This singular delusion may have been partly due to errors of

observation, the instruments and methods of former times having been

notably crude and unreliable. This fact, taken in connection with the

wild theories upon which the natural sciences of the middle ages were

based, is a sufficient explanation of some of the extraordinary

statements made by Kircher, Schott, Digby, and others.

By palingenesy these writers meant a certain chemical process by means

of which a plant or an animal might be revived from its ashes. In other

words a sort of material resurrection. Most of the accounts given by the

old authors go no further than to assert that by proper methods the

ashes of plants, when treated with water, produce small forests of ferns

and pines. Thus, an English chemist, named Coxe, asserts that having

extracted and dissolved the essential salts of fern, and then filtered

the liquor, he observed, after leaving it at rest for five or six weeks,

a vegetation of small ferns adhering to the bottom of the vessel. The

same chemist, having mixed northern potash with an equal quantity of sal

ammoniac, saw, some time after, a small forest of pines and other trees,

with which he was not acquainted, rising from the bottom of the vessel.

And Kircher tells us in his "Ars Magnetica" that he had a long-necked

phial, hermetically sealed, containing the ashes of a plant which he

could revive at pleasure by means of heat; and that he showed this

wonderful phenomenon to Christina, Queen of Sweden, who was highly

delighted with it. Unfortunately he left this valuable curiosity one

cold day in his window and it was entirely destroyed by the frost.

Father Schott also asserts that he saw this chemical wonder which,

according to his account, was a rose revived from its ashes. And he adds

that a certain prince having requested Kircher to make him one of the

same kind, he chose rather to give up his own than to repeat the

operation.

Even the celebrated Boyle, though not very favorable to palingenesy,

relates that having dissolved in water some verdigris, which, as is well

known, is produced by combining copper with the acid of vinegar, and

having caused this water to congeal, by means of artificial cold, he

observed, at the surface of the ice, small figures which had an exact

resemblance to vines.

In this connection it is well to bear in mind that in Boyle's time

almost all vinegar was really what its name implies--_sour wine_ (_vin

aigre_)--and verdigris or copper acetate was generally prepared by

exposing copper plates to the action of refuse grapes which had been

allowed to ferment and become sour. Therefore to him it might not have

seemed so very improbable that the green crystals which appeared on the

surface of the ice were, in reality, minute resuscitated grape-vines.

The explanation of these facts given by Father Kircher is worthy of the

science of the times. He tells us that the seminal virtue of each

mixture is contained in its salts and these salts, unalterable by their

nature, when put in motion by heat, rise in the vessel through the

liquor in which they are diffused. Being then at liberty to arrange

themselves at pleasure, they place themselves in that order in which

they would be placed by the effect of vegetation, or the same as they

occupied before the body to which they belonged had been decomposed by

the fire; in short, they form a plant, or the phantom of a plant, which

has a perfect resemblance to the one destroyed.

That the operators have here mistaken for true vegetable growth the

fern-like crystals of the salts which exist in the ashes of all plants

is very obvious. Their knowledge of plant structure was exceedingly

limited and their microscopes were so imperfect that imagination had

free scope. As seen under our modern microscopes, there are few prettier

sights than the crystallization of such salts as sal ammoniac, potassic

nitrate, barium chloride, etc. The crystals are actually seen to grow

and it would not require a very great stretch of the imagination to

convince one that the growth is due to a living organism. Indeed, this

view has actually been taken in an article which recently appeared in a

prominent magazine. The writer of that article sees no difference

between the mere aggregation of inorganic particles brought together by

voltaic action and the building up of vital structures under the

influence of organic forces. This is simply materialism run mad.

Perhaps the finest illustration of such crystallization is to be found

in the deposition of silver from a solution of the nitrate as seen under

the microscope. A drop of the solution is placed on a glass slide and

while the observer watches it through a low power, a piece of copper

wire or, preferably, a minute quantity of the amalgam of tin and

mercury, such as is used for "silvering" cheap looking glasses, is

brought into contact with it. Chemical decomposition at once sets in and

then the silver thus deposited forms one element of a very minute

voltaic couple and fresh crystals of silver are deposited upon the

silver already thrown down. When the illumination of this object under

the microscope is properly managed, the appearance, which resembles that

shown in Fig. 18, is exceedingly brilliant, and beautiful beyond

description.

[Illustration: Fig. 18.]

That imagination played strange pranks in the observations of the older

microscopists is shown by some of the engravings found in their books. I

have now before me a thick, dumpy quarto in which the so-called seminal

animalcules are depicted as little men and women, and I have no doubt

that, to the eye of this early observer, they had that appearance. But

the microscopists of to-day know better.

Sir Kenelm Digby, whose name is associated with the Sympathetic Powder,

tells us that he took the ashes of burnt crabs, dissolved them in water

and, after subjecting the whole to a tedious process, small crabs were

produced in the liquor. These were nourished with blood from the ox,

and, after a time, left to themselves in some stream where they throve

and grew large.

Now, although Evelyn, in his diary, declares that "Sir Kenelm was an

errant mountebank," it is quite possible that he was honest in his

account of his experiments and that he was merely led astray by the

imperfection of his instruments of observation. It is more than likely

that the creatures which Digby saw were entomostraca introduced in the

form of ova which, unless a good microscope be used, are quite

invisible. These would develop rapidly and might easily be mistaken for

some species of crab, though, when examined with proper instruments, all

resemblance vanishes. When let loose in a running stream it would

evidently be impossible to trace their identity and follow their growth.

But while some of these stories may have originated in errors of

observation this will hardly explain some of the statements made by

those who have advocated this strange doctrine. Father Schott, in his

"Physica Curiosa," gives an account of the resurrection of a sparrow and

actually gives an engraving in which the bird is shown in a bottle

revived!

Although the subject, of itself, is not worthy of a moment's

consideration, it deserves attention as an illustration of the

extraordinary vagaries into which the human mind is liable to fall.

THE POWDER OF SYMPATHY

This curious occult method of curing wounds is indissolubly associated

with the name of Sir Kenelm Digby (born 1603, died 1665), though it was

undoubtedly in use long before his time. He himself tells us that he

learned to make and apply the drug from a Carmelite, who had traveled in

the east, and whom he met in Florence, in 1622. The descendants of Digby

are still prominent in England, and O. W. Holmes, in his "One Hundred

Days in Europe," tells us that he had met a Sir Kenelm Digby, a

descendant of the famous Sir Kenelm of the seventeenth century, and that

he could hardly refrain from asking him if he had any of his ancestor's

famous powder in his pocket.

Digby was a student of chemistry, or at least of the chemistry of those

days, and wrote books of Recipes and the making of "Methington

[metheglin or mead?] Syder, etc." He was, as we have seen in the

previous article, a believer in palingenesy and made experiments with a

view to substantiate that strange doctrine. Evelyn calls him an "errant

quack," and he may have been given to quackery, but then the loose

scientific ideas of those days allowed a wide range in drawing

conclusions which, though they seem absurd to us, may have appeared to

be quite reasonable to the men of that time.

From his book on the subject,[3] we learn that the wound was never to

be brought into contact with the powder. A bandage was to be taken from

the wound, immersed in the powder, and kept there until the wound

healed.

This beats the absent treatment of Christian Science!

The powder was simply pulverized vitriol, that is, ferric sulphate, or

sulphate of iron.

There was another and probably an older method of using sympathetic

powders and salves; this was to apply the supposed curative to the

weapon which caused the wound, instead of the wound itself. In the "Lay

of the Last Minstrel," Scott gives an account of the way in which the

Lady of Buccleuch applied this occult surgery to the wound of William of

Deloraine:

"She drew the splinter from the wound,

And with a charm she stanched the blood.

She bade the gash be cleansed and bound:

No longer by his couch she stood;

But she has ta'en the broken lance.

And washed it from the clotted gore,

And salved the splinter o'er and o'er.

William of Deloraine, in trance,

Whene'er she turned it round and round

Twisted as if she galled his wound.

Then to her maidens she did say,

That he should be whole man and sound,

Within the course of a night and day.

Full long she toiled, for she did rue

Mishap to friend so stout and true."[4]

That no direct benefit could have been derived from such a mode of

treatment must be obvious, but De Morgan very plausibly claims that in

the then state of surgical and medical knowledge, it was really the very

best that could have been adopted. His argument is as follows: "The

sympathetic powder was that which cured by anointing the weapon with its

salve instead of the wound. I have been long convinced that it was

efficacious. The directions were to keep the wound clean and cool, and

to take care of diet, rubbing the salve on the knife or sword. If we

remember the dreadful notions upon drugs which prevailed, both as to

quantity and quality, we shall readily see that any way of _not_

dressing the wound, would have been useful. If the physicians had taken

the hint, had been careful of diet, etc., and had poured the little

barrels of medicine down the throat of a practicable doll, _they_ would

have had their magical cures as well as the surgeons. Matters are much

improved now; the quantity of medicine given, even by orthodox

physicians, would have been called infinitesimal by their professional

ancestors. Accordingly, the College of Physicians has a right to abandon

its motto, which is, _Ars longa, vita brevis_, meaning, _Practice is

long, so life is short_."

As set forth by Digby and others, the use of the Powder of Sympathy is

free from all taint of witchcraft or magic, but, in another form, it was

wholly dependent upon incantations and other magical performances. This

idea of sympathetic action was even carried so far as to lead to

attempts to destroy or injure those whom the operator disliked. In some

cases this was done by moulding an image in wax which, when formed under

proper occult influences, was supposed to have the power of transferring

to the victim any injuries inflicted on the image. Into such images pins

and knives were thrust in the hope that the living original would suffer

the same pains and mutilations that would be inflicted if the knives or

pins were thrust into him, and sometimes the waxen form was held before

the fire and allowed to melt away slowly in the hope that the prototype

would also waste away, and ultimately die. Shakespeare alludes to this

in the play of King John. In Act v., Scene 4, line 24, Melun says:

"A quantity of life

Which bleeds away, even as a form of wax,

Resolveth from his figure 'gainst the fire?"

And Hollinshed tells us that "it was alleged against Dame Eleanor Cobham

and her confederates that they had devised an image of wax, representing

the king, which, by their sorcerie, by little and little consumed,

intending thereby, in conclusion, to waste and destroy the king's

person."

In these cases, however, the operator always depended upon certain

occult or demoniacal influences, or, in other words, upon the art of

magic, and therefore examples of this kind do not come within the scope

of the present volume. In the case of the Powder of Sympathy the results

were supposed to be due entirely to natural causes.

FOOTNOTES:

[3] Touching the Cure of Wounds by the Powder of Sympathy. With

Instructions how to make the said Powder. Rendered faithfully out of

French into English by R. White, Gent. London, 1658.

[4] Canto III. Stanza 23.

A SMALL BUDGET OF PARADOXES, ILLUSIONS, AND MARVELS

THE FOURTH DIMENSION AND THE POSSIBILITY OF A NEW SENSE AND NEW

SENSE-ORGAN

This subject has now found its way not only into semi-scientific works

but into our general literature and magazines. Even our novel-writers

have used suggestions from this hypothesis as part of the machinery of

their plots so that it properly finds a place amongst the subjects

discussed in this volume.

Various attempts have been made to explain what is meant by "the fourth

dimension," but it would seem that thus far the explanations which have

been offered are, to most minds, vague and incomprehensible, this latter

condition arising from the fact that the ordinary mind is utterly unable

to conceive of any such thing as a dimension which cannot be defined in

terms of the three with which we are already familiar. And I confess at

the start that I labor under the superlative difficulty of not being

able to form any conception of a fourth dimension, and for this

incapacity my only consolation is, that in this respect I am not alone.

I have conversed upon the subject with many able mathematicians and

physicists, and in every case I found that they were in the same

predicament as myself, and where I have met men who professed to think

it easy to form a conception of a fourth dimension, I have found their

ideas, not only in regard to the new hypothesis, but to its

correlations with generally accepted physical facts, to be nebulous and

inaccurate.

It does not follow, however, that because myself and some others cannot

form such a clear conception of a fourth dimension as we can of the

third, that, therefore, the theory is erroneous and the alleged

conditions non-existent. Some minds of great power and acuteness have

been incapable of mastering certain branches of science. Thus Diderot,

who was associated with d'Alembert, the famous mathematician, in the

production of "L'Encyclopedie," and who was not only a man of

acknowledged ability, but who, at one time, taught mathematics and wrote

upon several mathematical subjects, seems to have been unable to master

the elements of algebra. The following anecdote regarding his deficiency

in this respect is given by Thiebault and indorsed by Professor De

Morgan: At the invitation of the Empress, Catherine II, Diderot paid a

visit to the Russian court. He was a brilliant conversationalist and

being quite free with his opinions, he gave the younger members of the

court circle a good deal of lively atheism. The Empress herself was very

much amused, but some of her councillors suggested that it might be

desirable to check these expositions of strange doctrines. As Catherine

did not like to put a direct muzzle on her guest's tongue, the following

plot was contrived. Diderot was informed that a learned mathematician

was in possession of an algebraical demonstration of the existence of

God and would give it to him before all the court if he desired to hear

it. Diderot gladly consented, and although the name of the mathematician

is not given, it is well known to have been Euler. He advanced toward

Diderot, and said in French, gravely, and in a tone of perfect

conviction: "_Monsieur, (a + b^n) / n = x, therefore, God exists;

reply!_" Diderot, to whom algebra was Hebrew, was embarrassed and

disconcerted, while peals of laughter rose on all sides. He asked

permission to return to France at once, which was granted.

Even such a mind as that of Buckle, who was generally acknowledged to be

a keen-sighted thinker, could not form any idea of a geometrical

line--that is, of a line without breadth or thickness, a conception

which has been grasped clearly and accurately by thousands of

school-boys. He therefore asserts, positively, that there are no lines

without breadth, and comes to the following extraordinary conclusions:

"Since, however, the breadth of the faintest line is so slight as to

be incapable of measurement, except by an instrument under the

microscope, it follows that the assumption that there can be lines

without breadth is so nearly true that our senses, when unassisted

by art, can not detect the error. Formerly, and until the invention

of the micrometer, in the seventeenth century, it was impossible to

detect it at all. Hence, the conclusions of the geometrician

approximate so closely to truth that we are justified in accepting

them as true. The flaw is too minute to be perceived. But that there

is a flaw appears to me certain. It appears certain that, whenever

something is kept back in the premises, something must be wanting in

the conclusion. In all such cases, the field of inquiry has not been

entirely covered; and part of the preliminary facts being

suppressed, it must, I think, be admitted that complete truth be

unattainable, and that no problem in geometry has been exhaustively

solved."[5]

The fallacy which underlies Mr. Buckle's contention is thus clearly

exposed by the author of "The Natural History of Hell."

"If it be conceded that lines have breadth, then all we have to do

is to assign some definite breadth to each line--say the

one-thousandth of an inch--and allow for it. But the lines of the

geometer have no breadth. All the micrometers of which Mr. Buckle

speaks depend, either directly or indirectly, upon lines for their

graduations, and the positions of these lines are indicated by

rulings or scratches. Now, in even the finest of these rulings, as,

for example, those of Nobert or Fasoldt, where the ruling or

scratching, together with its accompanying space, amounts to no more

than the one hundred and fifty thousandth part of an inch, the

scratch has a perceptible breadth. But this broad scratch is not the

line recognized by the microscopist, to say nothing of the geometer.

The true line is a line which lies in the very center of this

scratch and it is certain that this central line has absolutely no

breadth at all."[6]

It must be very evident that if Mr. Buckle's contention that geometrical

lines have breadth were true, then some of the fundamental axioms of

geometry must be false. It could no longer hold true that "the whole is

equal to all its parts taken together," for if we divide a square or a

circle into two parts by means of a line which has breadth, the two

parts cannot be equal to the whole as it formerly was. As a matter of

fact, Mr. Buckle's lines are saw-cuts, not geometrical lines.

Geometrical points, lines, and surfaces, have no material existence and

can have none. An ideal conception and a material existence are two very

different things.

A very interesting book[7] has been written on the movements and

feelings of the inhabitants of a world of two dimensions. Nevertheless,

if we know anything at all, we know that such a world could not have any

actual existence and when we attempt to form any mental conception of

it and its inhabitants, we are compelled to adopt, to a certain extent,

the idea of the third dimension.

But at the same time we must remember that since the ordinary mechanic

and the school-boy who has studied geometry, find no difficulty in

conceiving of points without magnitude, lines without breadth, and

surfaces without thickness--conceptions which seem to have been

impossible to Buckle, a man of acknowledged ability--it may be possible

that minds constituted slightly differently from that of myself and some

others, might, perhaps, be able to form a conception of a fourth

dimension.

Leaving out of consideration the speculations of those who have woven

this idea into romances and day-dreams we find that the hypothesis of a

fourth dimension has been presented by two very different classes of

thinkers, and the discussion has been carried on from two very different

standpoints.

The first suggestion of this hypothesis seems to have come from Kant and

Gauss and to have had a purely metaphysical origin, for, although

attempts have been made to trace the idea back to the famous phantoms of

Plato, it is evident that the ideas then advanced had nothing in common

with the modern theory of the existence of a fourth dimension. The first

hint seems to have been a purely mathematical one and did not attract

any very general attention. It was, however, seized upon by a certain

branch of the transcendentalists, closely allied to the spiritualists,

and was exploited by them as a possible explanation of some curious and

mysterious phenomena and feats exhibited by certain Indian and European

devotees. This may have been done merely for the purpose of mystifying

and confounding their adversaries by bringing forward a striking

illustration of Hamlet's famous dictum--

"There are more things in heaven and earth, Horatio,

Than are dreamt of in your philosophy."

A very fair statement of this view is thus given by Edward Carpenter:[8]

"There is another idea which modern science has been familiarizing

us with, and which is bringing us towards the same conception--that,

namely, of the fourth dimension. The supposition that the actual

world has four space-dimensions instead of three makes many things

conceivable which otherwise would be incredible. It makes it

conceivable that apparently separate objects, e. g., distinct

people, are really physically united; that things apparently

sundered by enormous distances of space are really quite together;

that a person or other object might pass in and out of a closed room

without disturbance of walls, doors or windows, etc., and if this

fourth dimension were to become a factor of our consciousness it is

obvious that we should have means of knowledge which, to the

ordinary sense, would appear simply miraculous. There is much,

apparently, to suggest that the consciousness attained to by the

Indian gnanis in their degree, and by hypnotic subjects in theirs,

is of this fourth dimensional order.

"As a solid is related to its own surface, so, it would appear, is

the cosmic consciousness related to the ordinary consciousness. The

phases of the personal consciousness are but different facets of the

other consciousness; and experiences which seem remote from each

other in the individual are perhaps all equally near in the

universal. Space itself, as we know it, may be practically

annihilated in the consciousness of a larger space, of which it is

but the superficies; and a person living in London may not unlikely

find that he has a back door opening quite simply and

unceremoniously out in Bombay."

On the other hand, the mathematicians, looking at it as a purely

speculative idea, have endeavored to arrive at definite conclusions in

regard to what would be the condition of things if the universe really

exists in a fourth, or even in some higher dimension. Professor W. W. R.

Ball tells us that

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