That this conclusion is correct is obvious from the fact that a whole,

that is, a perfect individual with all its parts, develops from the

ovum, and not a defective one. For suppose that each mature germ-cell

contained only half the primary constituents of the body, it would be

impossible that these halves should always exactly complete themselves

to form a whole embryo when they are brought together in fertilization,

after having been halved by mere chance during the preceding reducing

division; it would be much more likely to happen that they did not

complete themselves, and that their union would therefore result

in an individual with certain parts wanting. If, for instance, in

the sperm-cell only the anterior half of the body was potentially

present, and this united with an ovum which likewise contained only

the primary constituents of the anterior half, the embryo resulting

from their union would lack the posterior half of the body, and so

on. Of course so rough a division of the primary constituents is not

to be thought of, but however fine we can imagine the halving of the

mass of primary constituents to be, there would never be any guarantee

that the two cells uniting in amphimixis would complete the mass of

primary constituents again; indeed, the chance that the two exactly

complementary halves of the mass would meet would rather become less

the finer and more complex one imagines the halving by reducing

divisions to be. A perfect embryo with all its parts would rarely

arise, but now one group of parts, now another would be wanting, while

another group might be developed double, or at least would be doubly

present in the primary constituents.

But in addition to this the facts of inheritance show us that the

resemblance to mother and father may express itself simultaneously

in all the parts, or at least in the same parts of the child, as may

be seen with especial clearness among plant-hybrids, and thus the

conclusion is inevitable that even in the half number of chromosomes

all the primary constituents of the whole body are present.

Let us go a generation further. If the species possess four

chromosomes the child will have in its cells two maternal chromosomes

(_A_) and two paternal chromosomes (_B_); what form will this

proportion take in the germ-cells produced by the child? The maturation

division can effect the reduction to two chromosomes in different ways;

there may, for instance, be two paternal chromosomes (_B_) left in the

one, and two maternal chromosomes (_A_) in the other daughter-cell, or

one paternal (_B_) and one maternal (_A_) in the one, and a similar

combination in the other cell. Let us follow the latter case further.

A sperm-cell which contained the combination _A_ and _B_ might meet

in amphimixis with an egg-cell of different origin also containing a

similar combination of chromosomes, let us say a chromosome _C_ from

the mother, and a chromosome _D_ from the father. We should then have

in the segmentation nucleus of the fertilized ovum four different

chromosomes, each of which contained the hereditary substance of one

grandparent; we should have the four chromosomes, _A_, _B_, _C_, _D_,

as the hereditary substance of the grandchild.

_But since, as we have seen, the halved hereditary substance still

contains the whole mass of primary constituents, each one of these

chromosomes must contain the collective primary constituents of the

whole body of the relevant grandparent_[18]. _The hereditary substance

in the fertilized ovum thus consists of several complexes of primary

constituents (chromosomes) each of which (an 'id') comprises within

itself all the primary constituents of a complete individual._

[18] When I say the 'collective' primary constituents of the whole body

of the grandparent this is not expressing it quite precisely, for, as

we shall see later, each individual must arise from the co-operation

of different chromosomes of different origin, not merely from one of

the chromosomes contained in its germ-plasm. In the example given

above, the body of each grandparent cannot have arisen only from

a single chromosome, which was transmitted to his grandchild, but

from the co-operation of this chromosome with three others, which

have distributed themselves along other genealogical paths. But this

does not affect the above chain of reasoning, for here it is not a

question of whether all the primary constituents of the grandparent

are present in the child--that can never be the case--but whether the

primary constituents transmitted by him represent the whole body of an

individual.

It can be made clear in yet another way that, as a consequence of

sexual reproduction, the germ-plasm of each species must be composed

of several 'ids,' _individually different_. Let us assume that there

was as yet no amphimixis, and that we could look on at its introduction

into the organic world; the hereditary substance of the beings which

had previously lived and multiplied by division would consist of

more or less numerous chromosomes similar to each other, so that,

for instance, each individual would contain sixteen identical 'ids.'

But if amphimixis were now to take place for the first time, in the

same manner as it does to-day--that is, after the reduction of the

number of the ids to half--in the first amphimixis eight paternal

ids would unite with eight maternal ids to form the germ-plasm of the

new individual, as is indicated in Fig. 87 by a circle of spheres,

of which ten are white and ten black as a sign of their difference.

We may think of the figure as representing the 'equatorial plate'

of a nuclear spindle with its ids arranged in a circle. Now, if

two organisms of this generation, with two kinds of ids, unite in

amphimixis after previous reduction of the ids, we have figure _B_,

in which the paternal ids (_pJ_) are seen to the left of the line and

the maternal ids (_mJ_) to the right, while each semicircle is in its

turn made up of two kinds of ids, those of the grandparents (_p_^2_J_

and _m_^2_J_, _p_^2_J_^1 and _m_^2_J_^1). The figures _C_ and _D_ show

the two following generations, in which the number of identical ids is

each time reduced to half, because eight strange ids are again mingled

with them; in _C_ only two ids are still identical, and in _D_ all the

ids are individually different, because they have come from different

ancestors of the same species. Of course this would only be the case

if inbreeding were excluded, because through it the ids of the same

forefathers from two or more sides would meet; but prolonged inbreeding

is a rare exception in free nature.

[Illustration: FIG. 87. Diagram to illustrate the operation of

amphimixis on the composition of the germ-plasm out of diverse

ancestral plasms or 'ids.' _A_-_D_, the ids of the germ-plasm of

four successive generations: _A_, consisting of only two kinds of

ids; _B_, of four; _C_, of eight; _D_, of sixteen kinds. _pJ_ and

_mJ_, paternal and maternal ids. _p_^2_J_, grandpaternal; _p_^3_J_,

great-grandpaternal; _p_^4_J_, great-great-grandpaternal ids. The marks

in the ids themselves indicate their individually distinct characters.]

I shall now call the hereditary substance of a cell its 'idioplasm,'

after Nägeli's example, although he sought it in the cell-substance,

not in the nucleus, and had a different theoretical conception of its

mode of action. It was he, however, who conceived and established

the idea of the idioplasm as the bearer of the primary constituents,

an _Anlagensubstanz_, determining the whole structure of the

organism in contrast to the general nutritive protoplasm. Every cell

contains idioplasm, since every cell-nucleus contains chromatin,

but I call the idioplasm of the germ-cells _germ-plasm_, or the

primary-constituent-substance of the whole organism, and the complexes

of primary constituents necessary to the production of a complete

individual--whose presence we have just shown to be theoretically

necessary--I call _ids_. In many cases these 'ids' might be synonymous

with chromosomes, at least in all the cases in which the chromosomes

are simple, that is, are not composed of several similarly formed

structures. Thus in the salt-water Crustacean, _Artemia salina_,

which possesses 168 minute granular chromosomes, each of these

chromosomes must be regarded as an id, for each can in certain

circumstances be thrown out from the ovum by the reducing division,

or it can be brought into the most various combinations with other

chromosomes by fertilization. Each of them must therefore consist of

perfect germ-plasm in the sense that all the parts of an individual

are virtually contained in it; _each is a biological unity, an id_.

But when we see in many animals larger band-shaped or rod-shaped

'chromosomes,' and when these are composed of a series of granules, as

they are, for instance, in the often mentioned _Ascaris megalocephala_,

each of these granules is to be regarded as an id. In point of fact,

we find, instead of the two or four large rod-shaped chromosomes

of _Ascaris megalocephala_, a larger number of smaller spherical

chromosomes in other species of _Ascaris_.

Compound chromosomes consisting of several ids, such as all rod or

band-like elements of the nuclear substance probably are, I designate

'idants.' That they are composed of several individual ids is not

always clearly apparent because of the smallness of the object, and

even in larger ones this may only be seen in certain stages. Thus

we have in Fig. 88, _A_ and _B_, two 'mother-sperm-cells' of the

salamander; _A_ at an earlier stage, in which the individual ids are

not visible; _B_ at a later stage, in which the band has split, and

the rosary-like structure has become at once apparent. It is not

possible, then, to see at once whether each chromosome corresponds to

one or to several ids. A more exact investigation of the processes

of reducing division has shown that there are chromosomes of simple

spherical form, that is, composed of several ids whose 'plurivalence'

cannot be directly recognized, but can only be inferred from their

further development; there are bivalent chromosomes of double value

and quadrivalent chromosomes of fourfold value, which we have to think

of as made up of two or four ids. It would lead us too far to go into

this more precisely, nor does it fall within the scope and intention

of these lectures to inquire into these intimate and still disputed

details.

The germ-plasm of every species of plant or animal is thus composed

of a larger or smaller number of ids or primary constituents of an

individual, and it is through the co-operation of these that the

individual which develops from the ovum is determined.

[Illustration: FIG. 88. Sperm-mother-cells (spermatocytes) of the

salamander. _A_, cross-section of the cell in the aster-stage; the

chromosomes (_chr_) or idants do not reveal that they are compounded

out of many ids, which are, however, quite distinctly seen in

_B_ (_Jd_), where the chromosomes or idants (_chr_) are already

longitudinally split. _zk_, cell-substance. _csp_, centrosome. _c_,

centrosome in division. After Hermann and Drüner.]

We have further to inquire what conception we can form of the

constitution of an id and of its mode of operation. I have already

spoken of 'primary constituents' (_Anlagen_) of which the germ-plasm

consists, but what right have we to think of the parts of an animal as

already contained in the germ in any form whatever? Is it not equally

possible that the germ consists of parts, none of which bear any

definite relation in advance to the parts of the finished animal? Might

not the germ-cell, along with its nucleus, undergo transformations and

regular changes which would successively give rise to new conditions,

namely, the different stages of development, until finally the complete

animal was attained?

We stand here before an old problem, before the two opposed

interpretations--the theory of 'Evolution' and the theory of

'Epigenesis,' which were first ranged against each other long ago, and

which are a cause of strife even now, although in somewhat different

guise.

The theory of 'Evolution' is especially associated with the name of

Bonnet, who elaborated it in detail in the eighteenth century. It

maintains that the development of the ovum to the perfect animal is not

really a new creation, but only an unfolding of invisible small parts,

which were already present in the ovum. It assumes that the parts of

the perfect organism are already preformed in the ovum, and on this

account it is called the 'Preformation Theory.' Bonnet often speaks

of the preformation of the perfect animal in the germ as a 'miniature

model,' although his conception of 'evolution' was not really so crude

as has been often alleged. He expressly emphasized that this miniature

model was not exactly like the perfect animal, but consisted of

'elementary parts' only, which he thought of as a net whose meshes were

filled up during development and by means of nutrition with an infinite

number of other parts. But after all, his conceptions, and those of his

time generally, were very far removed from the biological thinking of

our own day, as may perhaps be most readily understood when I mention

that he regarded death and decay as an 'involution,' as a folding back,

so to speak, by means of which all the parts gained though nutrition

were removed again, so that the net of the miniature model shrank

together to the invisible minuteness that it had in the ovum. So it

remained, he fancied, till it was reawakened at the resurrection,

using the term in the religious sense! He afterwards dropped this

fancy, because the objection was made to it that human beings who had

lost a leg or an arm in this life would necessarily be maimed at the

resurrection!

In Bonnet's time the facts of development were quite unknown, and

not even the stages of the development of the chick from the egg had

been observed. When this was afterwards done the prevalent theory

of 'evolution' necessarily collapsed, for men saw with their own

eyes that a miniature model of the chick did not gradually grow into

visibility and ultimately into the young chick, but that first of all

parts showed themselves in the egg which bore no resemblance at all

to the chick, that these first rudiments were then altered, and that

through continual new formations and transformations the chick finally

appeared. Upon this K. von Wolff based his theory of 'Epigenesis,' or

development through new formations and transformations. He maintained

that the doctrine of 'Evolutio' was false; that there is no miniature

model invisibly contained within the egg; but that from the simple

egg-substance there arises, through the agency of the formative powers

inherent in it, a long series of stages of development, of which each

succeeding one is more complex than the one before, until ultimately

the perfect animal is reached.

This certainly marked considerable progress, for it meant the

beginning of a science of embryology, that is, the science of the

form-development of the animal or plant from the ovum. The result was

not so important in its theoretical aspect, for though the knowledge

had been gained that the young animal goes through a long series of

different stages, it had not been discovered how nature works this

wonder and causes an animal of complex structure to arise from the

apparently simple substance of the ovum. A solution of the difficulty

was found by attributing to the ovum a formative power, afterwards

called by Blumenbach the _nisus formativus_, which possessed the

capacity of developing a complex animal from the simple 'slime,' or, as

we should say, the simple protoplasm.

If we contrast the strictly theoretical part of the two theories, we

find that Bonnet regarded the ovum as something only apparently simple,

but in reality almost as complex as the animal which developed from it,

and that he thought of the latter, not as being formed anew, but as

being unfolded or evolved. That is to say, he thought that rudiments

present from the outset in the ovum gradually revealed themselves and

became visible. Wolff, on the other hand, regarded the ovum as being

what it seemed, something quite simple, out of which only the _nisus

formativus_ could, by a series of transformations and new formations,

build up a new organism of the relevant species.

Wolff's Epigenesis routed Bonnet's theory so completely from the

field that, until quite recently, epigenesis was regarded as the only

scientifically justifiable theory, and a return to the 'evolutionist'

position would have been looked upon as a retrograde step, as a

reversion to a period of fancy which had been happily passed. I myself

have been repeatedly told, with regard to my own 'evolutionistic'

theory, that the correctness of epigenesis was indisputably

established, that is, was a fact, verifiable at any time by actual

observation!

But what are the facts? Surely only that there is a succession of

numerous developmental stages, which we know very precisely in the

case of a great many animals, and that the miniature model which

Bonnet assumed to be in the egg does not exist. Both these facts

are now no longer called in question. But that does not furnish us

with a theory of development, for theory is not the observation of

phenomena or of a series of phenomena, _it is the interpretation of

them_. Epigenesis, as formulated first by Aristotle and again by

Harvey, Wolff, and Blumenbach, certainly offered an interpretation of

development, not, however, by referring only to what was observable,

but by going far beyond it; on the one hand taking the _appearance_ of

a homogeneous germ-substance for reality, and, on the other, assuming

a special power, which caused a heterogeneous organism to arise from a

homogeneous germ.

We cannot now accept either of these assumptions, for we know that the

germ-substance is not homogeneous, and indeed is not merely a substance

but a living cell of complex structure; and we no longer believe

in a special vital force, and therefore not in a special 'power of

development,' which could only be a modification of the former. We are

thus as little able to accept the old epigenesis as the old evolution,

and we must establish a theory of Development and Heredity on a new

basis.

What this basis must be is in a general way beyond doubt. Since it

is the endeavour of the whole of modern biology to interpret life

more and more through the interactions of the physical and chemical

forces bound up with matter, development, too, comes within this aim,

for development is an expression of life. We seek to understand the

mechanism of life, and, as a part of that, the mechanism of development

and of heredity which is closely associated with it.

If we wished to attack the problem of heredity at its roots we

should first of all have to try to understand the process of life

itself as a series of physico-chemical sequences. Perhaps this will

be achieved up to a certain point in the future, but if we were to

wait for this we should in the meantime have to abandon all attempts

at a theoretical interpretation of the phenomena of development and

heredity, and might indeed have to postpone them to the Greek Kalends.

That would be as though, in the practice and theory of medicine, all

investigation into and speculation regarding disease had to wait until

the normal, healthy processes of life were thoroughly understood. In

that case we should now know nothing of bacteria diseases and the

hundred other acquisitions of pathological science: physiology too

would have remained far behind its present level if it had lacked the

fruitful influence of experience in cases of disease, and the ideas

and theories, true and false, which have been based thereon. In the

same way we require a theory of development and heredity if we are to

penetrate deeper into these phenomena, and must have it in spite of the

fact that we are still very far from having a complete causal knowledge

of the processes of life. For the raw material of observation, which

is to some extent fortuitous, will never bring us any further on;

observation must be guided by an idea, and thus directed towards a

particular goal.

It is, however, quite possible to leave aside for the present all

attempts at an explanation of life, and simply to take the elements of

life for granted, and on this basis to build up a theory of heredity.

We have already taken a step in that direction by establishing that

the whole substance of the fertilized ovum does not take part in

heredity in the same degree, but that only a small part, the chromatin

of the nucleus, is to be looked upon as the bearer of the hereditary

qualities, and by deducing, further, that this chromatin is made

up of a varying number of small but still visible units, the ids,

each of which virtually represents the whole organism, or, as I have

already expressed it, each of which contains within itself, as primary

constituents, all the parts of a perfect animal.

It was these 'primary constituents' which led us to the digression in

regard to Bonnet's theory of 'Evolutio' and Wolff's 'Epigenesis.'

Let us now inquire what must be the constitution of such a chromatin

globule, an id, so that, shut up within the nucleus of a living

reproductive cell, it can direct the development of a new organism

which resembles its parent. Two fundamental assumptions present

themselves, and these can be related to every conception of a

'germ-plasm,' even independently of the assumption of ids. Either we

may think of the id as made up of similar or of different kinds of

parts, none of which has any constant relation to the parts of the

perfect animal, or we think of it as composed of a mass _of different

kinds of parts, each of which bears a relation to a particular part

of the perfect animal_, and so to some extent represents its 'primary

constituents' (_Anlagen_), although there may be no resemblance

between these 'primary constituents' and the finished parts. The

assumption of a germ-plasm composed of similar parts, which has

been made, for instance, by Herbert Spencer, may be called the

modern form of epigenesis, while the other assumption is the modern

form of the 'evolution' theory. As the former theory can no longer

call to its aid a 'formative power' as a _Deus ex machina_, it can

only explain development as induced by the influence of external

conditions--temperature, air, water, gravity, position of parts--upon

the chemical components of the germ-plasm, which are everywhere

uniformly mingled; and it makes no difference whether this uniform

germ-plasm is thought of as composed of many different kinds of parts,

as long as those parts are mingled uniformly to make the germ-plasm

and bear no relation to definite parts of the developing animal.

Oscar Hertwig has recently outlined such a theory. Although I cannot

expound it here I must say at least so much with regard to it, and to

all other theories of development founded on a similar basis, that

they could not be accepted even if they were able to offer a workable

explanation of the development of the individual, and for this reason,

that ontogeny is not an isolated phenomenon which can be interpreted

without reference to the whole evolution of the living world, for it

is most intimately associated with this, being indeed a piece of it,

having, as we shall see, arisen from it, and, furthermore, preparing

for its continued progress. _Ontogeny must be explained in harmony

with phylogeny and on the same principles._ The assumption of a

germ-plasm without primary constituents, or of a completely homogeneous

germ-plasm, as Herbert Spencer maintained, is irreconcilable with this,

for, as will be seen, it contradicts certain facts of inheritance and

variation. Therefore all theories founded on this assumption must be

rejected.

There is another and, I believe, weighty consideration which forbids us

to assume a germ-substance without primary constituents. I shall return

to this later, but in the meantime I wish to build up more completely

my own 'germ-plasm' theory.

I assume that the germ-plasm consists of a large number of different

living parts, each of which stands in a definite relation to particular

cells or kinds of cells in the organism to be developed, that is, they

are 'primary constituents' in the sense that their co-operation in the

production of a particular part of the organism is indispensable, the

part being _determined_ both as to its existence and its nature by the

predestined particles of the germ-plasm. I therefore call these last

_Determinants_ (_Bestimmungsstücke_), and the parts of the complete

organism which they determine _Determinates_, or hereditary parts.

It is easy to show on what basis this assumption rests; the phenomena

of inheritance taken in conjunction with those of variation seem to

me to compel us to it. We know that all the parts of an organism are

variable, and that in one individual the same part may be larger, in

another smaller. Not all variations are transmissible, but many of

them, and some very minute ones, are. Thus, for instance, in many human

families there occurs a small pit, hardly as large as the head of a

pin, in the skin of the ear, whose transmission I have observed from

the grandmother to the son and to several grandchildren. In such a case

there must be a minute something in the germ-plasm, not present in

that of other human beings, which causes the origin, in the course of

development, of this little abnormality in the skin.

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