Sir,--Against your correspondent’s preference for vernacular terms

may be set a remark by Dr. Whewell, that ‘the loose and _infantine_

grasp of common language cannot hold objects steadily enough for

scientific examination, or lift them from one stage of generalization

to another. They must be secured by the rigid mechanism of a

scientific phraseology.’ To say that ‘the first vertebrate must have

been the product of innumerable antecedent factors,’ is, perhaps, an

expression more puzzling than if one merely said that ‘its immediate

progenitors’ were ‘a single pair;’ but then it has the advantage

of being considerably more suggestive, and a good deal more to the

purpose. Among these ‘factors’ of a living creature parents commonly

find a place,--two parents generally; in some cases, only one; in some

cases, not even one, if we are to believe the advocates of spontaneous

generation, or the still popular view in regard to the Creation. To

the parental factors of any particular offspring must be added those

which are constituted by food and climate and a multitude of changes

and chances in the whole course of its existence. Some characters it

may derive from remote ancestors, transmitted through, though not

developed in, its ‘immediate progenitors.’ It is now forty years since

two French anatomists showed the possibility, or even probability, of

a connection between the molluscous cuttle-fish and the vertebrate

type; and, considering the propensity of the highest vertebrate for

perpetually squirting ink at those who meddle with it, most readers

of controversy will think the instance well selected. Those who wish

to be told what the first vertebrate was probably like, should first

accurately define what they mean by a vertebrate. Is a jointed backbone

the only essential? And if so, how many vertebræ are essentially

requisite? A creature with two vertebræ would be as much a vertebrate

as a creature with three. What shall we say, then, of a creature

possessing, if we may use the expression, but a single vertebra? It

would not have a jointed backbone. It would not be a vertebrate. Yet,

by the simple multiplication of similar parts, in accordance with a

thousand analogies, a vertebrate could be developed from it. By the

differentiation of these similar parts, which not only might follow,

but must follow, a great variety of species could easily be evolved.

Those who really take an interest in the problems connected with this

subject, and whose ‘convictions’ are not too strong and absolute to be

swayed by ascertained facts and logical reasoning will do well to study

the ‘Principles of Biology,’ Herbert Spencer. They will there see

by what extraordinarily simple gradations the lowliest organisms are

connected with higher and the highest forms. They will there find that

‘modification of characters’ is a doctrine less intricate than might

be supposed, even if it cannot be wholly explained in words of one

syllable.

If any intelligent persons can discern the undulatory theory of light

and the modern system of botany in the first chapter of Genesis, no

one would wish to complain of their ingenuity, unless they proposed to

support a particular theory of inspiration by these discoveries. But

then, if the theories of science are only ‘the undulations of human

opinion,’ it becomes necessary to ask why the botanical undulation of

the present day is accepted as a witness, and the Darwinian undulation

rejected. Had the famous Pagan critic, to whom your correspondent

‘R. T. E.’ refers, imagined the sentence, ‘Let there be light,

and there was light,’ to be a scientific description instead of a

theological one, we may feel sure that he would have condemned it for

bombast instead of praising it for its majesty of expression. As it

is, he does not declare it to be the sublimest sentence ever uttered,

but remarks that ‘the lawgiver of the Jews, no common man, having

comprehended the power of the divinity according to the just conception

of it, unfolded it agreeably thereto,’ both in this and in the parallel

phrase, ‘Let the dry land appear, and it was so.’ That all things which

_are_ and which _become_, both are what they are and become what they

become by the simple fiat of the supreme God, is a piece of elementary

philosophy and religion, which, I conceive, Sir, none of your

correspondents can have any wish to dispute; but that the writer of

Genesis anticipated by his scientific knowledge the epoch of Copernicus

and Newton, Young and Fresnel, Linnæus, De Jussieu and Cuvier, is not

only not proven by the few simple phrases of his writings that have

anything remotely to do with the branches of science which they so

nobly illustrated; much more than this, it would be a disgrace and

heavy imputation upon him had he known all _they_ believed, and yet

expressed himself so badly as to leave the world for thousands of years

in ignorance of the very germs of the true theories, so obscurely

that no one should ever have dreamed that he was alluding to the true

theories till after they had been independently discovered.

Your correspondent ‘Xn’ will find both his pleasure and his profit in

reading the chapter on Instinct in ‘Darwin’s Origin of Species.’ It

will give him some idea, I say not, how the reasoning faculty was first

acquired, but how it may have been gradually developed. By a careful

study of the same work he, and many others who need the knowledge, will

see that in accordance with Darwinism the deterioration of a species is

quite possible. His quaintly expressed argument about Adam’s ‘immediate

progenitor’ omits to notice that in the moral world it is a step

upward to become capable of sinning, just as in the physical world it

is a step upward to become capable of dying, so that the wretchedest

man with reason is higher in the scale than the noblest dog, and the

humblest plant than the costliest and most beautiful stone. The other

difficulty which he puts forward of an abrupt transition between the

first man with reason and the parents of such a man without reason is a

difficulty, like that in regard to the first vertebrate, one of words

rather than of facts. As with the origin of language and of languages,

as with the origin of the natural kingdoms and of every individual form

of life, so with the origin of reason; could we see the whole series of

steps, with their infinitely numerous and sometimes almost infinitely

fine and subtle points of discrimination, we should probably be unable

to fix upon any one definite division and say, here noise ends and

articulate language begins; or, here Saxon ends and English begins; or,

_this_ is the top of instinct, and _this_ the dawn of reason.

OYSTERS OF THE CHALK, AND THE THEORY OF DEVELOPMENT.[65]

The interesting notice in your last number, of M. Coquand’s ‘Oysters of

the Chalk,’ draws inferences unfavourable to the theory of development

or evolution which scarcely seem warranted by the facts. It need not be

‘difficult to imagine the creature as existing under such conditions,

that one species, while engaged in “the struggle for existence,” should

starve out and extinguish another;’ for however widely we may find

a fossil species dispersed, it is not probable that it occupied the

whole of its territory at one and the same time, and in the limited

area occupied immediately before its extinction, new varieties may

have prevailed over and displaced the old by some slightly superior

adaptation to the food-supply of the region. The extinction of

any particular species may in some instances have been due to the

extinction, or loss by other means, of its own appropriate food.

Again, it is not necessary to suppose that the hinge, or the internal

or external structure of the shell of an oyster, has been altered by

what may be called the direct action of ‘natural selection,’ since by

the well-established principle of ‘correlation’ the variation in one

part of an organism is nearly or quite certain to produce variations

in other parts. ‘If any such change did occur,’ it is argued, ‘it must

have been _per saltum_, since with these mollusks, numerous as they

are, there are no forms that can fairly be recognised as transitional.’

But this appeal to the evidence of facts is somewhat premature. The

immense difference pointed out between the geological records of

England and France in regard to these very oysters of the chalk,

leaves it perfectly open for us to suppose that even the comparatively

full French record is itself exceedingly imperfect, and that the

transitional forms have either not been preserved, or remain yet to be

discovered. Mr. Darwin gives reasons for believing that when variation

once begins it continues with some vigour; hence, between two settled

wide-spread species connected genealogically together we might expect a

large number of transitional varieties, each represented by only a few

individuals, so that the whole number of these transitional forms might

well be lost to the genealogical record.

Finally, the objection from the scarcity of oysters at the present

day, compared with the great abundance of species in the past, does

not really touch the theory of development, which is concerned to

explain how species come into existence, not how they go out of it.

That varieties, species, genera, have been superseded or extinguished,

within longer or shorter periods, is a fact admitted on all hands.

The general principle of natural selection will account for this in

the rough, maintaining as it does that fresh varieties, species, and

genera better adapted to the surrounding circumstances have arisen,

and by their superior adaptation unavoidably ousted the older forms.

Digging down into the records of history we find a time when the

Romans were supreme in the civilized world; no two consecutive years

of the interval present any remarkable divergence of the prevailing

conditions, yet now we may say of that Roman supremacy in the civilized

world, that, ‘like the Mastodon, it is a thing of the past.’

Torquay, May 14, 1870.

THE MATHEMATICAL TEST OF NATURAL SELECTION.[66]

The soul of many an anti-Darwinian will have been cheered by Mr. A. W.

Bennett’s paper on ‘The Theory of Natural Selection from a Mathematical

Point of View.’ It is, in fact, a very admirable piece of special

pleading, based on a skilful assumption of premisses which, to a

careless or biassed observer, might seem indisputable.

The tendency to variation is spoken of as something very mysterious, of

which no adequate account has ever yet been given. Yet the very simple

explanation is no bad one,--that where two parents are concerned in

the production of any offspring, the product in part resembling each

of the producers must of necessity also in part differ from each of

them. Between the parents themselves, Mr. Herbert Spencer has shown

that differences of age and external circumstances would ensure the

requisite want of resemblance in the absence of any other cause.

‘The rigid test of mathematical calculation’ is then applied to the

case of mimetic butterflies, with the view of showing that they could

not have been produced simply according to the laws of variation,

inheritance, and natural selection. In the application of this rigid

test, the very first step is a perfectly gratuitous assumption, ‘that

it would require, at the very lowest calculation, one thousand steps

to enable the normal _Leptalis_ to put on its protective form.’ Who is

to prove that fifty differences would be insufficient? An interval of

a thousand years might be granted for establishing each one of these

variations. Suppose even fifty thousand, instead of only fifty steps,

to be necessary, it is another gratuitous assumption that ‘the smallest

change in the direction of the _Ithomia_, which we can conceive on any

hypothesis to be beneficial to the _Leptalis_, is at the very lowest

one-fiftieth of the change required to produce perfect resemblance.’

How small a difference must decide the choice made by a donkey placed

equidistant between two bundles of hay! Certainly, then, a bird on the

wing, having to choose amidst myriads of butterflies, may be determined

by an almost infinitesimal distinction. Further, though the whole

change may be produced by an immense number of small changes, it is not

necessary to suppose that all the changes will be equally small. It

is merely begging the question to assume that the first change could

not possibly be large enough to be of any use. And if it may be of

use, the whole mathematical calculation, based on its being useless,

breaks down from the beginning. Again, since the _Leptalis_ may have

spent one million years in arriving at its present likeness to the

present _Ithomia_, it is impossible to assert that the normal forms

of the two butterflies were as wide apart at the beginning of that

period as they are at present. The mimicry having once set in, might be

retained by parallel variations. This, indeed, cannot fail to be the

case, if the protection is to be a lasting one; for when the _Ithomia_

varies in outward appearance, unless the _Leptalis_ varies in the same

direction, the resemblance will be lost. This progressive mimicry

would be more valuable than an imitation in which no changes occurred,

since the enemies of a mimetic species would in time become aware of

a fraud which had no variations at its command, as birds are said

now-a-days to pounce without hesitation upon caterpillars which very

much resemble twigs[67]. Even ‘a rough imitation’ may be useful in the

first instance, and yet when hostile eyes have long been exercised, and

have acquired greater and greater sharpness, finally nothing less than

_absolute identity_ of appearance may be thoroughly effective. Thus

the perfecting of the resemblance will be no ‘mere freak of Nature,’

nor shall we be ‘landed in the dilemma that the _last_ stages are

comparatively useless’ in this procedure.

The array of figures brought forward to prove that the _Leptalis_

could not have made twenty steps of variation in the direction of the

_Ithomia by chance_, would be much to the purpose if any exponent of

the theory of Natural Selection had ever argued or supposed that

it could. The calculation takes it for granted that the theory is

erroneous, instead of proving it to be in error. Upon this assumption,

it might have been put far more strongly, only that a stronger way

of putting it would have borne on the face of it the suspicion of

some inherent fallacy. It begins by supposing that there are ‘twenty

different ways in which a _Leptalis_ may vary, only one of these being

in the direction ultimately required;’ it might quite as truthfully,

or even more so, have said a thousand instead of twenty, and then the

second step would have given the chance as only one in a million,

instead of one in four hundred. But while the theory of Natural

Selection speaks of numerous minute useful variations, Mr. Bennett

will not allow that combination of terms. Let them be numerous and

minute, if you will, he says; but if small, they cannot be useful; if

useful, they cannot be small. He claims to have Mr. Darwin’s own word

for it, that a large variation would not be permanent, as though Mr.

Darwin had said, ‘living creatures have come to be what they are by

successive useful deviations of structure permanently propagated, but

no large deviations are permanent, and no small ones are useful.’ It

is quite obvious that in the use of relative terms, such as great and

small, Mr. Darwin neither intended to stultify himself nor has done

so. A thing may be large enough to be useful without being large as

compared with something twenty times its own size; and a man may be

said to have a huge brain in a very small body, although the body in

solid content far exceeds the brain. When Mr. Darwin says that ‘Natural

Selection always acts with extreme slowness’, he does not imply that

its steps must therefore be so numerous as to be too small to confer

any advantage. This would be a contradiction in terms. But the steps

may be exceedingly small notwithstanding, and also sometimes separated

by enormous intervals of time from one another.

In introducing his own explanation of things, Mr. Bennett affirms that

‘resemblances, and resemblances of the most wonderful and perfect kind’

in the vegetable kingdom, ‘are in no sense mimetic or protective.’ This

may be so, but it can hardly be said to be proved. When he speaks of

‘man’s reason’ having ‘assisted him so to modify his body as to adapt

himself to the circumstances with which he is surrounded,’ and suggests

that the instinct of animals may have assisted them also to modify

their bodies by slow and gradual degrees to the same purpose, it is

difficult to imagine the process intended, and still more difficult to

see how ‘the slow and gradual degrees’ will escape the rigid test of

mathematical calculation which Mr. Bennett has elsewhere applied; for

if the steps are great, they ought not to be permanent; and if small,

they ought not to be useful. A theory which makes it possible for a

bee to ‘modify its proboscis’ by instinct, or for a man to treat his

nose in the same manner by reason, seems harder of digestion than the

Darwinian.

Torquay, Nov. 12, 1870.

THE GENESIS OF SPECIES.

A review in ‘Nature,’ by Mr. A. W. Bennett, of Mr. Mivart’s ‘Genesis of

Species,’ contains the following passage:--

‘It behoves, therefore, every Darwinian to satisfy himself that either

Mr. Mivart’s premisses or his line of argument is unsound.

‘The objections brought forward by the author are summed up as

follows:--(1) That Natural Selection is incompetent to account for the

incipient stages of useful structures. (2) That it does not harmonize

with the coexistence of closely similar structures of diverse origin.

(3) That there are grounds for thinking that specific differences may

be developed suddenly instead of gradually. (4) That the opinion that

species have definite though different limits to their variability is

still tenable. (5) That certain fossil transitional forms are absent

which might have been expected to be present. (6) That some facts of

geological distribution supplement other difficulties. (7) That the

objection drawn from the physiological difference between “species”

and “races” still exists unrefuted. (8) That there are many remarkable

phenomena in organic forms upon which Natural Selection throws no

light whatever, but the explanations of which, if they could be

attained, might throw light upon specific origination.

‘If these objections are not new, they are at least sustained by new

arguments. They are evidently of very unequal value. The third is very

difficult of proof or disproof. The fifth may be true in our present

state of knowledge, but would be very unsafe by itself as the basis of

an argument. The first, second, and eighth are of greatest value, and

are those which Mr. Mivart has most closely worked out[68].’

The review containing the above passage did not appear till the

present volume was on the very eve of publication. Even a hasty glance

at Mr. Mivart’s book is sufficient to show that Mr. Bennett has not

over-estimated its importance and value. It is scarcely possible here

to do more than make a few reflections upon its general scope, in reply

to the challenge offered to Darwinians. The first objection, as it

stands in the summary, wears the appearance of a misconception. It is

almost certain to produce one. When Mr. Darwin attributes the origin

of species to Natural Selection, he includes expressly, and where not

expressly, by obvious implication, the principle of Variability. He

never maintains that the first or any subsequent stage of a useful

structure can be produced by Natural Selection. Natural Selection

only operates to preserve. Without Variation it would have no sphere

in which to operate, so that from one point of view Mr. Darwin may

be said to attribute the origin of species to Variation rather than

Natural Selection. He is, moreover, far from ignoring the influence

of other principles, such as Inheritance, Reversion, and Correlation,

upon the total result. He may be thought inconsistent with himself in

laying stress at times upon the minuteness of the variations which he

supposes to have slowly accumulated into specific differences, and at

other times admitting the sudden appearance of variations which may

be considered as large ones, and which are certainly striking. But in

the first instance the great and almost overwhelming difficulty was to

induce a belief that forms specifically different could be connected

with one another by descent. By showing that a multitude of small

differences accumulated would make a large total difference, he made

as it were a bridge for the existing incredulity. It now appears that

the gulf may be passed with easy strides instead of the little slow

steps at first thought necessary. This fortifies the doctrine of the

Transmutation of Species, in proportion as there are fewer ‘missing

links,’ fewer transitional forms that need to be accounted for.

Of ‘the coexistence of closely similar structures of diverse origin,’

illustrated so forcibly by the instance of the eye, ‘in at least

three independent lines of descent, the Mollusca, the Annulosa, and

the Vertebrata,’ it can scarcely be denied that Natural Selection

alone would be an inadequate explanation. But here again it should

be observed that Darwinism does not attribute everything to Natural

Selection. It assumes, what must be allowed, that variations occur. In

obedience to what laws those variations themselves are produced is an

interesting speculation, and a most important subject of inquiry. That

such laws or conditions of Variation exist no one can doubt, unless he

has been seduced by Ovidian metamorphoses to believe in trees bleeding

human blood and human foreheads branching with the antlers of the stag.

A knowledge of those conditions might fully explain the coexistence of

similar structures of diverse origin, consistently with the principle

of Natural Selection. The ignorance of them is scarcely a proof that

such coexistence does not harmonize with it.

The objection that giraffes, which profited by long necks in a time

of drought, would find them a disadvantage subsequently, as requiring

a greatly increased size and strength of muscles to support them,

overlooks the law of correlation, by assuming that the elongated neck

would be out of proportion to the other conditions of the creature’s

fabric.

Mr. Mivart’s fourth objection seems at least an extremely improbable

opinion. He refers to Mr. Darwin’s expression, that the goose appears

to have a highly inflexible organization, as if he himself thought

it possible for a species at length to attain to an organization

completely inflexible. Such a view would imply two parents exactly like

one another, producing offspring exactly like themselves; and of such

exact likenesses no known families afford examples.

The seventh objection recalls the still unexplained physiological

difference between ‘species’ and ‘races,’ unions between the former

being sterile, and between the latter fertile. In this branch of the

subject there is much scope still for inquiry. Some of the difficulty

may be due to a trick played us by language. True species have been

defined to be those that are not fertile together; and from the

definition it follows that races which _are_ fertile together are

not true species. But the question is obscured by the use of the two

different words ‘races’ and ‘species,’ the real issue being, whether

races that are and races that are not fertile together can originate

in the same way. The subject in its other bearings has been largely

discussed by Mr. Darwin in his work on ‘Animals and Plants under

Domestication.’

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