We shall understand the word “machine” in a most general sense. A
machine is a typical configuration of physical and of chemical
constituents, by the acting of which a typical effect is attained.
We, in fact, lay much stress upon embracing in our definition of a
machine the existence of chemical constituents also; we therefore
understand by the word “machine” a configuration of a much higher
degree of complication than for instance a steam-engine is. Of course
a machine, whose acting is to be typical with regard to the three
dimensions in space, has to be typically constructed with regard to
these three dimensions itself; a machine that was an arrangement of
elements in a strict plane could never have typical effects at right
angles to that plane. This is a point which must well be kept in mind
in all hypothetical considerations about machines that claim to explain
morphogenesis.
It must be granted that a machine, as we understand the word, might very
well be the motive force of organogenesis in general, if only normal,
that is to say, if only undisturbed development existed, and if a taking
away of parts of our systems led to fragmental development.
But we know that, at least in our harmonious-equipotential systems,
quite another process occurs after parts have been taken away: the
development that occurs is not fragmental but whole, only on a smaller
scale.
And we know, further, that this truly whole development sets in
irrespective of the amount and direction of the separation. Let us first
consider the second of these points. There may be a whole development
out of each portion of the system--above certain limits--which is, say,
of the volume *V*. Good! Then there ought to exist a machine, like
that which exists in the whole undisturbed system, in this portion *V*
also, only of smaller dimensions; but it also ought to exist in the
portion *V*_1 which is equal to *V* in amount, and also in *V*_2, in
*V*_3, *V*_4 and so on. Indeed, there do exist almost indefinitely
many *V*_n all of which can perform the whole morphogenesis, and all
of which therefore ought to possess the machine. But these different
portions *V*_n are only partly different from each other in spatial
relation. Many parts of *V*_2 are also parts of *V*_1 and of *V*_3
and of *V*_4 and so on; that is to say, the different volumes *V*_n
overlap each other successively and in such a manner that each following
one exceeds the preceding one in the line by a very small amount only.
But what then about our machines? Every volume which may perform
morphogenesis completely must possess the machine in its totality. As
now every element of one volume may play any possible elemental rôle in
every other, it follows that each part of the whole harmonious system
possesses any possible elemental part of the machine equally well, all
parts of the system at the same time being constituents of different
machines.
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