1. THE PRINCIPLE OF A RELAY
LET us postpone consideration of the origin of diathesis
for a while, tempting though that theme is, and
concentrate our attention entirely on such indisputable
facts about the path for the diathesis as are likely to prove
significant. In other words let us now seek an answer to
the question: How is diathesis transmitted?
One of the first facts to note is that the path for the
diathesis does not act as a transmitter of energy although
it does receive a supply of energy at many points along its
route. Energy is fed in at the crane-man's brain, at his
nerves, at his muscles, at the contactors adjacent to the
crane motors. And none of this energy passes out of the
path to the casting. It is all converted into heat in
making the path for the diathesis work. This path is a
consumer of energy; it is not a transmitter
.
And, moreover, each of the various quantities of energy
that are fed into the path is converted into heat locally;
the energy travels along the path for a short distance
only and never passes from one section into the next.
Thus the energy fed in at the crane man's brain does not
reach his muscles; the energy fed in at his muscles does
not reach the contactors; the energy fed in at the contactors
does not reach the motors.
This is because the path for the diathesis works on the
principle of a relay, a principle with which engineers are
quite familiar, but which I shall explain briefly for the
benefit of those who are not engineers. First let me give
a definition:
A relay is any device for controlling a flow of energy so constructed that the energy controlled by the device is distinct from
the energy used to operate the device.
The principle of a relay is illustrated in Fig 3. This
shows but one of many types. The type shown would be
used to control energy in the form of an electric current.
It differs only in details from the contactors adjacent to
the switch motors. In this relay the switch B is normally
held open by a spring. It is only closed when the electro-magnet is energised. This attracts an armature connected
to the switch and is powerful enough to overcome the
force of the spring. The armature is not shown on the
diagram, but it is easy to understand that the switch
can be caused to close when the magnet pulls on something.
So switch B is controlled by the magnet.

As relays are going to claim much of our attention it will
be convenient to have some terms with which to describe
those essential parts of a relay that are common to all
conceivable types. Let switch B be called the controlled
element. Let the electromagnet be called the operating
element. Let further the energy that flows through the
controlled element be called thecontrolled energy and the
energy that flows through the operating element be called
the operating energy. Let the process in which the controlled
energy is consumed be called the controlled process. And
lastly let the controlled process that is at the end of the path
for the diathesis be called the objective of the diathesis. In
our example movement of the casting is the objective of the
diathesis. At the opposite end of the path to the objective is
the source of the diathesis. Anything that can be said about
this is pure theory at present. So I propose to say nothing
until more of the indisputable facts have become clear.
There is no limit to the number of ways in which a
relay may be constructed and there is no limit to the forms
that may be taken by the operating and the controlled
energy. Either may be mechanical, electric, thermal,
chemical. By the rather wide definition that I have given,
a water tap is a relay. So is the trigger mechanism of a
gun. The trigger is the controlled element. The finger
that presses on the trigger is the operating element. The
energy in the cordite that is released when the trigger is
pressed is the controlled energy. A bull's eye scored on the
target is the objective, though it may not be achieved.
In Figure 3 the switch that constitutes the controlled
element has two alternative positions. But this element
need not be a switch, and to speak of alternative positions
of either the controlled element or the operating element
is not general enough. So I propose to speak in future of
the two states in which these elements may be. When the
controlled element is in one state energy flows to the
controlled process; when it is in the other state energy
does not flow. The two states may be distinguished by the
position of the element, but they may also be distinguished
by any other physical circumstance. The difference between
the one state and the other may be a difference in an electro-static or a magnetic field; it may be a difference in chemical
constitution; it may be a difference in the permeability of
a membrane; it may be a difference in osmotic pressure.
Where the range of possibilities is so wide Fig. 3 shows
too much detail to be applicable to the general case of a
relay. To represent this, one must show no more than a
rectangle as in Fig. 4, with its inlets and outlets. There
are two inlets, one for the operating energy, which enters
with the diathesis, the other for the controlled energy. And
there is oneoutlet. It serves jointly for the controlled energy
and the diathesis. There is no outlet for the operating
energy as this is all converted into heat in the relay.

A characteristic feature of a relay is that it is irreversible. One can control the controlled element by means of
the operating element; but one cannot control the
operating element by means of the controlled element.
This irreversibility can very conveniently be expressed
by saying that diathesis can pass through a relay in one
direction only. Which provides one of the justifications
for speaking of diathesis as a commodity.
Another characteristic feature is that the controlled and
the operating energy need not be equal or even of the same
order of magnitude. The controlled energy may be, and
often is, very great, while the operating energy is very
small. So it is with a gun; so it is with the starting switch
of a motor car engine; so it is with a thermionic valve;
so it may be with Fig. 3, where the dynamo may supply
energy at the rate of thousands of kilowatts while the
battery supplies energy at a rate of but a few watts. Hence
one may speak of the amplification of the relay. The term
means an amplification of energy, not an amplification
of diathesis.
2. RELAYS IN CASCADE
In Fig. 3 the operating energy is controlled by the
switch A. This is the controlled element of another relay,
the operating element of which is not shown. It may be
the hand of the person who operates switch A. Let us
call the relay that contains switch A relay number 1
and the relay that contains switch B relay number 2.
The same diathesis that passes through relay number 2
has also passed through relay number 1. The same
diathesis, be it well noted, not the same energy. Which
is yet another justification for speaking of diathesis as a
commodity. There is no simpler way of saying that the
same thing appears in different parts of a given path.
The energy that passes through the switch A is the
controlled energy for relay number 1. And it is also the
operating energy for relay number 2. When relays are so
connected that this happens they are said to be in cascade.
This leads to the following definition:
Relays are said to
be in cascade when they are so connected that the operating energy
of one is also the controlled energy of the next relay nearer to the
source of the diathesis. Fig. 5 shows a number of relays in
cascade.

To calculate the amplification of a set of relays in
cascade one must multiply the amplifications of the component relays. The resultant amplification may be very
large. If each single relay has an amplification of one
thousand, the amplification of two relays in cascade is
one million, and that of four in cascade is one million
million. Thus a set of relays in cascade can be so designed
that their energy requirements taper sharply as one proceeds from the objective towards the source of the diathesis.
To express this feature I propose to speak of the principle
of tapering energy requirement. It is a principle of great
importance in engineering. It is indeed the principle that
has given man mastery over the great forces of nature.
3. THE PRINCIPLE OF DISSIPATION OF DIATHESIS
Though relays in cascade have the advantage of tapering energy requirements they have the disadvantage
that with each successive relay the control becomes less
precise. One can control a process more accurately
directly with one's own hands than indirectly through
relays. Thus in our foundry the craneman cannot ensure
the position of the casting on the railway truck more
closely than to within a foot or two, and he cannot control
the moment when the casting will come to rest on the
truck more closely than to within a few seconds. And yet
his control of the switches and rheostats in the crane cabin
is very much closer. And his brain controls the impulses
sent through his nerves to his muscles more closely still.
If a quantity of diathesis is to be measured in terms of
closeness of control we have here a loss of diathesis between
the brain and the casting. In general one may say that a
portion of a given supply of diathesis is always lost as this
commodity passes from its source towards its objective.
This observation is of enough practical importance to
deserve a name. I shall call it the principle of dissipation of
diathesis.
4 INTENSITY OF DIATHESIS
To speak of dissipation of a commodity implies that the
commodity is measurable. But I would not venture yet
to say how far diathesis can be spoken of in quantitative
terms. All that I would do is to suggest that one can give
at least a rough meaning to the expression intensity of
diathesis . Let this term serve for the time being to take
account of a number of features of a diathesis that may be
observable to a greater or a less degree. Among them are:
The size of the objects that are individually
controlled. It would be reasonable to say that the
diathesis was more intense the smaller the individual
objects to which it was applied. Large objects are easier
to arrange in a specified order than very tiny ones.
The closeness to which the position in space of
each object is controlled. If it is ensured that objects
be placed accurately to within a thousandth of an inch
one would say that the diathesis was more intense than
if they were placed to within no more than a few feet
of a specified position. In other words, precision work
requires more intense diathesis than rough work.
The closeness in time to which the movements of
the objects are controlled. One would say that a more
intense diathesis was observed on a railway system in
which trains left and arrived to the minute than on
one where trains were allowed to be several hours late.
The number of the objects that are individually
controlled. One would say that a juggler who kept a
hat, a walking stick and an egg in the air at the same
time was putting forth a more intense diathesis than
one who was juggling with a walking stick only.
Similarly one would say that the craneman was putting
forth more intense diathesis when he was timing the
co-ordinated operation of all three crane motors than
when he was controlling only the motor for vertical
movement of the casting.
By this fourth criterion a machine calls for less intensity
of diathesis from its operator the more automatic it is.
Thus an automatic gear change in a motor car calls for
less diathesis than the old fashioned gear change, to
operate which the driver has to perform several well
co-ordinated acts both with a hand and a foot. In such
automatic machinery a number of operations that have
to be properly timed and co-ordinated are grouped
together by some physical means and jointly operated
through a master control. As this master control conforms
to my definition of a relay it may also be called a master
relay. In the most automatic machine that man could
devise one single action, such as the pressing of a push-button at the properly selected moment would suffice
to ensure a sequence -of co-ordinated performances. The
amount of diathesis that the operator would have to
provide through the push-button would be small. But it
would, of course, not be zero.
And this is worth noting; the less diathesis a machine
requires for its operation, the more it requires for its
design and construction.
One can speak of diathesis being more or less intense,
as one can speak of greater or less intense pain, or pleasure,
or surprise, or disappointment. However, there is one
significant difference. The criterion by which to measure
the degree of intensity of these latter experiences is, of
necessity, purely subjective. But the criteria mentioned
above by which to measure the degree of intensity of
diathesis are objective. Though this is all to the good, I
would not pretend that the criteria are precise enough
for numerical statements. But then I am not sure yet
that numerical statements will ever be required. Maybe it
will suffice to say that the intensity of diathesis is, by an
objective criterion, more or less without saying how much
more or less. Should this prove insufficient, I have no
doubt that a basis for numerical statements could be
devised.
5. SUPPLEMENTARY DIATHESIS
Let me return to the principle of dissipation of diathesis.
It often makes the design of a path for diathesis difficult.
If the quantity of energy to be controlled is great compared with the energy available to control it, or if the
path for the diathesis itself consumes a substantial amount
of energy, a number of relays must be placed in cascade
along the path. Then the loss of diathesis may be too
great and the controlled operation may not be performed
properly.
It may be thus in our foundry. The casting has to be
placed centrally on the railway truck. For it is a large
one and if any part of it overhangs the side of the truck
it will be swept off by the first tunnel through which the
train passes. Possibly the craneman, from his distant
cabin, cannot ensure a sufficiently central position for the
casting. The dissipation of diathesis between the cabin
and the casting may be too great. If so the foreman calls
a labourer standing about on the floor of the foundry
and says to him: "Here, Bill. Lend a hand". And Bill
comes and pushes against the casting as it swings ponderously from its hook and he coaxes it into the required
position. What Bill does can conveniently be described
by saying that he supplies supplementary diathesis.
Diagrammatically this would be represented in Fig. 1
by a tributary to the path of diathesis shown there.
In human affairs supplementary diathesis is often fed
into a path for diathesis at various places, especially if
the path is a long one. And we shall have to consider in
due course whether supplementary diathesis is also fed
into any parts of the path for diathesis that lies within
living substance.
6. PARALLEL CHANNELS MAY FORM A PATH FOR DIATHESIS
I have already said that Fig. 1 is over simplified. And
one important fact not revealed in the figure is that there
are a number of distinct channels of communication
between the crane cabin and the motors. In the figure a
single line is used to represent all of them. Among them
are separate pairs of wires for the control of each contactor
and separate pairs for the control of each motor field. So
the physical path along which the diathesis is flowing is a
composite affair.
This fact provides an argument against speaking of
diathesis as though it were a commodity. For this manner
of speaking would suggest that the diathesis is subdivided
into a number of parallel channels as water or energy
could be subdivided. And I do not want to suggest this.
It would rob diathesis of all its useful meaning if one were
to define it in such a way that one could speak of its
subdivision. It would be quite wrong to say that one
diathesis passes along the circuit for control of the vertical
movement of the casting, another along the circuits for
control of the two horizontal movements and three others
along the circuits for control of the speed of each move-
ment. For such a manner of speaking would ignore
certain important aspects of diathesis, such as timing
and co-ordination.
And the timing and co-ordination of the craneman's
activities with his switches is not something merely added
on to his simple operation of the switches. It is an integral
part of one indivisible act of control. If he did not time
his operations correctly, if he did not co-ordinate them,
there would be no diathesis at all. The casting would
certainly not reach its specified position. To omit part
of a diathesis is to destroy the whole. But when one
speaks of a commodity one usually thinks of something
that is not destroyed by removal of a part. To speak of
diathesis as indivisible is to speak of it rather as a process
than as acommodity.
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