods present themselves: 1) The concentration of attention and (2)

the act of bringing into relation. The former produces a unity and,

when successively directed to several objects, a series of units. The

latter appears to be required by the consideration that the conception

of a number is conditioned by acts of distinguishing. The number

“two” requires two acts of distinguishing, “three” requires three,

“four” requires six and the number _n_ requires _n_/2(_n_-1) acts

of distinguishing. This explains why we can have clear and direct

conceptions only of very low figures. The idea that a combination of both

methods will explain the facts is by no means excluded. But there is a

third source which may be used to explain the unity conception, viz.

inner experience. “The unity of consciousness,” Ehrenfels says, “has been

misused in philosophy to demonstrate the substantiality, simplicity,

and indestructibility of the soul.” Nevertheless there is some truth in

the unity idea, for the present psychical phenomena present themselves

in a peculiar amalgamation, which admits of a comparison between two

elements while it erects a barrier between the _ego_ and the _tu_. Our

psychical contents will always appear to us as a unit; and on this basis

we might declare that the unity conception is derived from this source.

[Here Ehrenfels does not see that the concentration of attention is

practically the same as the unity of consciousness, for attention means

consciousness, and concentration produces unity.]

Number-conceptions originate by counting. We disjoin things; for

instance, we throw a number of apples into a basket, or we let the finger

slide over the division lines of a measuring stick naming each unit while

proceeding in the act. From such processes the function of counting

can be abstracted while the details are neglected as unimportant. Most

of the higher numbers are never directly but only indirectly realised.

So for instance twenty is to many that number which will be reached by

counting up to twenty, yet the single units of the number are lost sight

of entirely. Such number-conceptions belong to the class of “indirect

concepts” which represent objects not through marks belonging to the

object itself, but originating through its relation to other objects.

The basis of such indirect concepts had been called by Ehrenfels

_Gestaltsqualitäten_, i. e. figure qualities, and by Meinong _fundierte

Inhalte_ or founded contents. Thus indirect conceptions are parts

contingent upon some such basis.

Number-conceptions are not always clearly thought out and there are some

helps to represent higher or more complex numbers. Thus we can think of

ten as represented by the outside and inside corners of a pentagram,

twelve as the edges of a cube, etc., and common among all nations is the

usage of the fingers to represent numbers up to ten. Such helps are quite

different from indirect number-conceptions and may be called figurative

number-conceptions.

That there are mathematical conceptions of magnitudes which have no

objective analogon is quite natural, for there is even in an indirect

conception no warrant for its objective reality; and we ought to

consider how many word- and idea-combinations are possible without

their possessing some analogous reality. Yet the so-called irrational

cannot properly be called a number, it is the demand of a number which

in fractions can sufficiently for certain purposes but never fully be

realised.

Negative numbers always presuppose a contrast and such conditions arise

naturally wherever the fundamental ideas imply two opposite directions,

for instance past and future in time, credit and debit in business, etc.

It is a matter of course that there are in reality as little either

positive or negative numbers, as there are positive or negative colors or

sounds.

Concerning the necessity idea, Ehrenfels says: “Nobody will consider

it as possible that five plus seven will in some cases make any other

number than twelve. We are confident that the same addition will under

all circumstances yield the same sum.” Ehrenfels grants the psychical

certitude of this but not the mathematical, and thinks that on this

point there is a difference of opinion allowable. Here we disagree from

Ehrenfels and refer the reader to former articles on kindred subjects in

_The Monist_, especially the article on “The Origin of Thought-forms,”

Vol. II, p. 111. We must bear in mind that in mathematics we are moving

in a realm of pure forms and the statement 7 + 5 = 12 is, as the Germans

express it, _eindeutig bestimmt_, i. e. it is determined exhaustively in

one and the only one possible way. The numbers 7 and 5 being rigid, their

sum and their product will also be rigid.

This difference of opinion may be contingent upon a difference of the

conception of the _a priori_. Ehrenfels defines as “a priori” such

judgments which having come into our possession, are readily accepted

without proof. We follow Grassmann in rejecting the acceptance of

anything without proof, including the idea of mathematical axioms. The

_a priori_ in our terminology becomes identical with that which pertains

to formal thought: and it would make no difference whether the instance

presented is as simple as 1 + 1 = 2 or extremely complex as are the

differential calculus and logarithms. Accordingly we disagree also from

Ehrenfels when he finds even in such additions as for instance 825 +

217 = 1042 vestiges of an _a posteriori_ character. The employment of

the logarithms accordingly appears to Ehrenfels also _aposterioristic_

because the fruits of other peoples’ labors are utilised!

Concerning John Stuart Mill’s view of the subject, Ehrenfels says that

“it is still deeply entangled in the errors of that conception which it

so bitterly opposes, viz. in the formalism of the old purely _a priori_

conception. For only he who adheres to the view that all mathematics

are deduced from a few axioms can think of attributing to those axioms

the highest degree of plausibility which is assumed for them on the

ground of comprehensive deduction.” We agree with Ehrenfels’s objection

to Mill, but we cannot agree with his view that mathematics derives any

elements from _a posteriori_ elements, although we grant that quite new

departments are created simply by a different employment of certain

functions. Accordingly mathematics cannot be derived from a few axioms

only but is the products of certain functions.

Ehrenfels calls attention to the fact that the mathematician operating

with symbols often forgets entirely what he has to think of in connection

with these symbols. “This is not strange,” he adds, “for thoughtless

word-combinations present analogous instances, yet it is strange that

the result almost without exception comes out right; _es stimmt!_” We

object here; operations with mathematical symbols are not thoughtless

combinations, at least, they are not meaningless. They are operations

not with things, but with symbols representing certain relations among

things. When gamblers play with chips representing real money, they need

not think during the game of the value represented by a chip, and yet

when the account is made, the result attained with the assistance of the

chips will come out right. There is no reason to wonder at it. Chips like

mathematical symbols might in a certain sense be called thoughtless, for

certainly they do not think; but they are not thoughtless in the sense

that they are meaningless, that nothing is thought by them.

Ehrenfels apparently sees a problem where there is none and this is

closely connected with another point. He looks upon the mathematician’s

inability of thinking out in every respect the objective meaning of

mathematical symbols as a shortcoming of man’s intellect. While it

appears that we cannot think anything by many mathematical symbols (for

instance by _a⁰ = 1_) except the symbol itself, the enormous success

of mathematical thought is evidence that they must have some definite

meaning although it is to be excogitated only by those beings who will

transgress the average intelligence of to-day, the first germs of whose

existence are the mathematical geniuses of the present generation. It

appears to us that undoubtedly every mathematical symbol has a definite

meaning, representing the result of some function. That the result will

sometimes be unattainable or unrealisable, that especially all operations

with zero make the whole calculation indefinite (which naturally arises

from the nature of zero) does not alter the truth of this proposition in

the least.

We have to make one additional remark. The peculiarity of mathematics

that we do not throughout our operations think out the meaning of the

symbols is not a shortcoming of our intelligence, but the strength of

mathematical science. The advantage of all the formal sciences and

especially of mathematics consists in this that we _need not_ think out

every detail, but that we can, through the assistance of mathematical

symbols, perform the most intricate operations with machine-like

exactness. The economy of thought produced in this way is not a

deficiency of man’s mind, but a virtue.

Prof. H. Höffding (in No. 4) insists upon the causal law as being

indispensable in psychology. There are some people and among others his

colleague Professor Kroman who regard moral motives as an exception.

“Yet,” says Professor Höffding, “should the decisive moment of a decision

not be determined by the causal law, the will could never be determined

through a reflection on the possible effects of the action and thus every

reason would be missing to attribute to man any responsibility.”

E. Grosse expatiates on the proposition to apply the comparative method

of ethnology to æsthetics. Ferd. Rosenberger proposes the following

programme: “Knowledge is power; activity based upon such power is the

cause of happiness. Therefore with the increase of knowledge, there is

an increase of happiness, successful activity however is impossible

without virtue. Therefore we conclude that an increase of happiness will

be accompanied with an increase of virtue.” A. Marty in this his ninth

article blames Steinthal for having misrepresented the eighteenth century

theories of the origin of language.

M. Offner reviews Dr. Charles Richet’s reports of his telepathic

experiments, but the reviewer cannot assent to Richet’s opinion “that

these facts possess a strange coincidence and that they are, probably,

the result of a relation and not of pure chance.” (Leipsic: O. R.

Reisland.)

κρς.

PHILOSOPHISCHE MONATSHEFTE. Vol. XXVIII. Nos. 1 and 2.

The Monist, Vol. 2, 1891-1892 · 第 179 / 390 题