The Greeks considered the even numbers as representative of the

feminine principle, and as belonging and applying to things

terrestrial. To them the odd numbers were endowed with a masculine

virtue, which in time was strengthened into supernatural and celestial

qualities. The same belief was prevalent among the Chinese. With them

even numbers were connected with earthly things, partaking of the

feminine principle of Yang. Odd numbers were looked upon as proceeding

out of the divine and endued with the masculine principle. Thirty was

called the number of earth, because it was made up by the addition of

the even numbers 2, 4, 6, 8, and 10. On the other hand, 25, the sum of

the five odd numbers 1, 3, 5, 7, and 9, was called the number of

heaven.

It is generally true that, as lower peoples developed the need of

numbers and the power to use them, certain of these numbers came to be

surrounded with a superstitious importance and endued with certain

qualities which led at once to numerical preferences more or less

dominant in all their thinking connected with numbers.

It would certainly be unjustifiable to conclude from the evidence at

hand that the preferences shown in the guesses under consideration are

directly traceable to some such superstition; and yet one can scarcely

prevent himself from linking them vaguely together. Especially is this

true when some consideration is given to a probable connecting link as

shown in our modern superstitious notions. I have found through a

recent study of these superstitions that where numbers are introduced,

the odd are used to the almost complete exclusion of the even. For

example, I have collected and tabulated a series of more than sixty

different superstitions using odd numbers, and have found but four

making use of the even. Besides these specific examples there are many

more which in some form or another express the belief that odd numbers

have some vital relation with luck both good and bad.

It would be impossible to define precisely or even approximately just

what sort of a mental state the word "luck" stands for, but one

element in its composition is a more or less naïve belief in

supernatural and occult influences which at one time work for and at

another time against the believer. In its more pronounced forms, the

belief in luck lifts itself into a sort of a blind dependence upon

some ministering spirit which interposes between rational causes and

their effects. In a way one may say that the more or less vague and

shadowy notions of luck which float in the minds of people to-day are

but the emaciated and famishing forms of a once all-embracing

superstition, and that these shadows possess a potency over life and

action oftentimes beyond our willingness to believe.

There is another interesting and somewhat curious thing to be noticed

in connection with these guesses. There is a persistent tendency to

the duplication of digits, or, if one thinks of the numbers as at

first conceived in terms of language, a tendency to alliteration. For

example, the numbers 111, 222, 333, 444, 555, 666, 777, 888, and 999

occur oftener by sixty-seven per cent than any other combination

possible in the tens thus represented. That is to say, other things

equal, one would have a right to expect 334 or 332 to occur as often

as 333. But the fact is, in this particular case, 333 occurred

forty-eight times, while the other two put together occurred only

three times. Here, however, we have the combined influence of the

preference for the odd over the even and the digital sequence. Still,

if we select 444, we find that this number, made up though it is of

three digits in general least selected of all, the preference for

alliterative effect is strong enough to make the number occur 28 times

to 14 times for both 443 and 445. If we take 777, we find that it was

used more times than all the other combinations from 770 to 779

inclusive, put together.

Therefore, under conditions similar to those presented for these

guesses, one would be safe to expect these duplicative or alliterative

numbers to occur much oftener than any other single number in the

series.

It would evidently be unsafe to generalize upon the basis of this

study, notwithstanding the large number of guesses considered.

However, it seems to me that the results here obtained at least

suggest a field of inquiry which promises interesting returns. If it

be true, as here suggested, that odd numbers are preferred by

guessers, advantage could be taken of this preference in many ways.

Furthermore, as I suspect, it may be that this probable preference

points to a habit of mind which more or less influences results not

depending strictly on guessing. It has been shown, for example, that

the length of criminal sentences has been largely affected by

preferences for 5 or multiples of 5--that is to say, where judges have

power to fix the length of sentence within certain limits, there is a

strong probability that they will be influenced in their judgments by

the habitual use of 5 or its multiples. Here it would seem that

unconscious preference overrides what one has a right to consider the

most careful and impartial judgments possible, based upon actual and

well-digested data.[12]

Another thing is noticeable in these guesses. The consciousness of

number beyond 1,000 falls off very rapidly. The difference in the

values of 1,000 and 1,500 seems to have had less weight with the

guessers than a difference of 50 had at any place below 1,000. And so,

in a way, 1,000 seems to mark the limit of any sort of definite mental

measurement. This fact is more and more emphasized as the numbers

representing the guesses increase until one can see there exists

absolutely no conception of the value of numbers. For example, many

guessed 1,000,000, while several guessed more than 10,000,000.

Guessing means, with many people, no attempt at any sort of reasonable

measurement, but rather an attempt to express their guess in such a

way as to afford them the greatest amount of mental relief. And this

relief can not be wholly accomplished without satisfying number

preferences. Therefore, guessing is likely to exhibit, in a greater or

less degree, some habitual lines of preference subject to

predetermination. It may be that much practical advantage has been

taken of these facts in games of chance where number selections play

an important part.

FOOTNOTE:

[12] See H. Le Poer. Influence of Number in Criminal Sentences.

Harper's Weekly, May 14, 1896.

CONCERNING WEASELS.

BY WILLIAM E. CRAM.

[Illustration: A Weasel standing on the ground]

Why is it that while popular fancy has attributed all sorts of uncanny

and supernatural qualities to owls and cats, and that no ghost story

or tale of horrid murder has been considered quite complete without

its rat peering from some dark corner, or spider with expanded legs

suddenly spinning down from among the rafters, no such grewsome

association has ever attached itself to the weasels, creatures whose

every habit and characteristic would seem to suggest something of the

sort? Now, fond as I am of cats, I should never think of denying that

they are uncanny creatures, to say the least. But, suppose it was the

custom of our domestic tabbies to vanish abruptly or even gradually on

occasion, like the Cheshire cat after its interview with Alice, that

would at least furnish some excuse for the general prejudice against

them, but would really be no more than some of our commonest weasels

do whenever it serves their purpose. I remember one summer afternoon I

was trout-fishing along a little brook that ran between pine-covered

hills. As I lay stretched on the bank at the foot of a great maple I

saw a weasel run along in the brush fence some distance away. A few

seconds later he was standing on the exposed root of the tree hardly a

yard from my eyes. I lay motionless and examined the beautiful

creature minutely, till suddenly I found myself staring at the smooth

greenish-gray root of the maple with no weasel in sight. Judging from

my own experience, I should say that this is the usual termination of

any chance observations of either weasels or minks.

Occasionally they may be seen to dart into the bushes or behind some

log or projecting bank, but much more frequently they vanish with a

suddenness that defies the keenest eyesight.

[Illustration: A weasel lying on a branch]

In all probability this vanishing is accomplished by extreme rapidity

of motion, but if this is the case then the creature succeeds in doing

something utterly impossible to any other warm-blooded animal of its

size. Mice, squirrels, and some of the smaller birds are all of them

swift enough at times, but except in the case of the humming bird none

of them, I believe, succeed in accomplishing the result achieved by

the weasels. The humming bird, in spite of its small size, leaves us a

pretty definite impression of the direction it has taken when it darts

away; but when a mink, half a yard in length and weighing several

pounds, stands motionless before one with his dark coat conspicuous

against almost any background, and the next instant is gone without a

rustle or the tremor of a blade of grass, it leaves one with an

impression of witchcraft difficult to dispel; and best appreciated

when one sees it for one's self. Nor is the everyday life of the

weasel quiet or commonplace; his one object in life apparently is to

kill, first to appease his hunger, then to satisfy his thirst for warm

blood, and after that for the mere joy of killing.

[Illustration: A white weasel]

The few opportunities I have had for observing these animals have

never shown them occupied in any other way, nor can any hint of

anything different be gained from the various writers on the subject,

while accounts of their attacking and even killing human beings in a

kind of blind fury are too numerous and apparently well authenticated

to be entirely ignored. These attacks are said usually to be made by a

number of weasels acting in concert, and the motive would appear to be

revenge for some injury done to one of their number. There seems to be

something peculiar about the entire family of weasels. The American

sable or pine marten is said to have strange ways that have puzzled

naturalists and hunters for years. In the wilderness no amount of

trapping has any effect on their numbers, nor do they show any

especial fear of man or his works, occasionally even coming into

lumber camps at night and being especially fond of old logging roads

and woods that have been swept by fire; but at the slightest hint of

approaching civilization they disappear, not gradually, but at once

and forever, and the woods know them no more. If there is anything in

the theory of the survival of the fittest, why is it that not one

marten has discovered that, like other animals of its size, it could

manage to live comfortably enough in the vicinity of man? The mink and

otter still follow the course of every brook and river and manage to

avoid the keen eyes of the duck hunter, while for six months in the

year their paths are sprinkled with steel traps set either especially

for them or for the more plebeian muskrat. If a pair of sables could

be persuaded to take up their quarters in some parts of New England

they could travel for dozens of miles through dark evergreen woods

with hollow and decaying trees in abundance, while at present there

are almost no traps set in a manner that need disturb creatures of

their habits. Partridges, rabbits, and squirrels, which form their

principal food, are nearly if not quite as abundant as before the

country was settled, so that it would certainly not require any very

decided change of habits to enable them to exist, but evidently the

root of the matter goes deeper than that, and, like some tribes of

Indians, it is impossible for them to multiply or flourish except in

the primeval forest.

[Illustration: A weasel on the ground]

The common weasel or ermine, which is the only kind I have seen

hereabouts, would seem to have everything on its side in the struggle

for existence, and when one happens to be killed by some larger

inhabitant of the woods it must be due entirely to its own

carelessness. Nevertheless, they do occasionally fall victims to owls

and foxes, and I once shot a red-tailed hawk that was in the act of

devouring one. Still, these casualties among weasels are probably few

and far between. Fortunately, however, they never increase to any

great extent. Occasionally in the winter the snow for miles will be

covered with their tracks all made in a single night, and then for

weeks not a track is to be seen; but usually they prefer to hunt

alone, each having its beat a mile or more in length, over which it

travels back and forth throughout the season, passing any given point

at intervals of two or three days. This habit of keeping to the same

route instead of wandering at random about the woods is

characteristic of the family, the length of the route depending to a

certain extent on the size of the animal. The mink is usually about a

week in going his rounds, and may cover a dozen miles in that time,

while the otter is generally gone a fortnight or three weeks. When it

is possible the ermine prefers to follow the course of old tumble-down

stone walls, and lays its course accordingly. In favorable districts

he is able to keep to these for miles together, squeezing into the

smallest crevices in pursuit of mice or chipmunks. All the weasels

travel in a similar manner--that is, by a series of leaps or bounds in

such a way that the hind feet strike exactly in the prints made by the

fore paws, so that the tracks left in the snow are peculiar and bear a

strong family resemblance. On soft snow the slender body of the ermine

leaves its imprint extending from one pair of footprints to the next,

and as these are from four to six feet apart, or even more, the

impression left in the snow is like the track of some extremely long

and slender serpent with pairs of short legs at intervals along its

body. I have said that the ermine is the only true weasel I have found

in this vicinity, but this is not strictly true, at least I hope not.

One winter I repeatedly noticed the tracks of an exceedingly large

weasel--so very large, in fact, that I was almost forced to believe

them to be those of a mink. The impression of its body in the snow was

quite as large as that made by a small mink, but the footprints

themselves were smaller, and the creature appeared to avoid the water

in a manner quite at variance with the well-known habits of its more

amphibious cousin, while, unlike the common weasel, it never followed

stone walls or fences. I put my entire mind to the capture of the

little beast, and set dozens of traps, but it was well along in the

month of March before I succeeded. It proved to be a typical specimen

of the Western long-tailed weasel, though I can find no account of any

other having been taken east of the Mississippi. Its entire length was

about eighteen inches; the tail, which was a little over six, gave the

effect at first glance of being tipped with gray instead of black, but

a closer inspection showed that the black hairs were confined to the

very extremity and were partly concealed by the overlying white ones;

the rest of the fur was white, with a slight reddish tinge, and much

longer and coarser than that of an ermine. Since then I have

occasionally seen similar tracks, but have not succeeded in capturing

a second specimen. In all probability the least weasel is also to be

found here if one has the patience to search carefully enough; none,

however, have come under my observation as yet. All the small weasels

that I have seen have proved on close inspection to be young ermines

with thickly furred black-tipped tails; in the least weasel the tail

is thinly covered with short hair and without any black whatever. Late

in the autumn or early in the winter the ermine changes from

reddish-brown to white, sometimes slightly washed with greenish-yellow

or cream color, and again as brilliantly white as anything in Nature

or art; the end of the tail, however, remains intensely black, and at

first thought might be supposed to make the animal conspicuous on the

white background of snow, but in reality has just the opposite effect.

Place an ermine on new-fallen snow in such a way that it casts no

shadow, and you will find that the black point holds your eye in spite

of yourself, and that at a little distance it is quite impossible to

follow the outline of the weasel itself. Cover the tail with snow, and

you can begin to make out the position of the rest of the animal, but

as long as the tip of the tail is in sight you see that and that only.

The ptarmigan and northern hare also retain some spot or point of dark

color when they take on their winter dress, and these dark points

undoubtedly serve the same purpose as in the case of the ermine.

[Illustration: A weasel catching a bird]

An old hunter, one of the closest observers of Nature I have ever

known, once told me that female minks hibernated in winter in the same

manner as bears, though it was his belief that, unlike the bears, they

never brought forth their young at that season. At first I refused to

take the slightest stock in what he said; the whole thing appeared so

absurd and so utterly at variance with the teachings of those

naturalists who have made the closest possible study of the habits of

minks. Since then, however, I have kept my eyes open for any hint that

might have the slightest bearing on the subject, and to my surprise

have found many things that would seem to point to the correctness of

the old hunter's theory. To begin with, he said that late in the

winter he had repeatedly known female minks to make their appearance

from beneath snow that had lain undisturbed for days or even weeks,

the tracks apparently beginning where he first observed them, the

difference in size between the two sexes being sufficient to make it

easy to distinguish between their tracks at a glance; and, moreover,

since he first began trapping he had noticed that while the sexes were

about equally abundant in the autumn, the females always became very

scarce at the approach of winter and remained so until spring, when

they suddenly increased in numbers and became much the more abundant

of the two.

[Illustration: A weasel on a log]

This is also the experience of trappers in general, and may be

verified by any one who cares to take the trouble to look into the

matter. Evidently no one has ever discovered a mink in a state of

hibernation; at any rate, no such case appears ever to have been

reported; but this does not necessarily prove that it is not a regular

habit among them.

The cry of the mink is seldom heard, even in places where they are

fairly abundant, as they have evidently learned that the greatest

safety lies in silence. It is a peculiarly shrill, rattling,

whistlelike scream, that can be heard at a considerable distance.

CARE OF THE THROAT AND EAR.

BY W. SCHEPPEGRELL, A. M., M. D.,

PRESIDENT WESTERN OPTHALMOLOGIC AND OTO-LARYNGOLOGIC ASSOCIATION, NEW

ORLEANS, LA.

Hygiene is that branch of medical science which relates to the

preservation and improvement of the health. As the prevention of

disease is more important than its cure--in fact, superior to all

methods for its cure--this is a subject which demands our most earnest

attention. Hygiene is not limited to the preservation and improvement

of the health of the individual, but includes that of whole

communities. As, however, the health of a community depends upon the

state of the health of the various families composing it, and this

again of its members, the proper understanding of the hygienic laws by

each individual is of the utmost importance.

For some reason, however, the subject of hygiene or the prevention of

disease does not create the enthusiasm caused by methods advocated for

its cure. A Koch, who publishes to the world a supposed means of

curing tuberculosis, or a Behring, who introduces the serum therapy of

diphtheria, arouses an interest which is limited only by the four

corners of the world. The modest worker in sanitation, however, who

explains the means of the development of these diseases, and the

conditions and laws by means of which they may be prevented, is looked

upon without interest and frequently with disfavor. But in spite of

these conditions, the laws of hygiene are gradually becoming more

farspread, and their influence is felt more with each advancing year.

The nose, throat, and ear are so intimately connected with the other

parts of the body that their health depends to a large extent upon the

condition of the system in general. The laws of hygiene and their

application which refer to the body in general are also applicable to

these parts, and whatever condition benefits the former will have a

useful influence on the upper respiratory passages, and, inversely,

any injurious effect will injure the health of these organs.

The physiology of this region is of much importance. Formerly the nose

was considered principally in its relation to the organ of smell. This

is a most important function, as it is a constant sentinel over the

air we breathe and the food we eat. It is a curious circumstance that

many of the functions that are referred to the organ of taste really

belong to that of smell. In eating ice cream, for instance, the sense

of taste simply informs us that it is sweet or otherwise, but the

flavor is perceived only by the sense of smell. A proof of this is

that where this function is destroyed, all ability in this direction

disappears, and the patient thus affected will frequently complain

that his sense of taste is defective, not realizing that it is the

sense of smell which performs this act.

The nose, however, has a much more important function to

perform--viz., in respiration. Strange to say, however, this has only

recently been realized, and it is even yet not well understood. You

have all observed that, when you had a severe "cold" which prevented

nasal breathing, the next morning the mouth and throat were dry and

parched and frequently inflamed, the voice sometimes hoarse, and there

was a general feeling of depression. While the progress of the

inflammatory process may be a factor in this, still the mechanical

obstruction of the nose from any cause whatsoever will have a similar

effect. In patients in whom, for various reasons, an artificial

opening has been made in the trachea, the air of the room has to be

heated to an almost intolerable point and saturated with moisture, or

severe bronchial inflammation will soon develop in the patient, simply

because the nose has not taken an active part in the act of

respiration. These effects, therefore, clearly demonstrate that the

nasal passages have an important function to perform in the breathing

process. Summarized in a few words, it is simply to warm, moisten, and

clean the air which we inhale.

The healthy nostrils are anatomically and physiologically so formed

that when the current of air passes through them it will have been

freed of its mechanical impurities, warmed to within a few degrees of

the temperature of the body, and moistened to saturation. This has

been experimentally demonstrated.

The opening of the passage of the ear into the throat has several

objects, the most important being ventilation and the adjustment of

the atmospheric equilibrium. This passage leads outward until it

enters the cavity of the middle ear, which is closed by the drum on

the outside, thus separating it from the external canal of the ear. We

know that atmospheric pressure varies at different times and in

different altitudes. It is much less, for instance, at the top of a

mountain than at the seaside. The opening into the throat allows the

air to enter, and adjusts the atmospheric pressure within the ear to

these various external conditions. Those of you who have ascended

Lookout Mountain by means of the incline cable car may have noticed

the adjustment taking place by a peculiar click when different

altitudes were reached.

Appletons' Popular Science Monthly, April 1899 Volume LIV, No. 6, April 1899 · 第 7 / 18 段