Matter. VI.

Constitution of bodies.—We have hitherto explained and vindicated those facts and principles which experience and reason point out to us as the true foundations of a sound philosophical theory of matter. We are now prepared to examine the much-vexed question of the constitution of bodies; nor are we deterred from our undertaking by the very common belief that the essence of matter is, and will ever be, an impenetrable mystery; for although the different schools of philosophy have long disputed about the subject without being able to agree in their conclusions, we are confident that these very conclusions, every one of which contains a portion of truth, will afford us the means of reaching the true and complete solution of the question.

The opinions at present entertained by philosophers about the constitution of matter may be reduced to the three following:

Some affirm that the first constituents of natural bodies are the first matter and the substantial form, as explained by Aristotle and by his followers. This view, which reigned supreme for centuries, we shall call the scholastic solution of the question.

Others affirm, on the contrary, that the first constituents of bodies are simple elements, or points of matter, acting on each other from a certain distance, and thus forming dynamical systems of different natures according to their number, powers, and geometrical arrangement. This second view, which, after Boscovich, found a great number of advocates, we shall call the dynamic solution of the question.

Finally, others affirm that the first constituents of bodies are molecules, or chemical atoms. This view, based entirely on chemical considerations, originated with Dalton, of Manchester, early in the present century, and it was very favorably received by all men of science as the true interpretation of chemical facts. This third view we shall call the atomic solution of the question.

The investigation of the grounds on which these three solutions are supported will soon convince us that none of them can be entirely rejected, as each of them has some foundation in truth. To begin with the scholastic solution, all true philosophers know that God alone is a pure act; whence it follows that all creatures essentially consist of act and potency. This act and this potency, when there is question of material things, are called the substantial form and the matter. It is therefore an evident truth that material substance is essentially constituted of matter and substantial form. Against this doctrine nothing can be objected by the advocates of the dynamic or of the atomic solution.

On the other hand, the doctrine which teaches that bodies are made up of chemical atoms, or molecules, which have a definite nature and combine in definite numbers, is very satisfactorily established by experimental science; and nothing can be objected against it by speculative philosophers. But, to prevent misconceptions, [pg 667] we must observe that this theory does not consider the chemical atoms as absolutely indivisible, or as absolutely primitive, or as so many pieces of continuous matter. The word “atom” in chemistry signifies the least possible quantity of any natural substance known to us. Atoms are chemical equivalents. Their chemical indivisibility, on account of which they are called “atoms,” is a fact of experience; but they are absolutely divisible, owing to their physical composition; for we know by the balance that atoms of different substances contain different quantities of matter; and their vibrations, change of size, and variations of chemical activity with the variation of circumstances, unmistakably show that their mass is a sum of units substantially independent of one another, though naturally connected together by mutual actions in one dynamical system. Their matter is therefore discrete, not continuous.

As to the doctrine of simple and unextended elements, we have no need of saying anything in particular in this place, as such a doctrine is a simple corollary of the thesis concerning the impossibility of continuous matter, which we have fully developed in our last article.

From these remarks it will be seen that to the question, What are the primitive constituents of bodies? three answers may be given, and each of them true, if properly interpreted, as we shall presently explain. Thus it is true, in a strictly metaphysical sense, that the primitive constituents of bodies are the matter and the substantial form; it is true again, in a certain other sense, that the primitive constituents of bodies are chemical atoms; and it is true also, in a still different sense, that the primitive constituents of bodies are simple and unextended elements. Hence the scholastic solution does not necessarily clash with the atomic, nor does this latter exclude the dynamic, but all three may stand together in perfect harmony, or rather they are required by the very nature of the question, in the same manner as three solutions are required by the nature of a problem whose conditions give rise to an equation of the third degree. The duty, therefore, of a philosopher, when he has to handle this subject, is not to resort to one of the three solutions in order to attack the others, as it is the fashion to do, but to investigate how the three can be reconciled, and how truth in its fulness can be attained to by their conjunction.

This may appear difficult to those whose philosophical bias in favor of a long-cherished opinion prevents them from looking at things in more than one manner; but those whose mind is free from prejudice and exclusiveness will readily acknowledge that whilst the atomists determine the constituents of bodies by chemical analysis, the dynamists, on the contrary, determine those constituents by mechanical analysis, and the scholastics by metaphysical analysis. Now, these analyses do not exclude one another; they rather prepare the way to one another. Hence their results cannot exclude one another, but rather lead to one another, and give by their union a fuller expression of truth.

If we ask of an atomist, “What are the primitive constituents of a mass of gold?” he will answer that they are the atoms, or the molecules, of gold, as chemistry teaches him. This answer is very good, as it points out the first specific principles of the compound body; for we cannot go further and resolve the molecule without destroying the specific nature of gold. For this reason the atomist, when he [pg 668] has reached the atoms of gold, stops there, and declares that the analysis cannot go further. He evidently refers to the chemical analysis.

If now we ask a dynamist, “What are the primitive constituents of a mass of gold?” he will answer that they are the simple elements of which the molecules of gold are made up. This answer, too, is very good, as it points out the first physical principles of the compound body; for we cannot go further and resolve the simple element without destroying the physical being. For this reason the dynamist, when he has reached the simple elements, stops there, and declares that the analysis can go no further. Of course he means the physical analysis.

Let us now ask of a schoolman, “What are the primitive constituents of a mass of gold.” He will answer that they are the substantial form and the matter, as the last terms obtained by the metaphysical analysis of substance. This last answer also is very good, as it points out the first metaphysical principles of substance. It should, however, be borne in mind that this answer does not apply to the mass of the body as such, nor to its molecules, but only to each primitive element contained in the mass and in the molecules of the body, as we shall fully explain in another place. When he has reached the substantial form and the matter, the schoolman stops there, and declares that the analysis can go no further. He means the metaphysical analysis, which resolves the physical being into metaphysical realities incapable of further resolution.

It is manifest that these three answers, however different, do not clash with one another. Accordingly, the atomist, the dynamist, and the schoolman may all agree in teaching truth, while they give different answers. The fact is, they do not look at the question from the same point of view, and, rigorously speaking, they solve different questions.

The first answers the question, What are the first specific principles of gold or the first golden particles; and he affirms that they are the molecules or atoms of gold.

The second answers the question, What are the first physical principles of such golden particles? and he affirms that they are unextended elements or primitive substances.

The third answers the question, What are the first metaphysical principles of those primitive substances? and he affirms that they are the matter and the substantial form.

This being the case, it may be asked how it came to pass that the atomic, the dynamic, and the scholastic solutions have hitherto been considered as irreconcilable. We reply that the three solutions would never have been held irreconcilable, if their advocates had kept within reasonable limits in the expression of their views. But as philosophers, like other people, are often exclusive, narrow-minded, and ready to oppose whatever comes from a school which is not their own, it frequently happens that they are too easily satisfied with a partial possession of truth, and disdain the views of others who regard truth under a different aspect. By such a course, instead of promoting, they hinder, the advance of philosophical knowledge; and while fighting under the banner of a special school, which they mistake for the banner of truth, they allow themselves to be carried away by a spirit of contention, the unyielding character of which is the greatest impediment in the way of philosophical progress. The constitution of bodies is one of the subjects which, unfortunately, have been and are [pg 669] still handled by different schools with remarkable unfairness to one another. The atomist fights against the dynamist, and both despise the follower of the schoolman; whilst the schoolman from the stronghold of his metaphysical castle looks superciliously on both, confident that he will eventually drive them out of the field of philosophy. This attitude of one school towards another is not worthy of men who profess to love truth. If the atomistic philosopher cannot go beyond the chemical analysis, we will allow him to stop there, on condition, however, that he shall not claim a right to prevent others, who may know better, from proceeding to further investigations beyond the boundaries of chemistry. In like manner, if the dynamist cannot rise to the consideration of the metaphysical principles of substance, let him be satisfied with the consideration of the primitive elements of matter, and dispense with further inquiries; but let him not interfere with the work of the metaphysician, whose method and principles he does not understand. As to the metaphysician himself, we would warn him that, however deeply conversant he may be with the general truths concerning the essential constituents of things, he is nevertheless in danger of erring in their application to particular cases, unless he tests his conclusions by the principles of chemical, mechanical, and physical science; for it is from these sciences that we learn the true nature of the facts and laws of the material world; and all metaphysical investigation about the constitution of bodies must prove a failure, if it lacks the foundation of real facts and their correct interpretation.

It is obvious, after all, that truth cannot fight against truth; and since we have shown that each of the three solutions above given contains a portion of truth, we cannot reject any of them absolutely, but we must discard that only which troubles their harmony, and retain that through which they complete and confirm one another.

We therefore admit the substantial points of the three systems on the constitution of bodies, and recognize the general principles on which they are established. The analysis of bodies carried on through all its degrees leads to the following results:

First, by analyzing the body chemically, we find the atoms, or molecules, endowed with a determinate mass and with specific powers, corresponding to the specific nature of the body. Such atoms are not absolutely indivisible, though chemistry, as yet, cannot decompose them: hence atoms are further analyzable.

Secondly, by analyzing the atom, or the molecule, we discover its components, or primitive parts, called primitive elements, and primitive substances, which are physically simple and unextended, and concur in definite numbers to the constitution of definite molecular masses.

Finally, by analyzing the simple element or the primitive substance, which can no longer be resolved into physical parts, we find that such an element consists of act and potency, or, as we more frequently express ourselves, of form and matter, neither of which can exist separately, as the first physical being which exists in nature is the substance arising from their conspiration. Accordingly the form and the matter of which the simple element consists are not physical, but only metaphysical, principles, and they constitute a metaphysical, not a physical, compound.

These three conclusions are scientifically and philosophically certain; [pg 670] and while they afford a sound basis to our reasonings on material objects, they reconcile modern physics with the principles of old metaphysics. We say with the principles, not with the conclusions; for we must own that the old metaphysicians, owing to their insufficient knowledge of the laws of nature, not unfrequently failed in the application of their principles to the interpretation of natural facts. Thus the chemical, the dynamical, and the scholastic views of the constitution of bodies cease to be antagonistic, and each of the three schools is awarded all it can claim consistently with the rights of truth.

As we intend to speak hereafter more in detail of the constitution of bodies, we shall content ourselves at present with these general remarks on the subject. It is manifest from what precedes that bodies and molecules arise from simple elements, and are substances, not on account of their bodily or molecular composition, but merely because their primitive physical components, the elements, are substances. Hence the question concerning the constitution of material substance, as such, does not necessarily require any further research after the constitution of bodies, but may be directly settled by the consideration of the elements themselves.

We have already seen that the primitive elements of matter are rigorously unextended; that each of them is endowed with activity, passivity, and inertia, and is thus fitted to produce, receive, and conserve local movement; and that the elementary activity, whether attractive or repulsive, is exercised in a sphere according to a permanent law. And since the essential constitution of things must be gathered from their essential properties, it is of the utmost importance for us to ascertain whether the principles of the material element may be fully determined by its known properties, or whether the element may possess occult properties which, if known, would modify our notion of its principles; for it is only after an adequate knowledge of its principle of activity, of its principle of passivity, and of the relation of the one to the other, that we can safely pronounce a judgment about the essence of a primitive being.

We may ask, therefore, in the first place: Does a simple element possess any occult power besides its known power of attracting or repelling?

This question must be answered in the negative. Occult powers and occult qualities have been admitted by the ancient philosophers, and are admitted even now, in compound substances, not because any unknown power resides in the first elements of which they are made up, but because the manner of their composition, and consequently the manner of determining the resultant of their elementary actions, transcends our conception and baffles our calculations. Thus the phenomena of chemical affinity, cohesion, capillarity, electricity, and magnetism depend on actions which science cannot trace to their primitive causes—viz., to the simple elements—but only to their proximate causes, which are complex, and, as such, follow different laws of causation corresponding to the different modes of their constitution. Before we are able to trace such phenomena to their simple and primitive causes, it would be necessary to find out the intrinsic constitution of every molecule; the number, quality, and arrangement of its constituent elements; the arrangement and distance of the molecules in the body; and the mathematical formulas by which every movement of each particle could be determined for every instant of time. As this has not been done, and will never be done, the [pg 671] determination of the causality of molecular phenomena remains, and will ever remain, an insoluble problem, and the complex power from which any such phenomenon proceeds remains, and will ever remain, unknown so far as it is the result of an unknown composition, though we know, at least in general, the nature of the primitive powers from which it results. In other terms, there are no occult powers in matter, but only unknown resultants of known primitive powers.

To prove this, we observe that an occult power is to be admitted, then, only when a phenomenon occurs which cannot proceed from powers already known. This is evident; for, when phenomena can be accounted for by known powers, there is no ground for any inquiry about occult causes. In other words, to look for occult causes without data or indications on which to ground the induction, is to propose to one's self a problem without conditions; which no man in his senses would do. Now, no phenomenon has been observed anywhere in material things which cannot proceed from the known powers of attraction and repulsion; nay, it is positively certain that all phenomena proceed from the same powers. For each material point, when acted on, receives a determination to local movement, and nothing else; and therefore the effect of the action of matter upon matter is nothing but local movement, one element approaching to or retiring from the other. Now, this is precisely what attractive and repulsive powers are competent to do. Hence it is that in all the works of science and natural philosophy the causality of phenomena of every kind is uniformly traced to mere attractions and repulsions.

Again, if any occult power, besides that of attracting or repelling, be assumed to reside in a primitive element of matter, such a power will remain idle for ever, inasmuch as it will never be applicable to the production of natural phenomena. On the other hand, it is obvious that a power destined to remain idle for ever is an absurdity. It is therefore absurd to assume that there is in the elements of matter any occult power besides that of attracting or repelling. In this argument the minor proposition is evident, because all active power is naturally destined to act; whilst the major proposition is evidently inferred from the fact that matter has no passivity, except with regard to local motion, as is acknowledged by all philosophers, and as we shall presently show from intrinsic reasons. Whence it follows that, if there were in matter any hidden power not destined, as the attractive and the repulsive are, to produce local movement, such a power would be absolutely useless, as absolutely inapplicable to any other matter, and would remain in this absurd condition for ever. We need not, therefore, trouble ourselves with the absurd hypothesis of occult powers; and we conclude, accordingly, that the principle of activity of a primitive element is merely attractive or repulsive, as explained in one of our past articles.

It may be asked, in the second place: Is the centre of a simple element to be identified with the principle of passivity of the element?

This question must be answered in the affirmative. For the principle of passivity is that to which the action is terminated; but the action of any one element of matter is terminated to the centre of any other element; therefore the centre of any element is its principle of passivity. The minor proposition of this syllogism [pg 672] might be proved by metaphysical considerations[156]; but we may prove it more clearly in the following manner: Locomotive action implies direction, and no direction can be really taken in space except from a real point to another real point. Now, that by which any two elements, A and B, mark out two distinct points in space, is the centre of their sphere of action. The direction of the action is therefore from the centre of A to the centre of B, and vice versa—that is, the action of the one is terminated to the centre of the other. And thus it is evident that each single element receives the action of every other element in its central point, which is, accordingly, the passive principle of the element. This conclusion may be expressed in this other manner: In a material element the matter (passive principle) is a point from which the action of the element is directed towards other points in space, and to which the actions of other material points in space are directed.

We may remark, also, that material elements, whilst they are always ready to receive movement from extrinsic agents, cannot apply their own power to themselves, because they are inert. This being the case, it obviously follows that the action of an extrinsic agent on an element is terminated there where the action of the element itself cannot be terminated. Now, a little reflection will show that the centre of the element is just the point where the action of the element itself cannot be terminated. For as locomotive action implies direction, and as no direction can be had from the centre of activity to itself, but only from a point to a distinct point, the action of the element upon its own centre is a metaphysical impossibility. Whence we conclude that the principle of passivity, or that in which the primitive element is liable to receive a determination to local movement, is nothing else than the intrinsic term of its essence, the centre from which it directs its action in a sphere, or, in other terms, the matter itself as contradistinguished from the substantial form.

In the third place, it may be asked: Can it be proved that a material element is susceptible of nothing but local movement?

We answer: Yes. For we have shown that the passivity of the material element resides in a mere mathematical point, which, having no bulk, cannot be liable to intrinsic changes, and therefore is susceptible of such determinations only as will bring about a change of extrinsic relations. It is hardly necessary to explain that such a change of extrinsic relations is always brought about by local movement; for such relations either are distances or depend on distances; and distances cannot be modified except by local movement. It is thus manifest that material elements are susceptible of nothing but local movement. Hence the passivity of matter is confined to the reception of local movement alone.

From this well-known truth we may again confirm our preceding solution of the question concerning occult powers. For the activity and the passivity of a simple element essentially respond to one another in the same manner and with as strict a necessity as giving and receiving, and since they spring from the principles of one and the same primitive essence, they must belong to one and the same kind. If, then, there were [pg 673] in the material elements any occult power besides that which produces local movement, there would be also a correspondent passivity not destined to receive local movement; for without this new passivity the occult power could not be exercised. And since the passivity of matter is limited to the sole reception of local movement, none but locomotive power can be admitted to reside in matter.

Essence of material substance.—We are now ready to answer with all desirable precision and clearness the question, “What is the essence of material substance?”—a question not at all formidable, when the active and the passive principle of matter have been properly defined and elucidated. Our answer is as follows:

The essence, or quiddity, of a thing is really nothing else than its nature; hence if we know the principles which constitute the nature of the material element, we know in fact the essence of material substance. Now, the principles which constitute any given created nature are an act of a certain kind—that is, a certain principle of activity; and a corresponding potency—that is, a corresponding principle of passivity. Whence we conclude that the principles of a material nature are the act by which such a nature is determined to act in a sphere and to cause local movement, and the potency on account of which the same nature is liable to receive local movement. And since the said act is called “the substantial form,” and the said potency “the matter,” we conclude that the essence of material substance consists of matter and substantial form.

This conclusion is by no means new; it expresses, on the contrary, the universal doctrine of the ancient philosophers on the essence of material substance. But it must be observed that we limit this doctrine to the essence of primitive elements, which alone can be rigorously styled “first substances,” whilst the ancients, owing to their imperfect notions of natural things, applied the same doctrine to compound substances, which they believed to arise by substantial generation instead of material composition. Thus our conclusion is more guarded and less comprehensive than that of the old metaphysicians. Moreover, the ancient philosophers, who did not know the primitive elements, but assumed the continuity of matter, could not picture to themselves the intellectual notions of matter and substantial form in a sensible manner, and certainly were unable to find any true sensible image of them; and for this reason their speculations about the essence of material substance remained imperfect and their explanations obscure and unsatisfactory. We, on the contrary, thanks to the investigations and discoveries made in the last centuries, have the advantage of knowing that all matter is subject to gravitation, and acts in a sphere according to a constant and very simple law, which presides over the molecular and chemical no less than the astronomical phenomena; and we are thus enabled to form a true and genuine conception of the matter and form of the primitive element, founded on ascertained facts, and free from false or incongruous imaginations. Hence the words “matter” and “form,” as employed by us, have such a clear and precise sense that no room is left for their misinterpretation.

We therefore know, and clearly too, the essence of primitive material substance, whatever may be said to the contrary by some admirers of the old philosophy, who spurn the discoveries of modern physics, or by some [pg 674] modern thinkers, who revile all metaphysical analysis as mere rubbish.

The essential definition of material substance, as such, is therefore the following: Material substance is a being fit to cause and receive merely local motion. This definition is fuller than the one adopted by the ancients, who defined matter to be “a movable being”—Ens mobile. Of course, when they spoke of a “movable” being, the ancients referred to “local” movement; but, as there are movements of some other kinds, none of which can be produced or received by matter, we prefer to keep the epithet “local” as prominent as possible in our definition, and we add the adverb “merely” as a further limitation required by the nature of the subject. The old definition mentions nothing but the mobility of matter. This is owing to the fact that the ancients had no notion of universal attraction, and considered the activity of material substance as dependent on movement, according to their axiom: Nihil movet nisi motum. But as we know, on the one hand, that the specific differences of things must be derived from their formal rather than from their material constitution, and, on the other, as the constituent form of the material element is an efficient principle of local motion, we include in the definition of matter its aptitude both to produce and to receive local motion “as the complete specific difference” which distinguishes material substance from any other being whatever.

It seems to us that our definition of matter wants neither clearness nor precision. Indeed, we would be unable to make it clearer or more accurate; and as for its soundness, let our readers, who have hitherto followed our reasonings, judge for themselves.

In the opinion of most modern philosophers, the essence of matter consists of extension and resistance. From what has preceded it is evident that this opinion is utterly false. Extension is not a property of matter as such, but only of physical compounds containing a multitude of distinct material points; and, even in this case, it is not the matter, but the volume, or the place circumscribed by the extreme terms of the body, that can be styled “extended,” as we have shown in our last article. As to resistance, it suffices to remark that no accidental act belongs to the essence of substance; hence resistance, which is an accidental act, cannot enter into the definition of matter. Some will say that, if not resistance, at least the power of resisting, belongs to the essence of matter. But not even this is true. The material element has the power of attracting or of repelling; but such a power cannot be considered as formally resisting. Resistance is a particular case of repulsion, when the agent by its repulsive exertion gradually lessens and exhausts the velocity of an approaching mass of matter; but resistance may also be a particular case of attraction, inasmuch as the agent by its attractive exertion gradually lessens and exhausts the velocity of a mass of matter receding from it. Hence all material substance has a motive power, either attractive or repulsive; but neither of them can be described as a resisting power; for attractivity does not resist the movement of an approaching body, nor does repulsivity resist the movement of a receding body. It is scarcely necessary to add that the notion of a resisting power essential to matter is a remnant of the old prejudice consisting in the belief that, when two bodies come in contact, the matter [pg 675] of the one precludes, by its materiality, bulk, and inertia, the further advance of the other. Nothing is more common, with the followers of the ancient theories, than the assumption that the matter of bodies by its quantity and by its occupation of space resists the passage of any other matter. We have shown elsewhere that resistance is action, and therefore is not owing to the inert matter standing in the way of the approaching body, but to the active power of which the inert matter is the centre.

To complete our elucidation of the essential definition of matter, something remains to be said about the inertia of material substance. We shall see that inertia is not a constituent, but only a result of the constitution, of matter; whence it follows that no mention of inertia is needed in the essential definition of material substance. In fact, the notion of this substance includes nothing but the essential act and the essential term, that is, the principle of activity and the principle of passivity, both concerned with local motion only. To have a principle of activity and a principle of passivity is in the nature of all created substances, and constitutes their generic entity; hence the mention of these two principles in our definition serves to point out the genus of material substance; whilst the intrinsic ordination of the same principles to local motion serves to point out the essential difference which separates matter from any other substance.

Inertia.—Many confound the inertia of matter with its passivity, and consider inertia as one of the essential constituents of matter. It is not difficult, however, to show that inertia and passivity are two distinct properties. Those who reduce the principles of real being to an act and a term, without taking notice of its essential complement,[157] reduce in fact the intrinsic properties of real being to activity and passivity, the one proceeding from the act, and the other from the potential term; and thus the inertia of matter, for which they cannot account by any distinct principle, is considered by them as an attribute of matter identical with, or at least involved in, its real passivity. The truth is that, as the act and the potency, which constitute the essence of a material being, are the formal source of its actuality, so also the activity connatural to that act, and the passivity connatural to that potency, are the formal source of the inertia by which the same being is characterized. This will be easily understood by a glance at the nature of inertia.

That inertia is not passivity is clear enough; for passivity is the potentiality of receiving an impression from without, whereas inertia is the incapability of receiving an impression from within; passivity is that on account of which matter receives the determination to move, whereas inertia is that on account of which matter cannot change that determination, but is obliged to obey it, by moving with the received velocity in the given direction. The determination to move is received only while the agent acts, that is, as long as the passivity is being actuated, and no longer; whereas the movement itself, which follows such a determination, continues, owing to inertia, without need of continuing the action, so that, if all further action were to cease, the moving matter, owing to its inertia, would persevere in its movement for ever.

Moreover, whence does the passivity and whence does the inertia of [pg 676] matter proceed? Matter is passive, because its substantial term, whose reality entirely depends on actuation, is still actuable or potential with regard to accidental acts. Passivity is therefore nothing but the further actuability of the substantial term; whilst, on the contrary, matter is inert, because its substantial act and its substantial term are so related to one another that the motive power possessed by the former can never terminate its action to the latter; for this is the only reason why a material element cannot modify the determinations which it receives from without. Hence inertia is nothing but the result of the special relation intervening between the principle of activity and the principle of passivity in the constitution of material substance; or, in other terms, inertia is a corollary of the essential correlation of form and matter, and, therefore, is to be traced, not, as passivity, to the essential term of the substance, but to its essential complement. This shows that, in the phrase matter is inert, the word “matter” stands for the material substance itself, and not for the matter, or potential term, which is under the substantial form, and whose character is passivity.

The question we have here discussed may seem of very little importance; yet we had to give its solution, not only because the confusion of distinct notions is a source of difficulties and sophisms, but also because the given solution confirms the necessity of admitting the essential complement as the third principle of real being, and because in spiritual substances there is passivity, though not inertia; which shows how indispensable is our duty of distinguishing between the two.

From the preceding remarks we infer also that inertia belongs to the essence of material substance, not, however, as a constituent principle, but only as something implied in the nature of its constituent principles. As it is impossible to alter the nature of such principles without destroying the essence of matter, so also it is impossible for matter to cease to be inert so long as its essence remains unchanged. In a word, non-inert matter is a metaphysical impossibility.

Lastly, we may add that inertia does not admit of degrees; and therefore all material elements are equally inert. In fact, when we say that matter is inert, we mean, as has been explained, that material substance is entirely and absolutely incapable of imparting motion to itself. Now, absolute incapacity is perfect incapacity, and does not admit of degrees. Hence we may find in different bodies more or less of inert matter, but not more or less of inertia. This is true also of the passivity of matter; that is, we may find in different bodies more or less of passive matter, but not more or less of passivity; for passivity, as consisting in an absolute liability to accidental actuation, cannot admit of degrees.

A few conclusions.—It may be useful, and may prove satisfactory to our readers, to cast a glance over the ground we have trodden and the results so far reached. The sum and substance of the doctrine which we have endeavored to establish is contained in the following propositions:

I. Matter is not continuous, nor divisible in infinitum, nor has it any intrinsic quantity connected in any manner with its essential constitution.

II. All bodies are ultimately made up of primitive elements, physically simple and unextended, which being [pg 677] reached, the physical division of bodies cannot go further.

III. The primordial molecules, or so-called “atoms,” of all substances are so many systems of simple elements dynamically bound with one another by mutual action.

IV. The continuous extension, or geometric quantity, usually predicated of bodies, is the extension of the place comprised within the extreme limits of each body. It is, in other terms, the extension of the volume, not of the matter. Nevertheless, such an extension may be called “material,” not only because the terms of its dimensions are material, but also because in most bodies the elements and the molecules are so close that their action on our senses produces the appearance of material continuity.

V. The extension of bodies is real, though their material continuity is merely apparent; hence only the volumes of bodies, and not their masses, can be properly styled extended.

VI. The true absolute mass of a body is the number of primitive elements it contains.

VII. The primitive elements are of two kinds, some of them always and everywhere attractive, others always and everywhere repulsive. The matter, however, is the same in both kinds, and bears the same relation to its form, whether this be of an attractive or of a repulsive nature.

VIII. There are no other powers in the primitive elements than that of attracting and that of repelling.

IX. All primitive elements have a sphere of activity, throughout which they constantly act according to the Newtonian law—that is, in the inverse ratio of the squared distances, even when the distance is molecular; and no distance, however great, can be designated where the action of an element will not have a finite intensity.

X. The active power of primitive elements cannot be exerted in the immediate contact of matter with matter, distance being an essential condition of all locomotive actions.

XI. The elementary power acts immediately on all distant matter throughout its sphere, independently of any material medium of transmission or communication. Movement, however, cannot be propagated without a material medium.

XII. The term from which the action of any given element is directed, and the term in which the same element receives the motion caused by other elements, is one and the same, viz., the real centre of its sphere of activity; and it is called the matter. The act from which such a centre receives its first existence is called the substantial form; and it has a spherical character, inasmuch as it constitutes a virtual indefinite sphere.

XIII. The essence of a primitive element of matter is by no means a mystery. The essential definition of such an element is “a substance fit to cause and to receive mere local motion.”

XIV. Inertia is an essential property of material substance, no less than activity and passivity. Inertia admits of no degrees.

XV. The so-called “force of inertia” is neither the inertia itself nor any special motive power; but it merely expresses a certain exercise of the elementary powers dependent on the inertia of the matter acted on; for bodies, on account of their inertia, cannot leave their place before they have received in all their parts a suitable velocity. Hence while such a velocity is being communicated to a body, the body which is acted on cannot yield its place to the impinging body; and consequently, [pg 678] during the struggle of two bodies, the one which impinges loses a quantity of movement equal to that which it imparts to the mass impinged upon. The loss of movement in the impinging body is therefore caused, not by the inertia of the body impinged upon, but by its elementary powers as exercised by it during the reception of the momentum.

The foregoing conclusions, as every attentive reader must have noticed, have been drawn from nothing but known facts and received principles; we may therefore consider them as fully established. The more so as we have taken care to examine both sides of each question, and have given not only such direct proofs of each conclusion as would suffice to convince all unprejudiced minds, but also every objection that we have been able to find against our own views, and have thus found the opportunity of confirming, by our answers to the same, the truth of the doctrine propounded. There may be other objections which did not occur to our mind; yet it is likely that their solution will need no new considerations besides those already developed in the preceding pages. Should any other difficulty occur to the reader which cannot be answered by those considerations, we would earnestly entreat him to propound it to us, that we may try its strength. We are always glad to hear a new objection against what we hold to be true. For objections either can or cannot be solved. If they can, their solution will throw a new light on the doctrine we defend; and if they cannot, their insolubility will show us some weak point, or at least some impropriety of our language, and will thus cause us to correct our expressions or modify our opinions. Whatever helps us to regard things under some new point of view is calculated to enlarge our conceptions, to make our language clearer and more precise, and to strengthen our philosophical convictions. Those alone need to be afraid of objections who draw their conclusions from arbitrary hypotheses, instead of established truths.

We conclude the present article with a short answer to a question, which has often been raised by timorous people, concerning what may be styled the cardinal point of our doctrine on matter-viz., the simplicity of material elements. The question is the following: If we admit that the elements of matter are physically simple, is there not a serious danger of setting at naught the essential difference between the spiritual and the material substance, and are we not drifting thus into materialism?

We reply that no such danger needs to be apprehended. For it is not true that physical simplicity constitutes the essential difference between spirit and matter. Every primitive being is physically simple; and yet it does not follow that all primitive beings belong to the same species. On the other hand, spirit and matter, notwithstanding their physical simplicity, evidently belong to different species. The element of matter is inert—that is, though acting all around itself, it cannot exercise its activity within itself; whereas the spiritual substance exercises its activity within as well as without itself, and continually modifies its own interior state by its vital operations. Again, the element of matter is ubicated in space, and marks a local point, from which it directs its action in a sphere; whereas the spiritual substance neither marks a local point in space nor acts in a sphere, but determines both the direction [pg 679] and the intensity of its action as it pleases. Moreover, the element of matter has nothing but locomotive power; whereas the spiritual substance possesses not only the locomotive, but also, and principally, the thinking and the willing powers, by which it vastly transcends all material being. This suffices to show that spirit and matter, though physically simple, have an entirely different metaphysical constitution—that is, a different substantial act, a different substantial term, and a different substantial complement. Hence the simplicity of the material element does not set at naught the essential difference between matter and spirit.

Those whose metaphysical notions about material substance still hang upon the physics of the ancients will be loath to admit that our unextended element can be physically simple; for they have been taught to believe that wherever there is matter and form, there is physical composition. But such a notion is evidently wrong; for where in the element are the physical components, without which physical composition is impossible? Can we say that the matter and the substantial form are physical components? Certainly not; for the form without the matter cannot exist, nor can the matter exist without the form. Both are absolutely required for the constitution of the primitive physical being. How, then, can they be conceived as physical beings, if no physical being can be conceived before their meeting in one essence and in a common existence? A physical compound is a compound whose components have a distinct and independent existence in nature; for physical beings alone can be physical components, and nothing which has not a distinct and independent existence in nature can be called a physical being, except by an abuse of terms. The physical being is a complete being—that is, an act materially completed by its intrinsic term, and formally completed by its individual actuality. All beings that are incomplete, and whose existence depends on other cognate beings, are no more than metaphysical realities. Hence the substantial form of the element, which has no separate existence, is not a physical, but only a metaphysical, being; and in the same manner, the matter to which that form gives the first existence is not a physical, but only a metaphysical, reality. Whence it follows that the composition of matter and substantial form is not a physical, but only a metaphysical, composition; and, further, that the primitive element is indeed a metaphysical, but not a physical, compound.

On this subject we shall have more to say when explaining the peripatetic theory of substantial generations, which assumes that the substantial form can be changed without changing the matter. It is on this assumption that the physical distinction between matter and form has been maintained. We shall prove in the most irrefragable manner that the assumption is based on an equivocation about the meaning of the epithet “substantial” as applied to natural forms, and that no form which is truly and strictly substantial—that is, which gives the first being to its matter—can leave its matter and be subrogated by another substantial form.

To Be Continued.