THE MECHANISM OF LIFE " Of philosophy I will say nothing, except that when I saw that it had been cultivated for many ages by the most distinguished men, and that yet there is not a single matter within its sphere which is not still in dispute, and nothing, therefore, which is above doubt, I did not presume to anticipate that my success would be greater in it than that of others; and, further, when I considered the number of conflicting opinions touching a single matter that may be upheld by learned men, while there can be but one true, I reckoned as well-nigh false all that was only probable." DESCARTES: The Discourse on Method. " When I wrote my paper on the thymus gland, I was very con- scientious about the literature on the subject. I found that many memoirs had been written and published, and I looked at them all or, at least, at all of them that I could obtain. There were many German works, not many French and Italian ones, and a number of English papers. I collated and made abstracts of them , and discussed all the results and conclusions, and, generally, rounded off our knowledge with regard to the matter. Altogether I found afterwards that there were fifty-two memoirs on the development of the gland. My paper only made the number fifty - thrv> !" Unpublished Letter from a Young Zoologist. THE MECHANISM OF LIFE IN RELATION TO MODERN PHYSICAL THEORY BY JAMES JOHNSTONE, D.Sc. PROFESSOR OF OCEANOGRAPHY IN THE UNIVERSITY OF LIVERPOOL LONGMANS, GREEN & CO LONDON: EDWARD ARNOLD IQ2I All rights res i- wed B1C PRINTED IN GREAT BRITAIN. PREFACE IT is possible that the title of this book may be misleading to some readers, and so an explanation may, very appropriately, form the subject of this introduction. Well, then, by " the mechanism of life " is meant nothing more than the results of a scientific analysis of the activities of living animals. First, we must define what is meant by " scientific method," and this is not at all difficult now that Einstein, Eddington, and the other relativists, have persuaded us to think about what we do when we investigate something " scientifically." What we do, in that case, is to observe space-time coincidences in a four- dimensional manifold that is really and actually our procedure, though it seems rather dreadful ! It would be very inconvenient, also, to sustain oneself in this plane all the while, and so we proceed to let ourselves down to earth, so to speak. From the space coincidences that we observe (for instance, the coincidences of the top of a column of mercury in a barometer tube with certain marks on the adjoining scale) we infer space measurements, and from the coincidences of the hands of a clock with marks on the dial we infer time measurements. That simplifies the method a good deal. Then it is only the relations between series of space-time measurements that form the data of science (its differential equations), but that, again, is very trying, and so we assume that there are things in nature. These things are separated from each other, at the same instant of time, by intervals of space, while they are separated from each other, in the same space, by intervals of time. Thus we have something to lean up against and sustain ourselves in this rather difficult process of apprehending nature. The things that we regard as existing apart from each other in space and time are electrons. But just yet that is rather inconvenient, and so we regard our natural things as atoms and molecules in motion in an arbitrary three dimensional space and an arbitrary one- dimensional time. V 460727- vi PREFACE Thus there are atoms and molecules which exist and move and form configurations that is, constitute physico-chemical systems in space and time. When we speak about a " mechan- ism," we mean the motions and configurations of material particles. Already we have gone a long way, via inferences, from our " real and actual " observations of the passage of nature, which observations are space- time coincidences; but never mind that : let us stick to our notion of mechanism systems of material particles and their motions and configurations. The descriptions of such systems by making use of space measure- ments, and the devising of mathematical relationships between them (the differential equations), are the method of science. What we call " space " may be measured in terms of x and y and z, the old space dimensions, and t the time one ; and so the equations that we make involve the four " variables," x, y, z, and t. That is what physiology does; whatever its particular methods may be, they involve the observations of space- time coincidences the readings of the pointers, scales, etc., of instruments. It observes systems of material particles (the atoms and molecules making up tissues) in certain configurations, and then, after intervals of time, in other configurations. Sometimes the differ- ences between the configurations can be thrown into mathe- matical forms, but more often they cannot. This, therefore, is what is called mechanism, and it is the method of physiology. It is the study of the successive phases of a material energetic configuration or system. Note that it is not necessarily the study of an organism. Usually what is investigated is a part of an organism, or even the dead material of the latter. And in all cases it is the study of the physico- chemical activities of the organism that is the object of physiology. In the very act of investigation these activities are necessarily dissociated from each other, and the result is a number of partial views of the whole organic activity. Of course, all this is in- dispensable, and so the greater part of this book is really a sum- mary of the main results of physiological science, and is intended to give the reader an attitude (for he must supplement what is said here) in his attempt to understand life. It would be inconvenient, and even pedantic, to state these results in terms of the fundamental space-time concepts, and so our analyses of the activities of the living organism must continue PREFACE vii to use the familiar ideas of atoms, molecules, colloids, chemical and physical states of equilibrium, energy-transformations, potentials, radiation, and so on. In the light of modern physical theory, however, most of these concepts are derived ones, and if we use them in speculations upon the nature of life, there may be some crudeness in our statements. Thus, quoting a very good modern statement as to the aims of biology * 1. " Scientific biology is strictly deterministic. It admits the possibility of only one result from a given set of antecedents." 2. " Scientific biology endeavours to explain organic pheno- mena on the basis of antecedent physical conditions, though admitting that our knowledge of cause and effect is in the last resort empirical, to the extent that much which happens could not have been predicted in advance." 3. " Scientific biology declares that vital phenomena are chemico-physical in the sense that they are the inevitable out- come of the particular material aggregations which we call organisms." Now whether our knowledge can be regarded as proving the above theses is the subject of the following chapters. We must be very clear as to what is meant by " determinism," " antecedent physical conditions," " cause and effect," and " particular material aggregations." We have really nothing to do with determinism because the concepts that we employ in discussing our results are those of functionality, correlation, and proba- bility. Determinism is a logical category, or perhaps convention, and it is strict only in mathematics, where, since we make the rules, the strictness of result is to be expected. We assume determinism because it is our mental postulate, and also because we find that it works more or less approximately in chemistry and physics, and even in physiology, so that we can construct and use machines and cure some oliseases. But it never works out exactly, and our results always have the form V e, where V is the value we adopt for something or other as the result of experiment, and e is a " probable error." W^e never get a unique biological result from a " given set of antecedents " : thus the bodily characters of an individual animal may surely be regarded as the result of the characters of its ancestry (which are the " antecedents " ; but this individual result is only one of * F. B. Sumner, The American Naturalist, vol. lii., 1919, pp. 193-217;. vol. liii., 1919, pp. 338-369 viii PREFACE a number of such (the combinations of bodily characters of the brothers and sisters of the individual), and all of these combina- tions differ from each other though they have the same antece- dents. Sometimes we say that the individual results " ought to be " the same if only we could experiment or observe with suffi- cient accuracy ; but in saying so, are we not simply dogmatising ? Further, it is said that " vital phenomena are chemico-physical in the sense that they are the inevitable outcome of the par- ticular material aggregations that we call organisms." But they are not " inevitable," and are they the outcome of " material aggregations " ? It is quite certain that it is not material aggre- gations that our method of science observes in nature, but rather space-time coincidences. We do not know about things, but only about relations which are differential equations between dx, dy, dz, and dt, which symbols are, after all, " ghosts " of space and time. No doubt it is very difficult to think in this way, and one naturally leans up against a mentally constructed world of atoms mathematics is so tiresome ! But when we would speculate about the nature of life and so on, we must not lean up against anything, and pur analysis should at least be as penetrating as that of the physicists. On the whole, one prefers the conclusions of some of the latter our knowledge of the world is a knowledge of form and not of content. We know relations only, and the unknown stuff of the world may just as likely be the stuff of our consciousness as something consisting of electrons. Anyhow, life is, after all, mainly an affair of organisms acting individually and as entire, undecomposable entities. It is mind, feeling, perception, memory, emotion, pleasure, pain, and so on. To the vast majority of men and women (to say nothing of all the " lower " animals) these states are life, and it would be very stupid not to recognise that in our philosophy. Tropisms and " concatenated reflexes " and colloids and enzymes, and so on, are all very well in their way, and we have to investigate them if we are to get on in the world, and be comfortable, and live long (quite legitimate objects of scientific research); but are these notions anything else than the terms in our description of how the living (or dead) organism cuts up, so to speak ? Is not this common sense ? If we do recognise that mind and intuition of living are to count in our speculations, what becomes of determinism (and PREFACE ix prediction, which surely goes with determinism if we cannot predict, why say that events are determined) ? For mind and memory and feeling and perception are certainly not measur- able in terms of space and time (despite the Weber-Fechner " psycho-physical law "). So the problems of free-will and necessity and determinism are meaningless when they are con- sidered with reference to the mind, for the very essence of these notions is measurement, and we cannot measure mind. Such, then, are the lines on which the phenomena of life are discussed in this book, and the reader is asked to take the arguments " on their merits," and without conscious clinging to either mechanism or vitalism. Vitalism holds that there is something in the living organism which is not present in an inorganic thing. This may be " spirit," or " soul," or perhaps some hitherto unrecognised " biotic energy- form," or some factor which is not energetic in nature, but which confers direction upon the energy-transformations that occur in the living organism. Most people take one or other of these attitudes; thus some may confess to sympathy with those who would " remove organisms from the domain which includes the stars and precious stones," but may not think that mechanism " exhausts the reality of earth and heavens, still less that of the flower in the crannied wall " ; others like to think that " the sun and moon and all the little stars are a glorious mechanism." Either feeling is, of course, permissible, provided it does not influence our judgment. Also, no one can think about these questions without becom- ing " metaphysical," even if he does not know it. There is no harm in that either, provided that one does it nicely. So I have taken care that anything " transcendental," or otherwise objec- tionable, has been discreetly relegated to the Appendices. J. J. LIVERPOOL, 1921. CONTENTS , CHAPTER I THE NATURE OF ANIMAL LIFE PAGE The organism as a structure Structural differences Structure and function Integration of activities Co-ordination of activities The organism and the State ... -I CHAPTER II THE SENSORI-MOTOR SYSTEM The meaning of organic movement Mobility patterns The sensori- motor system The motor organs The sensory mechanisms The nervous links An example of sensori-motor activity CHAPTER III THE PRINCIPLES OF ENERGY The nature of a material body Modern theories of matter The capacity for doing work Energy The diminution of available energy Energy in the abstract Potential and kinetic energ}' Releasing transformations The principle of becoming - CHAPTER IV THE SOURCES OF ENERGY The inanimate engine The animate engine Digestive process in animals The foodstuffs Absorption and distribution The respiratory interchange The sources of energy The removal of waste Glandular activity - 55 CHAPTER V ON VITAL PRODUCTION Animal metabolism The fate of the proteid residues Plant meta- bolism The balance of life Production and consumption - 76 xii CONTENTS CHAPTER VI BRAIN AND NEEVE PAGE The general scheme The arrangement of the ganglia The spinal cord The brain The development of the nervous system The human brain Connections within the central nervous system 87 CHAPTER VII THE SPECIAL NERVOUS MECHANISMS The sensory mechanisms The motor mechanisms The " simple reflex" mechanism The cranio-spinal reflexes The mechanism of co-ordination Cortical control - 106 CHAPTER VIII THE ANALYSIS OF BEHAVIOUR Stimulus and response in general The lower brain activities Nervous inhibition The cortex cerebri The meaning of behaviour The nervous system as a whole - 130 CHAPTER IX THE MECHANISTIC CONCEPTION OF LIFE The Cartesian mechanism The influence of chemical and physical investigations Modern mechanisms of life - 152 CHAPTER X THE MEANING OF PERCEPTION The nature of sensation Perception The problem of free-will In- determination in acting Memory and habit The " categories of the understanding " Space and time - - 164 CHAPTER XI THE NATURE OF LIFE The laws of thermodynamics The condition of the universe Dysentropic phases in the universe Digression on orders of magnitude and duration The improbability of life in the uni- verse The physical nature of life Life and energy - - 192 APPENDICES I. A .M MA 1-HYSICAL DISCUSSION . 222 I'ACE IN THE MODERN THEORY OF RELATIVITY - - 235 III. THE SUB VI AXILLARY GLAND AN INSTANCE OF ORGANIC FUNCTIONING - 237 INDEX -.--.--- 241 THE MECHANISM OF LIFE CHAPTER I ON THE NATURE OF ANIMAL LIFE The Organism as a Structure. The student of biology usually begins his studies by dissecting the body of a warm- blooded animal; and, first of all, he notices a division of this into well-marked regions: head and neck, trunk, limbs, and perhaps a tail. Then, taking a knife, he slits the skin over a limb and finds beneath it fleshy masses (the muscles) attached to rigid supports (the bones). He sees that the latter are movable on each other by articulations, or joints, and from his general knowledge of the animal in the living state he recognises that bones and muscles are parts that move in ways that depend on the nature of the articulations. Looking more closely, he sees white, glistening threads beginning in the muscles, joining together and passing into the central parts of the body. These are the nerves. There are also two kinds of bloodvessels: one kind which are stiff and white and apparently empty, and another kind which are rather thicker and softer, and which contain blood. The former are arteries, and the latter veins. All these parts bones, muscles, nerves, arteries and veins are wrapped up in a loose kind of material called connective tissue, and this must always be separated in order to disclose the forms of the muscles and other parts, and the ways in which they are joined together. Then, opening the cavities of the body, he discovers the viscera that is, the lungs and heart-, which occupy the cavity of the thoracic region of the trunk and the stomach, liver, alimentary canal, kidneys, digestive glands, and reproductive organs, all of which are contained in the abdominal cavity. Here, too, attentive study shows the existence of bloodvessels and nerves which ramify among the visceral parts. Lastly, breaking open the bones of the skull, he finds a white, 2 ' ITE -MECil-AlSM ' OF LIFE soft mass in the cavity of the head. This is the brain, and further examination shows that it is connected, by means of nerves, with the great sense organs of the head that is, the eyes, ears, nose and tongue but also with a similar mass of nervous tissue lying inside a tubular cavity in the backbone. This is the spinal cord, or marrow. Looking at it more closely, he finds that the spinal cord gives origin to nerves which can be traced out into the muscles of the trunk and limbs, and also into the skin. In short, he finds that the animal body is a structure : a series of parts arranged in a definite way. Structural Differences. Now, extending his study to other examples of the animal kingdom, he finds other structures which are analogous, or similar in a general way, to that which he has already examined. There are, however, very notable differences. The fore and hind limbs of the mammal are replaced by the wings and legs of the bird, or by the little side fins of the fish. He will find that all backboned animals possess these two pairs of limbs in some form or other, but that they may differ remarkably in structure. Examining the animals below the vertebrates, he will find still greater differences: thus there are about twenty pairs of limbs (or appendages) in a crab, shrimp, or lobster, but many more in a centipede, and such a creature as a starfish has apparently no limbs at all (though one speaks about its radial " arms "), but beneath the body he will find some thousands of mobile parts which serve for locomotion, and are known as the " tube- feet." The viscera also vary very strikingly. Thus there are distensible lungs in the quadrupeds, but these are relatively compact and inelastic in the birds, and attached to them are a number of long " air-sacs." There are no lungs at all in the fishes, but he will find gills there, organs which are apparently wanting in the warm-blooded animals. The heart, again, differs greatly in the various kinds of animals; thus it has four chambers in the mammals and birds, three in the frog and some other amphibians, but only two in the fishes. The eyes are large and well- developed in all backboned animals, but quite different in structure in insects and shellfish, like the crab and lobster; different, again, in the cuttlefish, rudimentary in the snail and in most worms, and wanting altogether in such creatures as the oyster, mussel and cockle. Thus the student of comparative anatomy finds very great
.
Kelvin, and Gibbs. Then came the electro-magnetic theory of j
Clerk Maxwell and those who followed him, and, in our own time,
the French and English work on radio-activity and the new physics]
built up by J. J. Thomson, Planck. Einstein, and Nernst. This
latter theory, which is still in the making, is obviously the bridge
that will lead us across the gulf between matter and the physics
of the ether. Apparently, we have yet to find whether or not]
physical science has said the last word in its effort to explain life.
The Laws of Thermo-dynamics. Go back now to our discus-
sion of the laws of thermo-dynamics. The first law, we have seen, '
is really a kind of mental postulate, or convention. We make
up our minds that there is something that is permaiient that can
neither be created nor annihilated in a.11 the changes that occur
in nature. This something we call energy. If it appears to arise
out of nothing, or to vanish into nothing, we simply do not
believe that apparent result, and we proceed to invent poten-
tialities that will account for the appearances or disappearances.
Usually we are successful, and we find that our hypotheses of i
potential energies work, and we are so led to further discoveries.
Then we say that the things we are investigating are real ones,
since they are conserved. Or we may find (when we try to
investigate spooks) that our hypotheses astral bodies, higher
planes of being, telepathy, and the like do not work. They
mislead us. The test of their validity is that they should enable
us to predict, and we find no good evidence that they do so.
Therefore, being useless to us, and rather a nuisance, we say that
the phenomena of spiritualism are unreal.
That is the first law that something is conserved so that the
total quantity of it in our universe remains constant. It is not so
much a physical as an a priori " law," or mode of our mentality.
The second law is quite different, inasmuch as there is nothing
at all a priori about it. It merely describes, in the most com-
prehensive way possible, our experience of the universe. It tells
us how things happen: that water runs downhill; that a red-hot
poker taken from the fire cools down to the temperature of the
room; that a cigarette burns away, leaving behind it some ash,
water vapour, and carbonic acid gas, and evolving heat as it
ON THE NATURE OF LIFE 195
burns. These things seem to us to be so inevitable that we find
it difficult to imagine them happening in the opposite way. It
appears to be ridiculous to think of water running uphill of itself;
of a table rising up of itself from the floor ; of a cold poker becom-
ing red-hot by exposure to the air; or of the ash, the water
vapour, and the carbonic acid combining together (with absorp-
tion of heat) to form a cigarette. But why should not these
things happen ? Puzzle over this, and we find we can give
no reason other than that no one has seen them happen.
Nevertheless, there is no logical reason why they should not
happen, and we can easily imagine them to do so. We can even
picture them or imagine ourselves so situated that they appear
to happen. Take the case of the red-hot poker: it is red-hot
because its molecules are moving so rapidly that their atoms
radiate and so give off visible vibrations. While they glow they
are vibrating much more quickly than are the molecules of air
which come into contact with them, and so they accelerate the
velocity of the latter just as a quickly moving billiard ball would
accelerate the motion of one that is moving less rapidly when the
two collide. There is, therefore, an excess of kinetic energy in
the motions of the molecules of the poker compared with that
in the molecules of the air in the room, and so the excess becomes
levelled down, so to speak. When the poker has cooled to the
room temperature all the energy which it contained is still in
existence, but it is now uniformly distributed between the metal
and the air which came in contact with the latter instead of
being concentrated in the poker.
Imagine that we could actually see the molecules and their
motions, and that we could photograph them so as to make a
kinematographic record. Working the latter, we should then
have a picture of the transfer of molecular motions from the hot
metal to the cold air, but if we were to work the record backward
just the same motions and. molecules would be thrown upon the
screen, but in the reverse order. W^e should first see molecules
of air and metal moving at certain rates in equilibrium with
each other, and we should then see the air molecules begin to
move more slowly and to give up some of their kinetic energy
to the molecules of the poker, which would move more and more
rapidly, until they become red-hot and give off visible radiation.
Or imagine a record of a cigarette smoker to be worked back-
wards ; we should then seem to see the smoke and ash solidify to
196 THE MECHANISM OF LIFE
form the cigarette, and the latter to grow to its original, unlit,
unsmoked size. If the molecules were visible, we should see those
of the ash, the water, the carbonic acid gas, and the particles of
smoke combine together to make up the molecules of the cellulose
of the tobacco and paper. We should see energy taken up from
the air and become concentrated, so to speak, in the glowing
cigarette end, and then pass into the potential, chemical state in
the tobacco and paper.
Or, again, take the famous illustrations of Einstein's theory of
relativity. A man looking down from a stationary balloon
might have seen the explosion of a mine on the Menin Ridge, but
suppose that, during the few seconds of that occurrence, the;
balloon had been moving away from the earth with the velocity
of light; then our observer would have seen nothing happen,
although someone in a stationary balloon would have seen the
earth, stones, smoke, etc., thrown up into the air. Suppose that
the observer had witnessed the explosion from his balloon, and
that the latter had then immediately started to move away from
the earth with a velocity greater than that of light; then he
would (assuming he had a telescope powerful enough) have seen
the whole train of events proceed backwards. Smoke, stones,
dust, and earth would appear to come together from nowhere
and coalesce to form the solid ground.
Apparently, then, there is no logical reason why any physical
change should not go in either direction. Water runs downhill,
but it might run uphill. (Note that we can make it go uphill
by forcing it through a closed pipe, but what we are to imagine is
it running uphill itself. We can spend energy in forcing it up,
and then we find that we have spent more power than can be
recovered by allowing the water to run downhill again and work
a pump.) We can think of, or imagine, or picture, the water
going uphill of itself, and we cannot find any reason why it
should not except that it does not.
In the abstract, therefore, all physical changes are reversible,
but it happens that we are living in an universe in which they
are irreversible. This is our experience, and we can generalise it
in several ways. The most comprehensive way of doing so is to
say that in all things that happen a certain mathematical func-
v tion, called entropy, increases in quantity. What is meant by
entropy we shall explain presently. Note, in the meantime, that
the necessary condition that any phenomenon or physical change
ON THE NATURE OF LIFE 197
may happen in our universe is that there must be available
lergy, and that this must transform into the inavailable form,
[n other words, energy must be concentrated somewhere, and
when a phenomenon occurs it becomes dissipated, or spread out.
Having become dissipated or spread out, nothing more can happen,
for this energy has lost its capacity for doing work. The second
law of thermo-dynamics states that in all natural changes energy IX
becomes dissipated, or entropy increases.
The Condition of the Universe. Next, we must consider this
problem, Is the universe finite or infinite in space and duration ?
Or we may put the question more clearly. If we were able to
travel away from our earth into outer space, like Richter's
Dreamer, should we at length enter regions where there were no
longer any stars ? Or if we could, like Mr. Wells's Time Traveller,
go indefinitely far back into duration, should we come to a time
when there were no earth and stars ? It may seem foolish to
suggest these questions, but, as a matter of fact, we can, pro-
visionally at least, answer the first one. There does seem to be a
limit to the number of stars in the sky, and it seems that these
form a cluster, or galaxy, which is finite. If the numbers of
stars were really infinite, certain consequences would be the
result. If there were no absorption of light by dark cosmic
bodies the night sky would be an uniform blaze of light, and even
if there were absorption of light energy would still be infinite
in some form or other. Such is not the case, and so we conclude
that the stellar universe which radiates energy is a finite one.*
Is its past duration also infinite ? We can easily imagine
ourselves travelling further and further away from the earth
without limit, and passing out at last from the region of stars,
or, more generally, of available energy. But we cannot think of
a time in the past, however remote, when the universe did not
exist, when there was no available energy. For the quantity
of available energy in our universe is decreasing, and in the past
it must have been greater than it now is. Was there a time, then,
when energy came into existence from nothing ? That implies
creation, and, since we hold to the law of conservation as a mode
of our thought, we cannot, therefore, think of a time when the uni-
verse began. We conclude, then, that its past duration is infinite.f
* The theory of relativity helps us here. The universe that we see
is finite, but unbounded. Its form of space is four-dimensional and
spherical. See Appendix II.
t See Appendix II.
198 THE MECHANISM OF LIFE
Now we take the plain result of our experience that available
energy is continually decreasing in quantity (or that the entropy
of the universe is increasing). This is the bed-rock fact of our
experience: that everything that happens depletes the universe
of its store of available energy. " Every energy transformation
that occurs leaves an indelible imprint somewhere on the course
of events in the universe considered as a whole." There was an
original quantity of available energy in our universe, and this
is becoming exhausted as entropy increases. Now this quantity
being finite, and duration being infinite, it follows that the time
must come when there will be no available energy left (entropy
having attained its maximum), and so there must occur a com-
plete cessation of all energy transformations, or phenomena.
But if past time is infinite, why has not this physical death of
the universe already occurred ? No matter how great a lapse
of duration is required, we can still imagine this to be possible.
Here, then, we have our physical impasse. The second law,
solidly based on our experience, says that entropy tends towards
a maximum, when universal happening must cease. Past time
is without limit, so that, no matter how slowly entropy is being
augmented, the maximum ought to be attained. But the uni-
verse is still the locus of energy transformations, so that entropy
has not attained its maximum value.
Obviously the second law cannot be universally true, although
.is true of our experience. Somewhere or other, or at some
time or other in the universe, it must be reversed or evaded.
Now since it is not logically necessary that entropy should always
tend towards a maximum value, we must next enquire under
what circumstances the second law can reverse itself; under
what conditions may water flow uphill of itself, or may heat flow
of itself from a region of lower to a region of higher temperature.
The Reversal o! the Second Law. In order that such an
investigation may be possible we must choose some simple,
mathematically manageable case. Consider, then, the physical
condition of a small volume of some gas, say hydrogen, at
ordinary temperature and barometric pressure; it consists of an
enormous number of molecules which are moving very rapidly.
and so incessantly colliding with each other. It would be rather
like a swarm of midges in the air provided that the insects fl-\v
about in straight lines instead of avoiding each other. In a
volume of hydrogen equal to 1 decilitre (that is, a cube of
nas
^it i
ON THE NATURE OF LIFE 199
rather less than 2 inches along each side), there will be
100x2-705xl0 19 molecules. Each of the latter is moving, but
the velocities are variable within certain limits, and their average
is about 1-65X10 6 cm. per second. No molecule can move very
far without colliding with some other one. and the average free
path of a molecule is about 0-00000182 cm. We may regard
them as small, spherical bodies of about 2-17xlO~ 8 cm. in
diameter. The average velocity of movement depends on the
temperature (or, rather, what we call temperature is the variable
velocity of the molecules; the higher the latter the higher is the
temperature, and vice versa).
Evidently the molecules will be moving in every conceivable
direction, and so they must collide with each other in all sorts of
possible ways. Usually the collisions will take place at some
ansjle to the directions of movement; sometimes a rapidly moving
\ (Z)* * f3*f
\x
FIG. 50. DIAGRAM OF CHANCE COLLISIONS BETWEEN MOLECULES
IN A GAS.
molecule will overtake a more slowly moving one travelling in
the same direction, and sometimes two, which are moving in the
same direction, but towards each other, will collide " end on."
Being perfectly elastic bodies, no energy will be dissipated in
such collisions. After the collision the directions and velocities
will be changed in ways that are easily worked out from the
well-known theorems of mechanics. The reader may easily
construct these results by making use of vector diagrams, such
as those of Fig. 50.
Now by certain mathematical formulae (deduced by Clerk
Maxwell and others from the theorems of probability) the relative
frequencies with which encounters between pairs of molecules
moving in all possible directions, and with all the possible
velocities lying between the upper and lower limits, can be
calculated. An encounter in any possible way (such as in the
Cases 1 to 4 of Fig. 50) is equally likely to occur. But there
200 THE MECHANISM OF LIFE
is one case which is of particular interest to us, that of two
molecules moving end on with the same velocity (Case 4), and
at any moment a certain very small fraction of all the pairs of
molecules must collide in such a way. It is possible that all,
or |, or J, or T ^, and so on, of the total number may collide
end on, but it is much more probable that y^ will collide end
on than will }, and so on.
It is possible, we say, that all the molecules will at the same
moment collide in pairs, and end on, as in Case 4, Fig. 50, and
the probability that this sort of encounter may simultaneously
occur throughout the whole volume of gas can be calculated.
Now, though possible, the chance of this occurrence is almost
incredibly small; small as it is, however, we must consider it in
speculative reasoning.
Imagine now our decilitre of hydrogen enclosed in a box
divided into two equal parts by a partition, and imagine the walls
of the box and the partition to be made of some material abso-
lutely impermeable to heat. Let there be a hole in the partition
closed by a valve which is also a non-conductor of heat. Let
the gas in the right-hand side have a temperature of 20 C., and
that on the left-hand side a temperature of 10 C.
In such a case the system contains available energy. There is
the same mass of gas in either division, but that on the right has
a temperature of 20 C., and so its pressure is higher than the gas
in the other division. If the valve is now opened the gas at
high pressure will rush through the aperture, and it can do work
(say, by turning a small propeller) while the pressure is being
equalised. But when the latter condition has been attained
the system, in itself, can do no more work. Its total energy is
still the same, but there is no difference in intensity, and so no
transformation (with regard to pressure change) can occur.*
Consider, also, what happens while the temperatures and
pressures are being equalised. The gas in the right-hand division
is at a temperature 20 C., and contains a certain quantity of
heat, Q'. After the transformation has occurred, the whole mass
of gas attains the average temperature 15 C., because Q units
of heat have now flowed from a region originally at 20 C. to a
region originally at 10 C. Now replace ordinary temperatures
by absolute ones that is, add 273 C. to each of the former;
* For simplicity we neglect here the conditions under which the trans-
formation must occur to render the calculation that follows applicable.
ON THE NATURE OF LIFE 201
Q units of heat, then, have flowed from a mass at 293 (or 273+20)
to another mass at 283 C. (or 273+10). When heat flows from
a body at high temperature to another body at low temperature,
the entropy of the former is diminished and that of the latter is
increased. Change of entropy is measured by the simple ex-
pression -, Q being the quantity oJ^e^^wMcluDJBes-aiid JT_
being the absolute temperature_. The entropy of the gas at 293
is therefore diminished by the amount
293
But at the same time a mass of gas. originally at 10 C. (or
283 Abs.) becomes raised in temperature to 15 C. (or 288 Abs.)
as the result of Q units of heat entering it, and so we get the
change due to the receipt of Q units of heat by the colder gas as
. Now the total entropy change due to the Q units of heat
288
lost by the hot gas, and the Q units gained by the cold gas is
+ - . Obviously this expression is positive, and so we
get our result that entropy increases as the result of the mixture
of a hot with a cold gas.
Let, then, all this occur in the case of our specified decilitre
of hydrogen. The mixture of gases takes place in a few seconds,
and the resulting gas, at a temperature of 15 C., is stable and
homogeneous as regards temperature. No further work (with
regard to its temperature) can be done by it.
But while that is the case, it is still possible that the state of
all the molecules in the gas may become such that at a given
moment the latter become disposed, purely by " chance," in pairs,
the members of which are approaching each other with equal
velocity in the same straight line. When they collide their
velocities will be the same as before, but the directions in which
all the molecules are moving will become simultaneously reversed.
A very important result flows from this. It can be shown
(though the proof cannot be given here) that when every mole-
cule completely reverses its direction of motion, the velocity
remaining the same, the gas will retrace its past history. That
means that the total quantity of gas at a temperature of 15 C.
(or 288 Abs.) will separate into two portions one at a tem-
perature of 10 (or 283 Abs.), and the other at a temperature of
20 C. (or 293 Abs.). Therefore Q units of heat will flow from
202 THE MECHANISM OF LIFE
a region of 288 to a region at 293, and entropy will decrease
by the amount . At the same time Q units of heat will enter
288
a region at a temperature of 293, and entropy will increase by
the amount . Therefore the total change is }-- , and
293 288 293
obviously this expression is negative. Now we get the result
that when, by reason of the reversal of the direction of motion
of all the molecules of the gas, the latter segregates into regions
at different temperatures entropy decreases.
We have now obtained a result of considerable interest. It
has been shown that it is theoretically possible that a gas origi-
nally at an uniform temperature can, of itself, separate into two
equal portions, one of which is at a higher temperature than is
the other. Heat can flow of itself from a region of lower to a
region of higher temperature. A gas which in virtue of its
temperature alone possesses no available energy can pass, of
itself, into a condition in which it does possess available energy.
A system can, of itself, decrease its entropy. All this is very
surprising, for these statements mean the same thing that is
expressed by saying that water can, of itself, flow uphill !
They mean that we can state the second law of thermo-
dynamics as follows: The entropy of the universe may tend to
a maximum or a minimum.
But we must consider the probability of this reversal of the
sign of the second law of thermo-dynamics, for our results merely
give a theoretical possibility. The condition that it may occur
in such a case as we have investigated above is that at the same
moment all the molecules of the gas are arranged in pairs, and
the members of each pair are approaching each other end on and
with the same velocities. Now this condition is only one of an
incredibly great number that may exist in the gas, and the
probability that it may exist is the ratio, unity to a very large
numerical value. Perhaps the reader will best appreciate what
is this probability if we put it in Boltzmann's own way. In order
that we may observe this reversal of the second law in a decilitre
of gas, we might have to wait for a number of centuries repre-
sented by unity followed by 10,000 millions of zeros ! It is as
probable that it may occur as it is probable that every house in
London may catch fire accidentally and independently of all the
others on the same day, or that every grown-up person in London
ON THE NATURE OF LIFE 203
may commit suicide (also indepeadently of all the others) on the
same day. Now an insurance company taking risks of houses
being burned down by accident, or of people committing suicide,
calculates its possible liability from the application of the
theorems of probability, and it would safely ignore such risks as
those we have just mentioned.
The latter are incredibly small. The chance that a decilitre
of gas will separate into two portions of different temperature is
also incredibly small, but it is not zero. In the ordinary affairs
of life we neglect small risks, and say they are " practically zero,"
or " infinitesimal," but when we apply such chances in specula-
tions concerning the origin and fate of the universe we must not
dismiss them unless we are sure that they are really insignificant
in the conditions. Now we are not going to extend Boltzmann's
results obtained from a study of the kinetic theory of gases to
the whole universe that is, we must not suppose that a reversal
of the second law depends on the collision end on of every mole-
cule. All that we suggest is that it is possible in some way
other that entropy may decrease in our universe instead of
increasing. This is a logical possibility, and, given certain
arbitrary conditions in a very limited system, it is a probability,
the numerical value of which can be estimated. Further, we are
compelled to postulate that somewhere or other, or some time
or other, the second law of thermo-dynamics must reverse itself
that is, some time or somewhere entropy must decrease, or have
decreased, in our universe, otherwise we shall be compelled (as
Sir William Thomson was) to postulate a beginning, or creation.
Disentropic Phases in the Universe. Neglecting, in the mean-
time, the numerical value of the probability that entropy may
decrease (or that unavailable universal energy may become
available), we. may now proceed to consider the possible history
of our universe, taking as our " conceptual model " the changes
that occur in a small volume of gas left to itself. In the latter,
then, incredibly great periods of time may pass, and during these
the molecules of our gas are moving and colliding in a haphazard
fashion. Nothing happens in the system considered as a whole;
it does no work, although the total quantity of energy contained
in it is conserved. But some time or other, if we wait long
enough, the system changes, and its original, segregated condition
becomes restored. This condition in which the gas system
contains available energy and can do work lasts for an in-
204 THE MECHANISM OF LIFE
finitesimal period of time, and the " normal " condition of
maximum entropy is again attained.
The visible universe that is, our galactic system of radiating
stars has, we have reasons for believing, definite boundaries.
If we could travel out from our sun in any direction for about
30,000 light years* (that is, 30,000x365x24x60x60 seconds X
186,000 miles) it is possible that we should reach those boun-
daries. But beyond this we can still imagine ourselves travelling
on indefinitely far.f In this outer space there would, however,
be no radiating cosmic bodies, though we might suppose that
there are dark, cold suns and satellites, and cold, cosmic dust.
Then, after incredibly further voyaging, we might encounter
other galactic universes. This means that our picture of the
entire universe is one in which the normal condition is physical
death the complete cessation of all happening entropy having
attained its maximum. But here and there in the whole uni-
verse, and occupying regions that are of infinitesimal extent,
there are individual universes, of which our galactic system is
one. The normal condition of the entire scheme of things is
that to which we see all physical changes tending, the complete
dissipation of energy. But now and then, and for periods of
time that are infinitesimal in duration, infinitesimally small
regions of the entire universe blaze up, so to speak, the second
law becoming reversed and entropy becoming decreased. After
this has occurred, the individual universe then much more
slowly sinks back again to the normal condition that in which
entropy tends slowly towards its maximum and to which physical
death is the limit. The universe, then, in which we are living
is an incredibly small fraction of all that exists, and its genesis
as an individual, physically active universe was an occurrence
essentially similar to that of our gas model. Some time in the
past the second law became reversed, and available energy was
restored. Then this became slowly dissipated, so that the phase
in which we are living is the more probable one that which
tends always towards complete degradation of energy.
In this way we avoid the physical impasse to which we are
brought when we assume the universal validity of the first and
second laws of thermo-dynamics. Our whole universe becomes a
* A light-year is about six billions of miles.
f Not on the theory of relativity. We cannot go beyond the boundary
of the universe, for outside the latter there is no space. See Appendix II.
ON THE NATURE OF LIFE 205
cyclic order, such that the most probable phases are those in
which entropy tends towards its maximum value, and the least
probable ones are those in which entropy tends towards its
minimum value. As such it is a permanent universe, self-
sufficient, without beginning and without end. Throughout its
greater extent nothing happens, and this condition we call the
normal one. Here and there, however, and for infinitesimally
small periods of duration, there is physical activity, and this
condition we call the abnormal one. The probability that any-
where and at any time there is such physical activity is of the
same order of magnitude as that calculated by Boltzmann for
the reversal of direction of motion of all the molecules contained
in a small volume of gas.
A Digression on Orders of Magnitude and Duration. The
principal difficulty in appreciating the force of such an argument
as the above one lies in the reluctance with which we apprehend
extremely small and extremely large magnitudes. We refer all
measures, space, and time to those spatial and temporal values
that limit our bodily activities, and if something is very great
compared with these we are apt to say that it is " infinite,"
while if it is very small we say that it is " practically zero."
Now a magnitude that we can estimate is always finite, no
matter how big or how small it may be, and greatness and small-
ness are always relative to something or other. The same
magnitude may be extremely small compared with some other
one, but extremely great when compared with yet another.
Thus the radius of the earth (4,000 miles) is to us a fairly familiar
magnitude, being a distance that we might traverse during a
few weeks by means of a steamship. A micron, however that
is> TTiVo millimetre, the microscopist's unit of length is a
magnitude that is about I/ 6378X10 8 of the earth's radius, and
we may call it an infinitesimal of the first order of smallness.*
But, again, a molecule of hydrogen is about 2-17X10' 8 mm.
in diameter, so that it is an infinitesimal of the first order when
compared with a micron, but of the second order when compared
with the radius of the earth. f Starting now with our standard
magnitude that is, the earth's radius we may compare it with
others that are " infinitely great "; thus it is about one-millionth
* It is about i -billionth part of the earth's radius.
2-17
t 2-17 x 10 - 9 mm. = mm., say 1 thousand millionth mm.
206 THE MECHANISM OF LIFE
of the radius of the orbit of Neptune that is, the limit of our
solar system and so it is itself an infinitesimal. But the diameter
of the solar system is also an infinitesimal when compared with
the distance of the nearest fixed star (about 3J light years, or
3-25x6 billions of miles). Now let the reader calculate for him-
self this series of magnitudes in terms of the same unit (say a
kilometre), and he ought to have little difficulty in seeing that
any one, however small or great, may have significance with
regard to some other one.
Consider now intervals of time. It is said that an ordinary
person can easily realise, or feel, the lapse of duration represented
by A second of astronomical time, and certainly one second may
in some circumstances be a rather prolonged period. Now,
A second is about r roWv~ i niUu n rth of an ordinary lifetime (that
is, it is about 10 ~ n lifetime), and thus, with respect to the lapse
of duration which we may call the standard one, 5 V second is an
infinitesimal of the first order. But in looking at a red light for
that length of time we receive some 400 billions of ether vibrations
of a certain length that is to say, 4xl0 14 separate events or
things that actually happen. One of these events, therefore, has
a duration of 2 X 10 ~ 10 seconds, and this we call an infinitesimal
of the second order with respect to the lapse of a lifetime.
Probably life itself has existed on the earth for 1,000 million
years, so that even a very long lifetime is only about Vo -millionth
of the whole life-period of the globe. But the latter (10 7 years)
must itself be only an infinitesimal fraction of the period of time
during which our solar system has been in existence.
The Meaning of Duration. For men and women this period
of gV second of astronomical time is to be regarded as an unitary
lapse of duration: it is the smallest period for which one may
exist as a conscious, sentient being. While it passes, a star
moves through an arc of about 1-5 seconds that is, a shift in
the sky which can easily be measured by refined astronomical
methods. In looking at red light for the same period one
gathers up into perception some 400 billions of ether vibrations,
each of which has a wave-length of 8xlO~ 4 cm. In listening
to the note on the piano which is three octaves above the middle
C one combines together about forty-one separate vibrations of
the atmosphere to make a sound of a certain quality. Our
rhythm of duration (in Bergson's phrase) is therefore such that
we synthesise these motions, or changes, to make unitary,
ON THE NATURE OF LIFE 207
individualised perceptions. We see the motion of the star through
1 -5 seconds of arc, we see light of a particular colour, and hear
sound of a particular pitch. Each of these perceptions is there-
fore a synthesis of external events effected during the same small
fraction of an individual lifetime. Our sensory mechanisms are
such that we can make these syntheses, but not some others ; thus
there are ether vibrations which are less rapid than those corre-
sponding to the red of the spectrum, but we cannot see them,
though we can feel them as heat. Below these, again, are others
which are much slower, and which we can neither see as light nor
feel as heat, though we can detect them by the receiver of a wire-
less telegraphic apparatus. Above the violet of the spectrum are
vibrations which are so rapid that we cannot see them, though we
can make them act upon a photographic plate. Other animals are
certainly different from what we are in respect of these matters;
thus a dog can certainly see light of lower wave-length than we can, V
and some insects can hear sounds which are too acute for our ears.
The reader will easily see, then, that rhythm of duration varies.
Obviously it varies even in ourselves ; thus the familiar experience
that time passes more quickly when one is fifty years old than
when one is ten means that the later ones have fewer events in
them that is, the periods of our duration which correspond
with a revolution of the earth round the sun do not gather up so
much of other external events when one is old as when one is
young. To say that young people have a " fuller " life is not
figurative, but is strictly scientific language.
Now think of how the rhythm of duration varies in different
animals. It is probable that the imagines (the fully meta-
morphosed insects) of some species of Ephemerida3 which live
for only a few hours can appreciate, or feel as distinct lapses of
duration, very much smaller intervals of astronomical time than
we do. Suppose, for instance, that a period of ^STTOOTJZF second
can be felt by them (in which period they would still receive
some 8,000 millions of vibrations when looking at red light) ; then
their lifetime of a few hours would contain as much (that is, have
the same duration) as ours of seventy years. Suppose, again,
that some very long-lived animals, such as crocodiles, have
unitary periods of duration that are much greater than ours;
then their lives would be no longer, for they would contain no
more. Note, however, that in such cases the universes con-
structed from perception would be different ones.
208 THE MECHANISM OF LIFE
Carry such speculations to their limits. Imagine minds which,
just as we synthesise in perception billions of ether vibrations to
make visible radiation, might synthesise hundreds of lunar
revolutions or solar ones in a single perception. Or in such a
mind all the changes that make up the origin, growth, and dot-ay
of a solar system might be gathered up as a single perception.
As the rhythm of duration thus successively slows down the
existence in tune (with respect to astronomical, periodic events)
would become more and more prolonged, and in the limit it
would be without end, or immortal. But note that for such an
immortal mind all the details of the universe, and its changes,
that exist for us would be unknown, inasmuch as they would be
synthesised in other perceptions which can have no meaning for us.
To summarise, then, the very important results that we have
now obtained:
If we regard the laws of conservation of energy and augmenta-
tion of entropy as of universal validity, we come to an impasse.
For the latter law tells us that the changes that occur in the
universe tend towards absolute degradation of energy, and there-
fore towards cessation of all physical phenomena. But since there
can be no limit to past tune, this ultimate degradation ought to
have already occurred, and we know that it has not occurred.
Therefore the second law is not of universal application. AVe
must postulate that it may be reversed, so that, in certain circum-
stances, energy that has become unavailable may again become
available. In other words, we are compelled to think about the
universe that we know as a mechanism that has been started, and
is now running down. There must be some means of winding it up.
We can imagine no logical reason why unavailable energy
should not pass into the available foim; all that we can say is
that, in our experience, this transformation does not occur.
Then, since absolute reliance upon our experience of the universe
brings us to an impasse, we must conclude that this experience
cannot be inclusive of all that happens.
There must be two directions taken by energy transformations.
In one of these energy is continually degraded and entropy
becomes augmented. That such changes occur is highly probable
so probable that we know by actual observation of no other
direction of change. In the other direction available energy
becomes restored, and entropy diminishes. That these changes
ON THE NATURE OF LIFE 209
occur is highly improbable so improbable that we have no
experience of them, though we can imagine them occurring.
This means that, in addition to the physics that we know,
another and a transcendental physics is conceivable.
The Improbability of Life in the Universe. It follows from
what has been said that it is extremely improbable that any-
where in the entire universe energy is available for the production
of physical phenomena. It is easy to show that such is the
condition that we know, and that even in OUT individual, galactic
universe, where an initial store of energy is exhausting itself,
this availability is improbable.
If we were able to travel away from the sun in every direction-
and with the speed of light, we should reach the boundaries of
our solar system in about four hours. Then we should travel
outwards into cosmic space for over three years and a quarter
before coming to the nearest fixed star. This sphere of space,
containing only our solar system (so far as we know), is not,
however, empty, but is " full " of ether. The latter is the
" substance " of all energetic changes, but we must regard it as
inert, or physically inactive. Nothing happens in it of itself.
It can be temporarily strained or modified in some way, as when
potential energy is locked up in it, or withdrawn from it, or
when radiant gravity or gravitational energy is transmitted
across it. It is permanently modified in localised regions as
physical gravitating matter, which may or may not be the locus
of energy transformations. We must think about it as some-
thing real, but physically dead or inert. What fraction of this
universal substance is, then, physically active ?
Calculating the volume of this sphere of three and a half light
years in radius, we find that it is about 240 X 10 35 cubic miles. In
it practically the only cosmic body that contains available energy
is our sun, and this has a diameter of (say) 870,000 miles. Find-
ing its volume, we get the value 15X10 16 cubic miles. It is
now easy to find that our sun occupies about 1/2 X 10 21 th of the
part of the stellar universe that we have in imagination ex-
plored. The probability, then, that we should find physical
activity anywhere in the region of space within three and a half
light years from our sun is something like 1 in 2,000 trillions.
Now consider the probability that living matter exists in this
physically active fraction of the cosmic space which immediately
surrounds'us. We can hardly think of it as existent in our sun,
14
210 THE MECHANISM OF LIFE
nor in most of the planets that surround the latter (unless we
extend the definition of life in a way that we do not contemplate
just yet). Even upon our own earth living substance forms only
a surface film of incredible tenuity when compared with the
dimensions of the planet. It is probably most dense in shallow
seas near the land, but even there the mass of organised matter
is only a few parts per million of water. In oceanic regions, both
at the surface and in the depths, the density of life is much less, i
and on the land (when we take account of polar, mountainous, and
desert areas) the density is still less. All that is, of course, only
the surface of our planet ; in its depths life is very nearly absent.
From the idealistic standpoint life (in strictness, our own life,
or mind) is all that is, for the universe and all the things that
science places there are only mental constructions.
Man, says Pascal, is only a reed, but he is a thinking reed.
He is among the least and most fragile of things. But he is also,
among the greatest of things ; he is, indeed, greater than all other
things, for he can comprehend the universe.
Life is like Pascal's reed. Anywhere in the universe it is
highly improbable that energy exists in such a form as to givej
rise to physical changes. Even in this fraction of the universe,]
where there is physical change it is also highly improbable that
among these activities there are some that exhibit what we call
the phenomena of life. In other words, the chance that life exists
anywhere in our universe is an infinitesimal of the second order,
The Physical Nature of Life. If we would try to explain life
we must, first of all, be very clear about what we mean by anj
" explanation." Consider the motions of the bodies that make
up our solar system: the planets revolve round a central sun in
elliptical orbits, and the satellites revolve round the planets ; thd
sun, planets, and satellites rotate on their own axes, and that
latter process, or rotate, while still retaining their inclination to
the plane of the ecliptic; the ellipticity of each orbit clumps
periodically; the various bodies " nutate " ; each of them perturb^
all the others, and so on through a host of motions. To describe
all the latter would be very difficult, and the description would
be very hard to understand for anyone who is not an astronomer.
But assume that each body has a certain mass, that it had aj
certain initial velocity, and that it attracts every other body with
a force that depends on the various masses and on the squared
of the distances between the bodies. Then all the motions can
ON THE NATURE OF LIFE 211
be seen to be consequences of the assumptions that we have just
made.
We start with certain very simple concepts, mass and time
and space and the law of gravitation, which is a relation between
mass and space and time. Given these concepts and a know-
ledge of the velocities of the various bodies, and we can then
deduce all their movements, present, past, and future. Every-
thing that happens in the motions of the solar system happens
because the various bodies have mass and attract each other in
a certain way. Therefore we " explain " these very complicated
movements by the concepts of mass and gravitation. The latter
are simple or irreducible that is, we cannot (so far) explain them
by supposing them to be the consequences of something still
simpler and more general than mass and gravity.
Knowing the positions of the planetary bodies at any moment,
as well as their velocities, knowing also their masses and assum-
ing that the law of gravitation holds good in all circumstances,
we can then find what will be their positions at any future time
and what were their positions at any past time. These pre-
dictions and retrospects generally are successful, and when they
fail (as they do in rare instances) astronomers assume other simple
concepts (as in the theory of relativity), and then their calcula-
tions work out true to what can be observed. Thus we have a
planetary theory, which is the explanation of a host of complex
events by a very simple hypothesis that the cosmic bodies have /
mass and attract each other. This theory is verified, inasmuch
as it enables us successfully to predict forwards or backwards.
Now if we had a theory of life we should also have certain very
simple, irreducible concepts, and it would be the case that all
organic phenomena growth, reproduction, assimilation, ex-
cretion, behaviour, adaptation, evolution, and so on would be
the inevitable consequences of these fundamental concepts, just
as solar and lunar eclipses, tides, seasons, etc., are the inevitable
consequences of the ways in which the heavenly bodies move,
which are, again, the consequences of the law of gravitation.
Knowing these fundamental factors, we should be able to
" explain " life. We should be able to say what an animal will
do at any future time, and what it did at any past time. We
ought to be able to trace out the past history of the species to
which it belongs, as well as its future evolutionary history, just
because we know what the animal now is and what are the
concepts by means of which we " explain " its activities.
212 THE MECHANISM OF LIFE
Now we cannot do any of these things. We cannot predict
what an individual man or woman will do at any time in the i
future, though we can sometimes say what a population will do.
(The reader must note this distinction between individual and
statistical effects; it is most important in speculative reasoning.)
We cannot say, merely from a knowledge of its structure and
behaviour, what was the past of the species to which an animal
/ , belongs, and what is going to be its future. Let there be no
misunderstanding here: we do know a great deal about the j
phylogenies (or lines of descent) of some races of animals, but
that is because these evolutionary careers have left historical
records. Thus we know (or at least we believe) that the existing
one-toed horse has descended from a three-toed species which
had, in its turn, come down from a five-toed form, but this is
because we have fossil remains of the three- and five-toed horses,
because the living animal has vestiges of the second and fourth
toes, while the skeleton of the three-toed horse has vestiges of the
first and fifth digits. Evolutionary careers have therefore left
records in the form of fossil remains and vestigial structures, and
we are sometimes successful in reading these and so in tracing
out a line of descent. Obviously our success is not due to any
process of true deduction from a few fundamental concepts, as i
is the astronomer's when he calculates backwards to find when
eclipses occurred. Eclipses leave no records on the faces of sun,
moon, and earth like the evolution of the horse has done.
And so the astronomer can calculate forward or predict, while
the biologist cannot do so, since the successes of the latter depend
upon records which cannot exist in the cases of events which
have not yet happened. Therefore we cannot predict what will
be the future evolutionary history of the horse or of any other
race of existing animals or at least no biologist has yet risked
his reputation by making such an attempt !
Now we may as well admit that this argument may not appear
to possess much force in itself. It may be that biology cannot
predict (and so supply the necessary test of the validity of its
theories) just because it has not yet attained the necessary
knowledge. No doubt Copernicus could not have predicted the
times at which equinoctial spring tides would occur at any
particular place in the North Sea, for his knowledge of planetary
theory was imperfect, and he had not obtained the concept of
gravitation. So it may be that biology cannot yet predict just
ON THE NATURE OF LIFE 213
because its knowledge is incomplete and its concepts are not yet
formulated. This latter conclusion is, however, all that we seek to
make here biology, not having attained the concepts that will
enable it successfully to predict, has not yet been " explained."
Now let the reader refer back to our discussions of Chapter VIII.
It is very clear that organic behaviour (in the cases of the higher
animals, at all events) is indeterminate: it cannot be predicted.
When anyone says that physical determinism must hold in organic
as well as in inorganic functioning, he means that it ought to
hold because the concepts by means of which we " explain " life
ought to be the same as those by which we explain inorganic
happening. It may be that they are the same, and that by-and-
by biological predictions will be successful; but the plain fact is
that, so far as we know, much of the behaviour of the higher
animal is spontaneous, and cannot be predicted, while no satis-
factory logical proof can be given of determinism in its application
to organic acting.
We are not going to argue here that, because physiological
investigation discloses no activities in the animal body other than
physical and chemical ones, organic happening is necessarily the
same thing as inorganic happening. It is quite true that the
physiologist finds nothing in the functioning of an organ but
physical and chemical reactions, for, because of his methods, these
are all that he could possibly expect to find. When he studies the
submaxillary gland, say, he finds that a saliva, a liquid of a
certain chemical composition, is secreted and poured into the
mouth. He finds that this secretion occurs when food has
entered the mouth, and when the nerve endings there have been
stimulated chemically by the substances of the foodstuff. A
reflex occurs and the gland functions. The nature and abund-
ance of the saliva depend on various factors blood-pressure,
osmosis, hydrostatic pressure, chemical reactions in the cells,
etc. and investigation has taught us very much as to the ways
in which these various factors act. We have dealt in some detail
with this typical example of animal activity in the Appendix,
and we may leave the reader to study it further in the textbooks.
He will see, however, that all that has been obtained by in-
vestigation is a description of the manner of functioning of the
gland; there are nervous impulses, changes in the calibre of the
bloodvessels, changes in the pressure of the circulating blood,
changes in the pressure of the salivary liquid contained in the duct
214 THE MECHANISM OF LIFE
of the gland, osmotic changes, chemical reactions, and so on. These
tilings do not explain the secretion of saliva : they only describe it.
An explanation would place beneath blood-pressure, chemical
reactions, etc., some simple irreducible concepts, just as in the
planetary theory we place beneath the complex motions of planets
and satellites (which correspond logically to the molecular move-
ments occurring in the tissues of the gland) the law of gravitation.
It is, perhaps, not easy for the non-professional reader to
appreciate this point. It seems natural to suppose that, because
chemical and physical reactions are all that we can study scien-
tifically in the living animal body, these things explain life. They
only describe life: they are the physical expressions of the activities
of the organism. Investigation itself is not primarily speculative,
but is rather something useful. Just as the submaxillary gland
and all the other parts of the body that enable it to act
function so as to produce a liquid that digests certain foodstuffs,
so the mental mechanism that we call the categories of the under-
standing functions so as to do something that (like the production
of a ferment) is useful to the organism. In the higher races of
man it has become speculative also, but even there it is pre-
dominantly practical, and (as Bergson shows) is therefore
hampered when its aims are purely speculative.
Let the reader reflect on all this, and he will certainly see that
physiology has never explained life activities, but has only
described them, and that indeed is the glory of the science, for
the description has given us (or will yet give us) the mastery over
inimical nature. Let him examine the attitude of the " ordi-
nary " man that is (say), some nine-tenths of all those who are
capable by prolonged study of following the methods and TOM ills
of scientific investigation. This ordinary man will almost
certainly ask, What is it for? He will expect that investiga-
tion ought to have some useful result, and he will probably be
unable to conceal his disappointment (or even contempt) when
he learns that the result is only an increase in abstract knowledge !
Life activity therefore expresses itself in physical and chemical
phenomena, but physical and chemical reactions do not " ex-j
plain " life that is the result to which we seem to be led.
Life and Energy. In seeking for the explanation we Lave,
therefore, to find some concept which will be special to the'
phenomena which we call vital ones, and which need not be
required when we investigate and explain inorganic happenings.
ON THE NATURE OF LIFE 215
It must have the " property " of reality that is, it must not be
in contradiction to the law of conservation for it is to be a
means of investigation. Thus we are compelled to reject any of
those concepts upon which the theories of spooks are based. It
must work that is, it must lead to the discovery of further
workable results or hypotheses and it must therefore avoid the
reproach (addressed originally by Bacon to certain philosophies),
and extended to Driesch's " psychoids " by a well-known
cytologist,- that it is like the vestal virgins, dedicated to God
and barren ! Now it ought to be clear to the reader at this stage
in what direction we are seeking for our concept. We have
throughout this book kept the notion of energy in the forefront
in order that we might lead up to our thesis that the concept \
which is special to the organism is one which involves the reversal v
of the second law of thermo-dynamics. We must not be troubled
by the strangeness of such a concept or by the appearance of
paradox that goes with it. It is not more strange than some
notions in mathematics that have, nevertheless, been fruitful of
result than, for instances, the non-Euclidean postulate that more
than one line can be drawn through a point and still be parallel
to some other line not going through the point ; that the sum of
the angles of a triangle may be less than two right angles ; that
a negative number may have a square root. The test is that,
like the notions just given as instances, ours shall have pragmatic
value may work.
So, again, we contrast the inorganic and organic physico-
chemical systems.
In the former, anything at all that happens of itself happens
because energy transformations take a certain direction. This
direction is that which leads to a decrease of the differences of
intensity in different parts of the system. Available energy is
concentrated in this part of the system rather than that, and if
it can be levelled down, so to speak, something will happen. If
it cannot be levelled down, being equally distributed everywhere,
nothing will happen. If water is accumulated in a reservoir at
a higher level than that in a lake, it can flow down into the latter,
turn a mill-wheel as it flows, and so produce various phenomena.
If it is all contained in the lake, if there is no difference of level,
there can be no flow, and no energy available for the production
of physical phenomena.
This, then, is the concept by which we " explain " the fact that
216 THE MECHANISM OF LIFE
physical phenomena do occur; there are in the universe
differences of intensity of energy, and these differences tend, of
themselves, to become levelled down. As the process of reduc-
tion of intensity difference takes place, energy transformations
occur and entropy increases. But, as we have seen, the concept
of the second law proves inadequate as an explanation in the
universal sense, and we are compelled, even in the treatment of
inorganic, cosmic systems, to postulate another concept, that of
the second law of thermo-dynamics reversed in sign. Somewhere
or some time entropy must decrease instead of increasing.
If this reversal were to happen, the results would be unex-
pected, fantastic, and paradoxical. But a physicist would not
be incredulous. He would, probably, seek to be very sure that
lie was not mistaken, and that his observations were trust-
/ worthy; then, having satisfied himself upon these points, he
would accept the result. But, as a matter of fact, the reversal
does not occur, and every energy transformation that the physi-
cists and chemists can observe and investigate happen because,
in this part of the universe known to us, entropy always tends to
increase. Therefore the concept which he utilises in order to
explain physical happenings is this energy differences tend, of
themselves, to become abolished.
Now it is quite clear that this concept (which is, of course, only
another way of stating the second law) does not fully explain
organic happening, for in such processes energy differences do
not tend, of themselves, to become abolished. Again, we must
be very precise in our statement of this result; we do not mean
to say that the animal physico-chemical system, or body, does
not " obey " the second law. We recall here the caution sug-
gested in the first part of Chapter II., that we must not seek for
absolute distinctions anywhere in nature, since these are logical
constructions only. There are no such things as mathematical
points, straight lines, or planes, for the points and lines and
planes which we observe and measure are only approximations.
Let a very small spot become smaller and smaller, and " in the
limit " it becomes a mathematical point, and so on. Logically,
then, we can construct a conceptual world in which there are
absolute distinctions between inorganic and organic, and between
processes which tend to entropy increase and others which tend
to entropy decrease, but wJuit we do actually observe are only the
tendencies which, in reasoning, we carry towards their limits.
ON THE NATURE OF LIFE 217
In the activities of life as a whole, what we observe, then, is
the tendency for the perpetuation of differences of energy
intensity. In purely physical happenings energy tends to
become unavailable, but organic changes set themselves against
this tendency. When sunlight falls upon desert sand, rocks,
raw soil, and upon the surface of the sea, its energy of radiation
transforms into heat. Sand and stones become warm, and when
the sunlight is withdrawn this heat becomes radiated away into
outer space, is dissipated, and is, for us at least, for ever irre-
coverable. When it falls on the surface of the sea it heats up
the water, which then evaporates, rises up into the atmosphere,
is distributed in winds, and is precipitated in rain, etc., returning
ultimately to the ocean from which it came. In these changes
the motions of the winds and water become transformed by
friction into waste heat, which, as before, is radiated away and
lost. Sunlight, which is energy of high intensity, thus, of itself,
becomes degraded or levelled down, entropy increasing in all the
transformations that occur.
Let, however,the sunlight fall upon green vegetation, and some-
thing very different occurs. Its energy transforms into chemical
changes, as the result of which water and carbonic acid (sub-
stances which are fully degraded and have no free or available
energy) become combined together, with increase of available
energy, to form carbohydrate. Trace the entropy change, and it
will be found that this is positive, and has a certain value when
solar radiation transforms wholly into waste, low-temperature
heat. Trace it again when sunlight is absorbed by the green
plant and transforms into the potential chemical energy of
carbohydrate, and it will be found that the increase of entropy
is now much less than it was. In the first case the solar energy
is for ever lost to this world, but in the second it becomes fixed, or
stored up, as the chemical energy of wood, vegetation, oil, or coal.
Vegetable life (that is, the predominant form in which life
exists on our world), then, has for its tendency the storing up of
available chemical energy. The latter becomes locked up, so
to speak, in the form of starches, celluloses, proteids, and oils of
fruits, seeds, woody tissues, etc. The vegetative processes of
reproduction are the most powerful in the animate world, so that
on every available place on the surface of the earth, in swamps
and in the shallow water of seas and lakes and ponds, plant life
spreads and accumulates to the greatest extent possible. Even
218 THE MECHANISM OF LIFE
when, by reason of overcrowding and the absence of the neces-
sary mineral food substances, this continued multiplication is no
longer possible, dead vegetable substance in the form of woody
tissues, mould, seeds, leaves, oil, etc., accumulate and form
deposits of material of high calorific value. Some of these, in
the form of coal, and perhaps oil, remain throughout long periods
of geological time in a permanent, utilisable form.
The fraction of the solar energy that is absorbed by green
plants, and is afterwards dissipated as waste, irrecoverable heat,
is very small. For these organisms are, in general, immobile,
and so their energy is not transformed into mechanical work,
which would become dissipated by friction into waste, low-
temperature heat. But in the animal the latter kinds of energy
transformations occur to a far greater extent than they do
among the plants. The animal is characteristically a machine
for the conversion of potential chemical energy into movement
of body and limbs, and this movement inevitably leads to friction,
and thus transforms into heat which becomes dissipated. Here
we are not considering the processes of reproduction ; if we were,
we should see that the tendency is, even in the animal kingdom,
for the indefinite multiplication of every species, and for the
distribution of the individuals over as wide an area of the surface
of the earth as possible. All animals, even the most slowly
breeding ones, are enormously prolific, and there seems to be no
limit to the numbers to which species may theoretically attain.
There is, of course, a practical limit which depends upon the
quantity of vegetable food substance available, which depends
again upon the area of land and sea which can be occupied by green
plants, and upon the quantities of the ultimate foodstuffs (chiefly
mineral compounds of nitrogen) that are available for the plants.
If there were (say, as the results of volcanic activity) a con-
tinued supply of these indispensable food substances (nitrates.,
nitrites, ammonia compounds, carbonic acid gas, and some other
mineral salts), there would seem to be no theoretical reason \\ liy
the quantity of available energy upon the earth in the form of
the organic substance of plants and animals should not steadily
accumulate. As it is, some substances which are the results of
organic activity do tend to accumulate; these are peat, lignite,
coal, perhaps oil, carbonate of lime in the form of coral reefs ;m