But sense-phenomena are not the only mental phenomena of which we are

aware: there are ideas which we do not see or handle, or smell or taste,

but of which we are nevertheless distinctly conscious. Thought has its

movement, ideas have their co-existence and sequences, the association

of ideas has its laws. There is a uniformity of human nature as well as

of external nature; there are conditions under which certain actions are

always performed, and without which they would never be done. Whether

the body of propositions in which these conditions are formulated be

accorded or denied the name of science, matters little. But it is

difficult to see what are the so great differences between these

phenomena and sense-phenomena that make the latter amenable and the

former insusceptible to scientific treatment. Is it that ideas are

invisible? So is weight, yet the gravitation formula is scientific. Is

it that thought is impalpable? So is colour, so is sound--yet there are

optics and acoustics.

Be this as it may, what makes things material susceptible to scientific

treatment is a quality which is not peculiar to them, but which is

shared by them in common with things immaterial: it is that they are

objects of which the mind is immediately aware, phenomena present to

some consciousness, and that they are phenomena which appear in

consciousness as co-existent and successive in certain definite uniform

modes which can be detected by thought and formulated in general

propositions, or laws.

If the theory of evolution comprehends all things, mind and morals as

well as matter and motion; if the law of continuity connects all things

together, immaterial as well as material, in a process which moves

without break or interruption; it is because all things agree in the

fact that they are presented (whether in sense or in idea) to the mind,

and because they are presented in the continuity of consciousness.

But the object of the scientific mind is not to observe and record all

the phenomena presented to it in the continuity of consciousness. On the

contrary, it neglects and rejects many; but always with a purpose, viz.

that of ascertaining and describing, as precisely as possible, the

conditions under which a given co-existence or sequence occurs (and

therefore may be expected to recur) and without which it fails to occur.

In other words, science assumes that everything has a cause, and that in

accordance with the uniformity of nature what has happened once will

happen again in the same circumstances; that a cause will, in the

absence of counteracting causes, produce its effect. Without these

assumptions science cannot treat of any subject: no department of

knowledge can be dealt with scientifically if these assumptions are not

admitted with regard to that department. On the other hand, if by the

aid of these assumptions we are enabled to reduce any set of phenomena

to law and order, our success is of itself sufficient ground for

regarding the assumptions as warrantable and justifiable. For science,

at any rate, the only question is whether as a matter of fact they do

enable us to determine under what conditions given co-existences or

sequences will ensue, or what conditions such a co-existence or sequence

necessarily implies.

With regard to human activity, mental and physical, it is plain matter

of fact that such uniformities of sequence and co-existence not only can

be but are demonstrated to prevail; and the extension of the scientific

principle of cause and effect to the domain of human will and action is

scientifically justified. The comparative sciences which deal with man

and his works and words--archæology, anthropology, philology--are

perpetually engaged in demonstrating, with fresh proofs every day, the

uniformity of human nature: in similar circumstances men have always

behaved in similar ways. To satisfy the same needs, they have

manufactured similar instruments at similar stages of development: flint

arrow-heads from Mexico or Japan resemble those taken from British

barrows; the pottery of early Greece is hard to distinguish from that of

Peru; the purpose of many stone implements of unknown antiquity has been

discovered by a comparison of the use to which similar tools are put by

savages still existing. That man's words, as well as his works, exhibit

law, order, and uniformity in their growth, as well as in their phonetic

decay, is shown by the science of comparative philology. That in the

face of the same problems similar analogies have been used to produce

similar solutions, is revealed by comparative mythology: the

imagination, which might have seemed most free to throw off the trammels

of law and of monotonous uniformity, falls in similar circumstances into

very similar grooves.

If the will of man is not revealed in the things which he makes, in the

words which he speaks, and the thoughts which he thinks, it is difficult

to know where to look for its manifestation. If, on the other hand, it

is manifested in these ways, then, whether it be free or not, it is

clearly uniform in its action; and the extension to it of the law of

causation seems fully justified by the results.

The recognition of the universality of the law of causation must not,

however, be supposed to carry with it any implication that there are no

differences between, say, the organic and inorganic, or that the laws of

the one are identical with or deducible from those of the other; the

association of ideas may be a scientific and established fact, and yet

not obey the same laws as the adhesiveness of material substances. What

unites all things into a continuous, coherent, and systematic cosmos,

into a scientific whole, is first the fact that, whether phenomena in

sense or phenomena in idea, they are all objects of thought; and next

the fact that they all exhibit the universality of causation and the

uniformity of nature.

Whether this uniformity which binds man and nature into one consistent

whole is a uniformity of will or a uniformity of necessity, is quite

another question. It is a metaphysical and not a scientific inquiry; and

the metaphysical answer, whatever it may be, is one for which science

does not and need not pause. So long as nature is granted to be uniform,

it matters not to science whether the uniformity is of necessity or is

freely willed. In either case the sequences or co-existences described

by science will continue, under the circumstances described, to happen

as described.

It is, however, commonly assumed that actions which are uniform are, by

their very uniformity, proved to be necessitated; and that unless what

happens was bound to happen, there can be no uniformity and no science.

Hence on the one hand the recognition of the freedom of the will has

been denounced as fatal to all scientific conceptions of human nature;

while on the other hand the uniformity of human nature and action has

been denied as being inconsistent with the freedom of the will. The one

side has pointed to one set of facts, which prove irresistibly that men

do will the same thing under the same circumstances. The other side has

pointed to the equally undeniable fact of our consciousness of freedom.

The essential feature in our consciousness of freedom is our conviction

that in the present we can do or abstain from doing a contemplated

action, and in the past, though we did the thing, we might have

abstained from it or have done something else. Now, whether this

possibility that what took place might not have taken place is a real

one or only a delusion, matters not to science. If real and true, it is

indeed fatal to one particular metaphysical theory, viz. that every

event which ever occurred was bound to occur and could not have happened

otherwise; but it leaves every truth of science, every one of those

concise descriptions of what takes place under given circumstances,

absolutely intact. The freedom of the will is anathematised in the name

but not in the interests of science.

That becomes clear when we reflect that the laws of science are, and do

not pretend to be more than, hypothetical statements. The gravitation

formula does not state that bodies do as a matter of fact actually fall

at the rate of sixteen feet in the first second, and so on. The

statement, if made, would be untrue: a feather floats much more slowly

to the ground. Still less does the formula affirm that all bodies move

towards each other--and for a very good reason: many bodies are at rest.

The formula makes no definite statement as to what actually does occur:

it merely states what would or will happen under certain circumstances;

and it is doubly or trebly hypothetical. First, it asserts conditionally

that if, and only if, bodies are free to move, they will tend to move

towards each other at the rate of sixteen feet in the first second, and

so on. Next, even if this condition be fulfilled in a particular case,

and a given body is free to move, say, towards the earth, the law of

gravitation does not assert that the body will absolutely, or

unconditionally, or of necessity fall sixteen feet in the first second:

it only affirms that the body tends to move at that rate, and the word

"tends" conveys in its meaning a second hypothesis. What is meant by

saying that a body tends to fall, or tends to move in a straight line,

is simply that the body will fall or move in the direction or at the

rate mentioned, provided that nothing happens to prevent it. The law of

gravitation then, like every other law of science, from the very terms

in which it is stated, contains two hypotheses: _if_ bodies are free to

move, then they _tend_ to move at a certain rate. Further, like every

other law of science, it is based on a third hypothesis, which, as it is

assumed by all scientific laws, is not expressly referred to by any.

That third hypothesis is that nature is uniform: if a body is free to

move it will, in the future as in the past, tend to move at a certain

rate, provided that nature is uniform.

Now, throughout all this, it is obvious that science knows nothing about

"necessity." Indeed, it is obvious that science, by the trebly

hypothetical form of all its laws, has taken particular pains to avoid

prejudging the question whether what happens was bound to happen. As we

have already said, science takes care to frame its statements in such a

way that they are quite independent of metaphysical theory, and will

remain as true within their limits if the theory of necessity prove

erroneous as they will if it turns out to be correct.

Nor can it be said, thus far, that the laws of science lead us to the

theory of necessity as their logical conclusion. It may be true that if

I walk over a precipice I shall fall to the bottom, in accordance with

the law of gravitation. But it does not logically follow that therefore

I must walk over. It may be true that a suspension bridge will fall in

the same way, if the supports be removed; but it does not follow that

they are therefore bound to give way. It may be true that if nature is

uniform certain sequences will happen; but it does not therefore follow

that nature must be uniform. In other words, the theory of necessity, if

true, cannot be based on science, but must rely on some metaphysical

considerations. Science does not undertake to prove even that nature is

uniform, much less that it is uniform of necessity. The opposite theory,

that the uniformity of nature or of human nature is due to the action

of a will freely manifesting itself as uniform, may be considered

superfluous from the scientific point of view. But the theory of

necessity from the same point of view is equally superfluous. As long as

events do happen uniformly, science has all she wants--whether their

uniformity is of will or of necessity is for her quite a superfluous

question. And if science were all that man wanted, these rival

metaphysical theories would be of no interest to him either. But the

persistency of the attempt to extract some support for the metaphysical

theory of necessity out of the facts of science shows that men of

science, being men, must have their metaphysics.

Are there, then, other facts of science, or assumptions essential to

science, which require the metaphysical theory of necessity as their

presupposition or entail it as their natural consequence? Probably the

reply will be that there is one such principle: that of the Universality

of the Law of Causation. The assumption that everything _must_ have a

cause may be on the part of science a pure assumption, and one which,

like the Uniformity of Nature, cannot be proved by science; but it does,

it may be said, assume the existence of a necessity in things.

It does, it may be replied, but whether the necessity which science

assumes is the same as that maintained by the metaphysical theory in

question, may be doubted. The metaphysical theory is that everything

which happens happens of necessity, and could not have happened

otherwise than it did. The assumptions which science makes with regard

to causation are that nothing can happen unless the conditions requisite

to its production are fulfilled, and that when those conditions are

present the result necessarily follows. The question is whether this

scientific necessity is the same as that metaphysical necessity; or, if

they are not the same, whether either is a logical consequence from the

other.

They are not the same: the scientific assumption is hypothetical, the

metaphysical absolute. The former says that things will happen in one

way, if certain conditions are fulfilled, in another if they are not;

the latter that they absolutely must happen in this way, and not in

that; and that it is an illusion to imagine that they can happen

_either_ this way _or_ that. Science allows us the alternative; the

metaphysical theory declares that the alternative is an impossibility or

an illusion. The metaphysical theory may be right, but it is not the

same thing as the scientific assumption. Neither can it be exhibited as

a logical presupposition of or consequence from the scientific

assumption. From a hypothetical "if" you cannot logically get an

absolute "must." It may be a scientific truth that, if an electric spark

is passed through two atoms of hydrogen and one of oxygen, a drop of

water will be formed. But it does not follow that therefore an electric

spark must be passed through them.

It is obvious that the difference between science and metaphysics in the

matter of necessity is that, whereas science cautiously says, "If

certain conditions are fulfilled, certain results will ensue,"

metaphysics boldly says, "The conditions on which the whole future

depends are already absolutely fixed." Once more, this metaphysical

theory may be true; but, if so, it is not from science that it derives

its truth. The transition from the "if" of science to the "must" of

metaphysics is illogical, though not unnatural, and is facilitated by a

certain amount of obscurity, which can be thrown over it by drawing

illustrations from the past. Thus, if an event has already taken place,

we may infer with certainty from the fact of its occurrence that the

conditions necessary to produce it were realised. And as each of those

conditions must have had a cause, we can infer again that the conditions

requisite to produce them were fulfilled. And so we may travel back _ad

infinitum_ along a never-ending chain of cause and effect, always moving

from one fixed and necessitated event to another event equally

necessitated and fixed. Thus the whole past history of the universe may

be exhibited as a necessary sequence of events; and the inference may be

drawn, and for the purposes of the theory of metaphysical necessity must

be drawn, that because the occurrence of an event proves that the

conditions required for its production were realised, therefore they and

they alone were bound to be realised. Yet this is simply our old

familiar _non sequitur_ thrown into the past tense. It is true that if I

walk over a precipice I shall fall, according to the law of gravitation.

But I am not therefore bound to walk over. It is true that the man who

fell over the cliff obeyed the law of gravity. But we cannot infer

either from the law of gravitation or from the fact of his falling that

he was bound to fall. We can infer that the conditions requisite to

produce the fall were present, but we cannot infer from the fall that

they were bound to be present. It may be quite true that they were bound

to be present, but the effect which followed on them cannot be alleged

either as the cause or the proof of such necessity. We must look for the

reason of the necessity--if there be any necessity in the

case--elsewhere. Shall we, then, say that the conditions of the fall

were themselves effects of prior causes, without which they would not

have happened? That again is true, but the fact that Z would not have

happened had not Y preceded, is not in itself any proof that Y was bound

to happen. And so we may travel back _ad infinitum_ along the

never-ending chain of cause and effect without ever finding ourselves in

a position to infer from the law that everything must have a cause,

that this cause was bound to operate rather than that. The occurrence of

Z is no proof that Y was bound to happen, nor is the fact that Y really

happened any proof that its cause X was bound to occur--and so we may

work back to the beginning of the alphabet. The fact that B took place

shows that A actually occurred, but not that A, rather than A₁ or A₂,

was bound to occur. And if A is the beginning, what was the nature of

the necessity (prior to the beginning of things) which determined in

favour of A rather than A₁ or A₂?

We may indeed say, if we like--since no one can prevent us from saying

things without proof or probability--that the mere fact that A happened

shows that it was bound to happen. But then we might just as well have

said it of Z, and saved ourselves the trouble of going through so much

alphabet to get so little result. We might just as well say that as the

explosion or the accident _did_ happen as a matter of fact, it could not

possibly have been prevented: Z was bound to happen under the

circumstances, therefore the circumstances could not have been altered;

only one result was possible under the conditions, therefore no other

conditions were possible.

Or--to go back to the beginning of the alphabet once more--we may say

with science that we are content with the fact that A did happen, or,

since science does not profess to take us back to an absolute beginning

(force and matter being eternal and without beginning), let us say we

may, like science, be content with the fact that K can be shown to have

happened; but whether K, rather than K₁ or K₂, was bound to occur

there is nothing in science to show. If we take up this, the scientific,

attitude, two consequences follow. First, there is nothing in science to

require or countenance the metaphysical theory of necessity. Next, what

is true of K is equally true of L or M or Z. The fact that L or M or Z

occurred proves that the conditions did combine in the way necessary to

produce L or M or Z, not that they were bound to combine in that way and

could not have combined so as to produce L₁ or L₂, or Z₁ or Z₂ or

Z₃.

Perhaps it may be said that the following is the proper way of stating

the case: We have reason for believing that, as a matter of scientific

necessity, if L is at work it can only produce M, and not M₁ or M₂

(the application of a light to a barrel of gunpowder can have only one

result). But L was at work, therefore M alone could result. Quite true,

but that does not show that the light was bound to be applied, or that

the powder might not have been damp. In fine, the moment the conditions

requisite for the explosion are combined, the explosion is necessary, M

is the only possible result; but until then the explosion is not

necessary, and the result may be M₁, or M₂, or M₃. A cause (_i.e._

the conditions combined) can only have one effect; but until it has

that effect it is not the cause, and may never be. Pre-existent causes,

which must inevitably produce predetermined effects, are figments of the

metaphysical imagination. Conditions which may, and, subject to the

trebly hypothetical laws of science, will combine in certain ways are

scientific facts.

In fine, the Uniformity of Nature, in the sense in which Nature is

assumed, both by science and by common sense, to be uniform, simply

amounts to the assumption that under the same conditions the same

consequences will ensue. But this uniformity neither requires nor

entails necessity. The very form chosen by science for the expression of

scientific laws proclaims the fact: "_If_ bodies are free to move,"

"_if_ counteracting causes be absent," "a body _tends_ to move in the

same straight line." Whatever necessity is introduced into the truths of

science thus expressed is obviously imported from without, and is no

part of science. We may, if we choose, read necessity into science, but

there is no warrant in science for doing so. Science is absolutely

without prejudice on this point. If everything that happens happens of

necessity, the gravitation formula will receive no accession to its

truth. If there be no necessity in the case, each and every truth of

science remains valid as long as the same consequences do ensue in the

same circumstances.

Since, then, science observes an armed neutrality in this dispute, and

is concerned only to guard that assumption of the uniformity of nature

which is vital to her existence, we must turn elsewhere for a decision

of the question.

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