I took pains to explain that, if we disregard the notion of form, every

transformation, that is, every case of causation, will appear as a most

miraculous and inexplicable event. To illustrate my view I said that

“_supposing we had no idea of the laws of form or only an incoherent and

fragmentary knowledge of them_,” it would be “a very wonderful thing”

that two congruent regular tetrahedrons when put together will form a

hexahedron—a body which is something new. And I added to this statement,

“_but the laws of form do perfectly and satisfactorily explain it_.”

How great was my astonishment to see Mr. Peirce with great complacency

take up the problem and explain it! Indeed, it is true. That the

combination of two congruent regular tetrahedrons will make a hexahedron,

is wonderful _only_ to him who does not understand the laws of form.

Otherwise, it is not wonderful. I was amused at Mr. Peirce’s ingenuity to

prove to me that it is a case of 8-2=6.—

There is a difference between the combination of two tetrahedrons and

of the atoms _H₂O_. Mr. Peirce tells me, that the one is ideal, the

other real—“a difference which to his Scotistic mind is very important.”

Did Mr. Peirce think, indeed, that I was not aware of this difference,

or does he mean to establish a rule never to compare the relations as

developed in the sciences of pure forms to the relations that obtain in

reality?—

Says Mr. Peirce in one passage, there is a difference between the ideal

and the real, which to his Scotistic mind is very important. In another

passage he declares that “the nominalist alone makes a sharp distinction

between the abstract and the concrete.”—

Mr. Peirce smiles at the endeavor of reconciling religion with science.

For he thinks:

“It is a thing which will come to pass of itself when time is

ripe, and that our efforts to hasten it have just that slight

effect that our efforts to hasten the ripening of apples on a

tree may have.” (P. 545.)

Mr. Peirce forgets that the religious fruits of the conciliation between

religion and science are our own sentiments. He who says that man should

be indifferent about working out the truth, on the plea that truth will

take care of itself, is comparable to the apple-tree, that refuses to

work out the ripening of the apples. The proposition to let religion and

science work out their destinies, one of which is their mutual agreement,

of themselves, is irreligious and also unscientific. Truth will not take

care of itself if we do not strain all our efforts to find truth; and the

kingdom of heaven will never come unless (as Christ taught, Matt. 11, 12)

“it suffereth violence, and the violent take it by force.”—

The same Mr. Peirce who says that our efforts to hasten the conciliation

of religion with science are useless, believes in miracles and proposes a

theory that prayer can work miracles.—

Several philosophers, such as Locke and Hegel, have complained of the

uselessness of the logical law of identity _A_ = _A_, and also of its

barrenness for any practical purpose. The law of identity has been

invented nevertheless, because there is a want for it; and this want, in

my opinion, was felt because the statement of sameness (as set forth in

_The Monist_, Vol. III, p. 70, et seqq.) is one of the most elementary

and important forms of reasoning, being indispensable, for instance, in

mathematics where it appears as equations. We may simply laugh at the old

logicians

“Who whirl in narrow circling trails,

Like kittens playing with their tails.”

We may impatiently discard the whole proceeding as empty talk, yet

I submit that we had better try to understand the meaning of their

unprofitable exertions and the drift of their apparently meaningless

argumentations. If we regard the principle of absolute identity as the

formula of sameness (in the sense explained in the quoted passage, _The

Monist_, Vol. III, No. 1, p. 70, et seqq.) emptied of its contents we

shall understand why logicians wasted so much energy on an entirely

barren subject. We shall readily condone their mistakes in consideration

of the importance of the subject. It is difficult to say how much we have

profited by their blunders.—

Mr. Peirce uses the terms analytical and synthetical in a new sense for

reasons which he explains at greater length in his “Theory of Probable

Inferences.” He says, “analytical reasoning depends upon associations

of similarity; synthetical reasoning upon associations of contiguity.”

I willingly grant to the scientist and the philosopher the liberty to

change the historical meaning of terms if the traditional usage is

not helpful in our dealings with the facts which they were invented to

describe. However, we must not change a term without good and sufficient

reasons. In the present case, I still prefer the traditional usage of the

terms “analytical” and “synthetic.”—

Mr. Peirce takes the liberty of changing terms for himself, but he

resents it in others.—

Mr. Peirce disapproves of the usage of the word “construction” in the

sense of systems of formal thought, such as the decimal system, etc.,

etc. “Because,” he says, “the word is imperatively required in the

theory of cognition to denote a mathematical diagram framed according to

a general precept.” On the strength of this argument we might as well

disapprove of calling churches, mosques, houses, cottages, or any kind of

edifice, “building,” because the word “building” is imperatively required

to denote business-buildings.—

Mr. Peirce says that according to my statement (in ¶ 163) “every element

of compulsion is to be excluded from the conception of necessity.” Having

never made such a statement, I looked up the passage, which is the last

but one paragraph in _The Monist_, Vol. III, No. 1, page 86, and find

that Mr. Peirce must have misread the sentence, “compulsion excludes

free will, and necessity does not,” which, of course, has an entirely

different meaning.—

Mr. Peirce identifies evolution with real growth, regarding it as opposed

to the law of the conservation of energy. He regards everything as a

product of such growth, or _Erzeugung_, and adds, “I fancy it is this

cautious reflectiveness of my procedure which especially displeases Dr.

Carus.” Mr. Peirce does not use the word “bold.” He says, “cautious

reflectiveness.”—

I did not say that causation is to be explained from the law of the

conservation of matter and energy. I said (_The Monist_, Vol. II, No.

4, p. 566) that the law of the conservation of matter and energy throws

light upon the problem of causation. The law of the conservation of

matter and energy and the law of causation describe the same thing under

two different aspects. If we understand the one, it will help us to

understand the other.—

Kant’s chapter on the Architectonic of Pure Reason is well known to me,

but I think that Kant was possessed of a peculiar love of architectonic

which has contributed not a little to rendering the system of his

philosophy unnecessarily labyrinthine.—

It is surprising to find a man whom I always regarded as a Kant scholar

of first degree saying that “Kant makes space a necessary form of

thought.” Now, as a matter of fact, Kant does not make space a form of

_thought_, but of _Anschauung_ or intuition. We cannot understand Kant

unless we understand this distinction.[139]—

Kant conceives of causation as a necessary sequence. Mill, who objects to

the idea of necessity, replaces Kant’s words “universal” and “necessary”

by “invariable” and “unconditioned,” a substitution which was made with

the outspoken intention of radically changing the meaning of the phrase.

Mill’s terms are _not_ “more exact,” as Mr. Peirce says, but different.

They are worse than less exact to a Kantian, and can appear more exact

only to those who take Mill’s view, which is nominalistic. And this

substitution of Mill’s is regarded by realistic Mr. Peirce as a mere

“rewording of Kant’s definition”!—

Mr. Peirce makes too much of the idea of “_Erzeugung_, which,” as he

correctly says, “is Kant’s word for the sequence of effect from cause.”

Yet Kant’s idea of _Erzeugung_ does not conflict with “the modern

mechanical doctrine.” Kant says in that very same chapter, “_Aller

Wechsel (Succession) der Erscheinungen ist nur Veränderung_,” i. e., “All

change (succession) of phenomena is only transformation.” (!) Does not

Mr. Peirce know that Kant calls every world-conception that stands in

contradiction to the mechanical principle “a philosophy of indolence,” or

“_faule Weltweisheit_”?—

The same Kant who proposed a mechanical explanation of the evolution of

the starry heavens, objected very strongly to that kind of explanations

“which derive all order from chance”; and speaking of Epicurus’s

“absolute chance”(!) he adds: “Epicurus was even so reckless (_so

unverschämt_) as to demand that the atoms should deviate from their

straight course without any cause.” Mr. Peirce has either overlooked in

Kant these passages, or, if he has read them, he has never taken them to

heart.—

Mr. Peirce objects to my statement that according to his philosophy the

domain of mind is characterised by absence of law. He argues: “Is not one

of my papers entitled ‘The Law of Mind?’” Yet this law of mind, he states

two lines further on, “requires its own violation.” (P. 552.)—

The “sporting” of the primeval chance, Mr. Peirce says on page 552

of this number, is “not undetermined and indeterminable,” because

“its ultimate result must be an entire elimination of chance from the

universe.” Shall we understand that the “arbitrary sporting” of the

primeval chaos, with which Mr. Peirce (according to _The Monist_, Vol. I,

No. 2, p. 175) begins his cosmogony, was determined? If absolute chance

is determined, why not call such a philosophy “determined Indeterminism”?

We try hard to understand Mr. Peirce, but sometimes we really have to

give it up.—

Physiology teaches that memory alone changes feeling into consciousness,

but the consciousness of Mr. Peirce’s original Chance is without memory

and habit.—

Chance, a being living and conscious, has, according to Mr. Peirce,

created the world, but the ultimate result of evolution must be an

entire elimination of Chance from the universe. Thus it appears that the

creation of the world is an act of divine suicide. The world-process is a

slow degeneration of God, finally ending in his complete annihilation.

RETROSPECT.

In summing up the result of the whole battle, we find that there is not

a single question on which we have to yield or even modify our position.

Our position remains the same, while Mr. Peirce’s position has become

glaringly untenable. There is one point, however, in which justice

demands that we should recognise that he is right. I should not have

called Hamilton “Mr.,” but “Sir William.” I can, however, assure Mr.

Peirce that this mistake of mine (which in all my allusions to Hamilton

occurs only once) was a mere slip of the pen; it was not ignorance on my

part and still less was it any disregard of the rules of politeness.

We are obliged to reject the favorite ideas of Mr. Peirce, and have only

to add that our esteem for him has not been lessened, in spite of all

disagreements, and notwithstanding the flaws we have detected in his

reasoning. On the contrary, our admiration for him as a dialectitian

has been greatly increased, for, in truth, we have never before seen

propositions so untenable in their nature, so odd and almost bizarre, as

those of “absolute chance,” of “matter as effete mind,” of “feeling as

being the inner aspect of chance,” and of “real growth as opposed to the

conservation of energy,” defended with greater adroitness.

Mr. Peirce is unusually familiar with certain branches of learning, of

which he has made a specialty, and also with general philosophy; but he

has original ideas, and he prizes them too highly. Where he makes no use

of his originality, he does extraordinarily good Work. Thus, most of his

papers on logic, published in sundry magazines, are, in their critical

as well as constructive parts, strictly scientific and almost free from

apocryphal speculations. Only slight hints in them have been a puzzle to

me and other readers of his essays. Of late, however, Mr. Peirce has come

out more explicitly with his peculiar philosophy, and we regret to say

that the more he allows his original ideas to enter into his thoughts,

the more warped are his theories.

While we regard Mr. Peirce’s original ideas as erroneous, we must

say that they are nevertheless highly interesting and stimulating.

His propositions are presented so vigorously, so attractively, so

brilliantly, that while perusing his articles, we find them remarkably

suggestive; we enjoy them as we do poetry. They read like a romance of

the origin of the world or a fairy-tale of metaphysics.

Mr. Peirce’s views should receive the consideration of all earnest

students of philosophy; for he goes to the root of its main problems, and

his very errors are instructive.

EDITOR.

FOOTNOTES:

[125] Kepler’s scheme is, that all the regular solids, icosahedron,

dodecahedron, octohedron, tetrahedron, and cube should be placed one

within the other at such distances that spheres could be described

between them so as to touch the corners of each respective interior and

the planes of each respective exterior solid. He found, by placing the

sun in the centre and allowing the planets to move in great circles on

the spheres, (making the circle between the icosahedron and dodecahedron

equal to the orbit of the earth,) that then the distances between the

planets would, upon the whole, agree with astronomical observations.

This theory is as ingenious, as fascinating, and as original as Mr.

Peirce’s propositions. It has only one little fault; it does not agree

with facts. And Kepler afterwards abandoned his original theory.

[126] Like Mr. Peirce, Kepler had, in his days, too, thought of the

possibility of making the world evolve from chance. When, in 1604, a new

and brilliant fixed star suddenly appeared in Ophiuchos, he took up the

problem of star-evolution. We will let Kepler tell the story in his own

words as it appears in his treatise on the new star:

“Yesterday, while pondering over the problem, I was called to dinner, and

my young wife served the salad. ‘Do you think,’ I asked her, ‘if since

the origin of creation, pewter platters, salad leaves, oil and vinegar,

and also hard-boiled eggs had been flying in a chaotic mixture through

space that _Chance_ would have been able to collect them to-day in a

salad?’ ‘Certainly not in such a good mixture as this is,’ was the reply

of my beautiful wife.”

Kepler rejected the idea that the world could have evolved by chance.

[127] The philosophical articles of the _Century Dictionary_ do not

seem to be free of party spirit. An extraordinary amount of praise is

given to the mediæval realists which, considering the vagaries of their

propositions, they do not deserve. On the other hand, the blame for

the discredit into which scholasticism has fallen is heaped upon the

nominalists.

[128] I said in _Fundamental Problems_, page 142, “The introduction of

the word positivism into philosophy is the merit of M. Auguste Comte.

Although we cannot accept much of M. Comte’s conception of positivism

we gratefully adopt the name.” There are plenty of other passages in

which my usage of the term positivism, as distinguished from the French

positivism, is set forth, so that there could be little danger of being

misunderstood.

[129] My main objection to the term Absolute is to forestall any

hypostatising of a vague abstract notion which can only serve the purpose

of mystification. I suffer the term Absolute in a loose sense when it is

understood that it is used loosely. I do not say, as Mr. Peirce seems

to believe, “absolutely universal” or “absolutely necessary.” The words

universal and necessary are sufficiently significant to me without any

additional emphasis.

Reality is relative throughout. Absolute existences are, if the term is

taken seriously, nonentities; and the expression “The Absolute” for the

whole of existence or for those features of existence which are universal

and necessary is, to say the least, misleading. These are my reasons for

rejecting the Absolute as a philosophical term. There is, of course,

no objection to the term in chemistry, physics, mathematics, and other

sciences, where it has acquired technical meanings.

[130] Mr. Peirce correctly says that the axioms of geometry are now

exploded. This, however, does not overthrow the reliability of formal

mathematics; on the contrary, it places it on a safer basis than that of

unprovable assumptions, which must be taken for granted.

We look upon the whole system of geometry as a _product of mental

operations_. We perform some operations and note what their products are.

We do something and mind the consequences of what we do. The problem

of modern geometry is to invent a method by which we can construct in

the simplest manner possible a straight line and a plane. Euclid still

presupposes the existence of the plane and assumes it to be such that

parallel lines do not meet. When we are able to construct the plane of

Euclidean geometry, we can dispense with the axiom of parallels, for, in

that case, the plane will possess the qualities it has by construction.

We can very well execute other constructions in which parallel lines

possess other qualities, and we shall on the basis of such an altered

plan of operation be able to produce entirely different systems of

geometry.

We must distinguish between the space of our mathematicians and real

space. Experience teaches us that real space has three dimensions

which means that from a given point every other point is determinable

by three magnitudes. We might doubt (although I think there is little

occasion to do so) whether the real space of our experience is truly

three-dimensional, but we cannot doubt that the truths developed in the

one-dimensional system of numbers, in the two-dimensional system of plane

geometry, in the three-dimensional system of solid geometry, and also in

_n_-dimensional systems each in their respective domain are perfectly

reliable, for they are unequivocally determined, they are _eindeutig

bestimmt_. There is no application of the theory of probabilities in a

field where the products are not due to chance but result with certainty.

[131] I wonder why the _Century Dictionary_ does not mention the

scholastic usage of the word _univocus_ as the root of univocal.

Similarly we are not told that the word _incompossibilitas_ is an

invention of the schoolmen. Duns Scotus, Mr. Peirce’s favorite

philosopher, uses the terms _univoce_ and _incompossibilitas_ freely.

[132] We accept in this argument Mr. Peirce’s solutions, which, however,

are his own. A simpler example would have been more appropriate.

[133] The belief in a duality of truth appears quite rational from the

dualistic standpoint of the middle ages, and the arguments of Scotus are

cleverly devised, being based upon the supposition that the fall of man

had changed the entire order of the world, so that the laws of nature

prior to the Fall were different to those which obtain now.

[134] Duns Scotus was a very zealous advocate of ecclesiastical

supremacy, even advising, for instance, the prosecution of the Jews in

order to convert them. It is a strange irony of fate that the author of

the _Fons vitæ_, upon whose authority Scotus so largely depends and from

whom he derived some of his most important ideas was an Israelite. Scotus

did not know that Avicebron was a pseudonym of the Spanish Jew Salomon

ben Gebirol.

[135] I omit here a discussion as to whether or not the conservation

of energy is true or not. I need not mention that the views of our

physicists, such men as Helmholtz, Mach, Maxwell, Tait, and others differ

widely from Mr. Peirce’s presentation of the subject. Mr. Peirce rejects

the law of the conservation of energy, but retains the conservation,

or (as he prefers to say) perduration of matter. I waive the question,

whether this is consistent, and call attention only to another, most

flagrant contradiction. Mr. Peirce states that, “not only the total

amount [of matter] remains constant, but all the different parts preserve

their identity”; and yet he says that “matter is effete mind.” Thus when

mind becomes effete, the amount of matter increases; however, when the

habits of matter are broken up, mind originates, and the amount of matter

decreases. This, it seems, would make any perduration of matter and of

the identity of its different parts impossible.

[136] That my view of the _a priori_, as Mr. Peirce claims, is

“Schleiermacherian” is new to me.

[137] It is a matter of course that frequently several events coöperate

to bring about an effect. In that case we have our choice, either to

speak of several causes, or to treat the coöperation of all of them as

_the_ cause, or to select one of them to be called the cause, while the

others may be counted among the conditions.

The limitation of a system of causation depends entirely upon the purpose

of our inquiry, and we must here, as in many other things, use discretion.

Mr. Peirce concludes, that according to my view of causation we can,

in a relatively uniform motion, such as the flight of a cannon ball,

regard the motion of every moment as the cause for the motion of the

next moment. I say “relatively,” for absolutely uniform motion does not

exist. I grant this, but I do not grant what Mr. Peirce regards as a

contradiction of mine, that in that case the cause would be equal to the

effect. A man who knows the artifices of the hair-splitting Eleates and

the other conundrums of logic, should know that every second of time is

different from every other second; 12 o’clock is different from 1 second

past 12. He who denies this, has only to miss a train in order to be

converted. And how much more different than the moments of time are the

various moments of real motion, for in every moment the moving body is in

another place, with changed relations; and if that does not constitute a

difference, we should have to deny the existence of motion.

[138] See my article on “The Continuity of Evolution” in _The Monist_,

Vol. II, No 1; and also “Monism and Meliorism,” p. 73, where “the

struggle for the ideal” is contrasted with “the struggle for life.”

[139] For details see, in _The Monist_, Vol. II, No. 4, page 518, et

seqq., and 527, et seqq., my articles, “Mr. Spencer on the Ethics of

Kant,” heading iv, and “What Does Anschauung Mean?”

I now forgive Mr. Spencer; for if a Kant scholar like Mr. Peirce can

fall into this unpardonable mistake, why should not Mr. Spencer, whose

knowledge of Kant’s writings is, as he confesses himself, extremely

limited, have the same privilege?

THE FOUNDATIONS OF THEISM.

I. THE REALISM OF THEISM.

It is commonly alleged that there is deeply seated in the human mind

a belief in the existence of a supreme being, and that the prevalence

of such belief is evidence that it has a basis in supernatural

revelation. It is urged in reply to this assertion, that this belief

is not universal, and that in any case its presence cannot be regarded

as satisfactory evidence that is well founded. It is known that the

disposition to worship is aroused by grand and beautiful objects; and as

Darwin well remarks in one of his letters, the natural sentiments of the

sublime and the beautiful easily assume a personal direction. Scientific

explanations, moreover, push a personal source of things ever further

from us, and it is becoming apparently more easy to doubt or deny any

such source whatever.

The Monist, Vol. 3, 1892-1893 · 第 61 / 65 段