The Guide for the Perplexed

“The Universe, that is, everything contained in it, is composed of very small parts [atoms] which are indivisible on account of their smallness; such an atom has no magnitude; but when several atoms combine, the sum has a magnitude, and thus forms a body.” If, therefore, two atoms were joined together, each atom would become a body, and they would thus form two bodies, a theory which in fact has been proposed by some Mutakallemim. All these atoms are perfectly alike; they do not differ from each other in any point. The Mutakallemim further assert, that it is impossible to find a body that is not composed of such equal atoms which are placed side by side. According to this view genesis and composition are identical; destruction is the same as decomposition. They do not use the term “destruction,” for they hold that “genesis” implies composition and decomposition, motion and rest. These atoms, they believe, are not, as was supposed by Epicurus and other Atomists numerically constant; but are created anew whenever it pleases the Creator; their annihilation is therefore not impossible. Now I will explain to you their opinion concerning the vacuum. Second Proposition.

On the vacuum. The original Mutakallemim also believe that there is a vacuum, i.e., one space, or several spaces which contain nothing, which are not occupied by anything whatsoever, and which are devoid of all substance. This proposition is to them an indispensable sequel to the first. For, if the Universe were full of such atoms, how could any of them move? For it is impossible to conceive that one atom should move into another. And yet the composition, as well as the decomposition of things, can only be effected by the motion of atoms! Thus the Mutakallemim are compelled to assume a vacuum, in order that the atoms may combine, separate, and move in that vacuum which does not contain any thing or any atom. Third Proposition.

“Time is composed of time-atoms,” i.e., of many parts, which on account of their short duration cannot be divided. This proposition also is a logical consequence of the first. The Mutakallemim undoubtedly saw how Aristotle proved that time, space, and locomotion are of the same nature, that is to say, they can be divided into parts which stand in the same proportion to each other: if one of them is divided, the other is divided in the same proportion. They, therefore, knew that if time were continuous and divisible ad infinitum, their assumed atom of space would of necessity likewise be divisible. Similarly, if it were supposed that space is continuous, it would necessarily follow, that the time-element, which they considered to be indivisible, could also be divided. This has been shown by Aristotle in the treatise called Acroasis. Hence they concluded that space was not continuous, but was composed of elements that could not be divided; and that time could likewise be reduced to time-elements, which were indivisible. An hour is, e.g., divided into sixty minutes, the minute into sixty seconds, the second into sixty parts, and so on; at last after ten or more successive divisions by sixty, time-elements are obtained, which are not subjected to division, and in fact are indivisible, just as is the case with space. Time would thus be an object of position and order.

The Mutakallemim did not at all understand the nature of time. This is a matter of course; for if the greatest philosophers became embarrassed when they investigated the nature of time, if some of them were altogether unable to comprehend what time really was, and if even Galenus declared time to be something divine and incomprehensible, what can be expected of those who do not regard the nature of things?

Now, mark what conclusions were drawn from these three propositions, and were accepted by the Mutakallemim as true. They held that locomotion consisted in the translation of each atom of a body from one point to the next one; accordingly the velocity of one body in motion cannot be greater than that of another body. When, nevertheless, two bodies are observed to move during the same time through different spaces, the cause of this difference is not attributed by them to the fact that the body which has moved through a larger distance had a greater velocity, but to the circumstance that motion which in ordinary language is called slow, has been interrupted by more moments of rest, while the motion which ordinarily is called quick has been interrupted by fewer moments of rest. When it is shown that the motion of an arrow, which is shot from a powerful bow, is in contradiction to their theory, they declare that in this case too the motion is interrupted by moments of rest. They believe that it is the fault of man’s senses if he believes that the arrow moves continuously, for there are many things which cannot be perceived by the senses, as they assert in the twelfth proposition. But we ask them: “Have you observed a complete revolution of

a millstone? Each point in the extreme circumference of the stone describes a large circle in the very same time in which a point nearer the centre describes a small circle; the velocity of the outer circle is therefore greater than that of the inner circle. You cannot say that the motion of the latter was interrupted by more moments of rest; for the whole moving body, i.e., the millstone, is one coherent body.” They reply, “During the circular motion, the parts of the millstone separate from each other, and the moments of rest interrupting the motion of the portions nearer the centre are more than those which interrupt the motion of the outer portions.” We ask again, “How is it that the millstone, which we perceive as one body, and which cannot be easily broken, even with a hammer, resolves into its atoms when it moves, and becomes again one coherent body, returning to its previous state as soon as it comes to rest, while no one is able to notice the breaking up [of the stone]?” Again their reply is based on the twelfth proposition, which is to the effect that the perception of the senses cannot be trusted, and thus only the evidence of the intellect is admissible. Do not imagine that you have seen in the

foregoing example the most absurd of the inferences which may be drawn from these three propositions: the proposition relating to the existence of a vacuum leads to more preposterous and extravagant conclusions. Nor must you suppose that the aforegoing theory concerning motion is less irrational than the proposition resulting from this theory, that the diagonal of a square is equal to one of its sides, and some of the Mutakallemim go so far as to declare that the square is not a thing of real existence. In short, the adoption of the first proposition would be tantamount to the rejection of all that has been proved in Geometry. The propositions in Geometry would, in this respect, be divided into two classes: some would be absolutely rejected; e.g., those which relate to properties of the incommensurability and the commensurability of lines and planes, to rational and irrational lines, and all other propositions contained in the tenth book of Euclid, and in similar works. Other propositions would appear to be only partially correct; e.g., the solution of the problem to divide a line into two equal parts, if the line consists of an odd number of atoms; according to the theory of the Mutakallemim such a line cannot be bisected. Furthermore, in the well-known book of problems by the sons of Shakir

are contained more than a hundred problems, all solved and practically demonstrated; but if there really were a vacuum, not one of these problems could be solved, and many of the waterworks [described in that book] could not have been constructed. The refutation of such propositions is a mere waste of time. I will now proceed to treat of the other propositions mentioned above.

Fourth Proposition. “The accidents of things have real existence; they are elements superadded to the substance itself, and no material thing can be without them.” Had this proposition been left by the Mutakallemim in this form it would have been correct, simple, dear, and indisputable. They have, however, gone further, asserting that a substance which has not the attribute of life, must necessarily have that of death; for it must always have one of two contrasting properties. According to their opinion, colour, taste, motion or rest, combination or separation, etc., can be predicated of all substances, and, if a substance have the attribute of life, it must at the same time possess such other kinds of accidents, as wisdom or folly, freewill or the reverse, power or weakness, perception or any of its opposites, and, in short, the substance must have the one or the other of all correlative accidents appertaining to a living being. Fifth Proposition.

“The atom is fully provided with all these foregoing accidents, and cannot exist if any be wanting.” The meaning of the proposition is this: The Mutakallemim say that each of the atoms created by God must have accidents, such as colour, smell, motion, or rest, except the accident of quantity: for according to their opinion an atom has no magnitude; and they do not designate quantity as an accident, nor do they apply to it the laws of accidents. In accordance with this proposition, they do not say, when an accident is noticed in a body, that it is peculiar to the body as such, but that it exists in each of the atoms which form the constituent elements of that body. E.g., take a heap of snow; the whiteness does not exist in that heap as a whole, but each atom of the snow is white, and therefore the aggregate of these atoms is likewise white. Similarly they say that when a body moves each atom of it moves, and thus the whole body is in motion. Life likewise exists, according to their view, in each atom of a living body. The same is the case according to their opinion with the senses; in each atom of the aggregate they notice the faculty of perception. Life, sensation, intellect and wisdom are considered by them as accidents, like blackness and whiteness, as will be shown in the further discussion of their theory.

Concerning the soul, they do not agree. The view most predominant among them is the following:—The soul is an accident existing in one of the atoms of which, e.g., man is composed; the aggregate is called a being endowed with a soul, in so far as it includes that atom. Others are of opinion that the soul is composed of ethereal atoms, which have a peculiar faculty by virtue of which they constitute the soul, and that these atoms are mixed with the atoms of the body. Consequently they maintain that the soul is an accident.

As to the intellect, I found that all of them agreed in considering it to be an accident joined to one of the atoms which constitute the whole of the intelligent being. But there is a confusion among them about knowledge; they are uncertain whether it is an accident to each of the atoms which form the knowing aggregate, or whether it belongs only to one atom. Both views can be disproved by a reductio ad absurdum, when the following facts are pointed out to them. Generally metals and stones have a peculiar colour, which is strongly pronounced, but disappears when they are pulverised. Vitriol, which is intensely green, becomes white dust when pounded; this shows that that accident exists only in the aggregate, not in the atoms. This fact is more striking in the following instance: when parts of a living being are cut off they cease to live, a proof that the accident [of life] belongs to the aggregate of the living being, not to each atom. In order to meet this objection they say that the accident is of no duration, but is constantly renewed. In discussing the next proposition I shall explain their view on this subject. Sixth Proposition.

“The accidents do not exist during two time-atoms.”—The sense of the proposition is this: They believe that God creates a substance, and simultaneously its accidents; that the Creator is incapable of creating a substance devoid of an accident, for that is impossible; that the essential characteristic of an accident is its incapability of enduring for two periods, for two time-atoms; that immediately after its creation it is utterly destroyed, and another accident of the same kind is created; this again is destroyed and a third accident of the same kind is created, and so on, so long as God is pleased to preserve [in that substance] this kind of accident; but He can at His will create in the same substance an accident of a different kind, and if He were to discontinue the creation and not produce a new accident, that substance would at once cease to exist. This is one of the opinions held by the Mutakallemim; it has been accepted by most of them, and it is the so-called “theory of the creation of the accidents.” Some of them, however, and they belong to the sect of the Muʻtazilah, say that there are accidents which endure for a certain period, and other accidents which do not endure for two atoms of time; they do not follow a

fixed principle in deciding what class of accidents has and what class has not a certain duration. The object of this proposition is to oppose the theory that there exists a natural force from which each body derives its peculiar properties. They prefer to assume that God himself creates these properties without the intervention of a natural force or of any other agency: a theory which implies that no accident can have any duration. For suppose that certain accidents could endure for a certain period and then cease to exist, the question would naturally be asked, What is the cause of that non-existence? They would not be satisfied with the reply that God by His will brought about this non-existence, and non-existence does not at all require any agens whatever; for as soon as the agens leaves off acting, the product of the agens ceases likewise to exist. This is true to some extent. Having thus chosen to establish the theory that there does not exist any natural force upon which the existence or non-existence of a thing depends, they were compelled to assume that the properties of things were successively renewed. When God desires to deprive a thing of its existence, He, according to some of the Mutakallemim, discontinues the creation of its accidents, and eo ipso the body

ceases to exist. Others, however, say that if it pleased the Almighty to destroy the world, He would create the accident of destruction, which would be without any substratum. The destruction of the Universe would be the correlative accident to that of existence.—In accordance with this [sixth] proposition they say, that the cloth which according to our belief we dyed red, has not been dyed by us at all, but God created that colour in the cloth when it came into contact with the red pigment; we believe that colour to have penetrated into the cloth, but they assert that this is not the case. They say that God generally acts in such a way, that, e.g., the black colour is not created unless the cloth is brought into contact with indigo; but this blackness, which God creates in the instant when the cloth touches the black pigment is of no duration, and another creation of blackness then takes place; they further say that after the blackness is gone, He does not create a red or green colour, but again a black colour.

According to this principle, the knowledge which we have of certain things to-day, is not the same which we had of them yesterday; that knowledge is gone, and another like it has been created. They positively believe that this does take place, knowledge being an accident. In like manner it would follow that the soul, according to those who believe that it is an accident, is renewed each moment in every animated being, say a hundred thousand times; for, as you know, time is composed of time-atoms. In accordance with this principle they assert that when man is perceived to move a pen, it is not he who has really moved it; the motion produced in the pen is an accident which God has created in the pen; the apparent motion of the hand which moves the pen is likewise an accident which God has created in the moving hand; but the creative act of God is performed in such a manner that the motion of the hand and the motion of the pen follow each other closely; but the hand does not act, and is not the cause of the pen’s motion; for, as they say, an accident cannot pass from one thing to another. Some of the Mutakallemim accordingly contend that this white cloth, which is coloured when

put into the vessel filled with indigo, has not been blackened by the indigo; for blackness being an attribute of indigo, does not pass from one object to another. There does not exist any thing to which an action could be ascribed; the real agens is God, and He has [in the foregoing instance] created the blackness in the substance of the cloth when it came into contact with the indigo, for this is the method adopted by Him. In short, most of the Mutakallemim believe that it must never be said that one thing is the cause of another; some of them who assumed causality were blamed for doing so. As regards, however, the acts of man their opinions are divided. Most of them, especially the sect of the Asha’ariyah, assume that when the pen is set in motion God has created four accidents, none of which is the cause of any of the rest, they are only related to each other as regards the time of their co-existence, and have no other relation to each other. The first accident is man’s will to move the pen, the second is man’s power to do so, the third is the bodily motion itself, i.e., the motion of the hand, and the fourth is the motion of the pen. They believe

that when a man has the will to do a thing and, as he believes, does it, the will has been created for him, then the power to conform to the will, and lastly the act itself. The act is not accomplished by the power created in man; for, in reality, no act can be ascribed to that power. The Muʻtazilah contend that man acts by virtue of the power which has been created in him. Some of the Asha’ariyah assert that the power created in man participates in the act, and is connected with it, an opinion which has been rejected by the majority of them. The will and the power created in man, according to the concurrent belief of the Mutakallemim, together with the act created in him, according to some of them, are accidents without duration. In the instance of the pen, God continually creates one motion after the other so long as the pen is in motion; it only then ceases to move when God has created in it the accident of rest; and so long as the pen is at rest, God continually renews in it that accident. Consequently in every one of these moments, i.e., of the time-atoms, God creates some accident in every existing individual, e.g., in the angels, in the spheres and

in other things; this creation takes place continually and without interruption. Such is, according to their opinion, the right interpretation of the creed that God is the causa efficiens. But I, together with all rational persons, apply to those theories the words, “Will you mock at Him, as you mock at man?” for their words are indeed nothing but mockery.

“The absence of a property is itself a property that exists in the body, a something superadded to its substance, an actual accident, which is constantly renewed; as soon as it is destroyed it is reproduced.” The reason why they hold this opinion is this: they do not understand that rest is the absence of motion; death the absence of life; that blindness is the absence of sight, and that all similar negative properties are the absence of the positive correlatives. The relation between motion and rest is, according to their theory, the same as the relation between heat and cold, namely, as heat and cold are two accidents found in two objects which have the properties of heat and cold, so motion is an accident created in the thing which moves, and rest an accident created in the thing which rests; it does not remain in existence during two consecutive time-atoms, as we have stated in treating of the previous proposition. Accordingly, when a body is at rest, God has created the rest in each atom of that body, and so long as the body remains at rest God continually renews that property. The same, they believe, is the case with a man’s wisdom and ignorance; the latter is considered by them as an actual accident, which is subject to the constant changes of destruction and creation, so long as there remains a thing of which such a man is ignorant. Death and life are likewise accidents, and as the Mutakallemim distinctly state, life is constantly destroyed and renewed during the whole existence of a living being; when God decrees its death, He creates in it the accident of death after the accident of life, which does not continue during two time-atoms, has ceased to exist. All this they state clearly.

The logical consequence of this proposition is that the accident of death created by God instantly ceases to exist, and is replaced by another death which again is created by God; otherwise death could not continue. Death is thus continually created in the same manner as life is renewed every moment. But I should wish to know how long God continues to create death in a dead body. Does He do so whilst the form remains, or whilst one of the atoms exists? For in each of the atoms of the body the accident of death which God creates is produced, and there are to be found teeth of persons who died thousands of years ago; we see that those teeth have not been deprived of existence, and therefore the accident of death has during all these thousands of years been renewed, and according to the opinion prevailing amongst those theorists, death was continually replaced by death. Some of the Muʻtazilah hold that there are cases in which the absence of a physical property is not a real property, that weariness is the absence of strength, and ignorance the absence of knowledge; but this cannot be said in every case of negative properties: it cannot be said that darkness is the mere absence of light, or that rest is the absence of motion. Some negative properties are thus considered by them as having a real existence, while other negative properties are considered as non-existing, just as suits their belief. Here they proceed in the same manner as they proceed respecting the duration of accidents, and they contend that some accidents exist a long time, and other accidents do not last two time-atoms. Their sole object is to fashion the Universe according to their peculiar opinions and beliefs.

Eighth Proposition. “There exists nothing but substance and accident, and the physical form of things belong to the class of accidents.” It is the object of this proposition to show that all bodies are composed of similar atoms, as we have pointed out in explaining the first proposition. The difference of bodies from each other is caused by the accidents, and by nothing else. Animality, humanity, sensibility, and speech, are denoted as accidents like blackness, whiteness, bitterness, and sweetness, and the difference between two individuals of two classes is the same as the difference of two individuals of the same class. Also the body of the heaven, the body of the angels, the body of the Divine Throne—such as it is assumed to be—the body of anything creeping on the earth, and the body of any plant, have one and the same substance; they only differ in the peculiarity of the accidents, and in nothing else; the substance of all things is made up of equal atoms. Ninth Proposition.

“None of the accidents form the substratum of another accident; it cannot be said, This is an accident to a thing which is itself an accident to a substance. All accidents are directly connected with the substance.” The Mutakallemim deny the indirect relation of the accident to the substance, because if such a relation were assumed it would follow that the second accident could only exist in the substance after another accident had preceded it, a conclusion to which they would object even with regard to some special accidents; they prefer to show that these accidents can exist in every possible substance, although such substance is not determined by any other accident; for they hold that all the accidents collectively determine the thing. They advance also another proof [in support of this proposition], namely: The substratum which is the bearer of certain attributes must continue to exist for a certain time; how, then, could the accident; which—according to their opinion—does not remain in existence for two moments, become the substratum of something else? Tenth Proposition.

This proposition concerns the theory of “admissibility,” which is mentioned by the Mutakallemim, and forms the principal support of their doctrine. Mark its purport: they observe that everything conceived by the imagination is admitted by the intellect as possible; e.g., that the terrestrial globe should become the all-encompassing sphere, or that this sphere should become the terrestrial globe; reason does not find here an impossibility; or that the sphere of fire should move towards the centre, and the sphere of earth towards the circumference. Human intellect does not perceive any reason why a body should be in a certain place instead of being in another. In the same manner they say that reason admits the possibility that an existing being should be larger or smaller than it really is, or that it should be different in form and position from what it really is; e.g., a man might have the height of a mountain, might have several heads, and fly in the air; or an elephant might be as small as an insect, or an insect as huge as an elephant. This method of admitting possibilities is applied to the whole Universe. Whenever they affirm that a thing belongs to this class of admitted possibilities, they say that it can have this form, and that it is also possible that

it be found differently, and that the one form is not more possible than the other; but they do not ask whether the reality confirms their assumption. They say that the thing which exists with certain constant and permanent forms, dimensions, and properties, only follows the direction of habit, just as the king generally rides on horseback through the streets of the city, and is never found departing from this habit; but reason does not find it impossible that he should walk on foot through the place; there is no doubt that he may do so, and this possibility is fully admitted by the intellect. Similarly, earth moves towards the centre, fire turns away from the centre; fire causes heat, water causes cold, in accordance with a certain habit; but it is logically not impossible that a deviation from this habit should occur, namely, that fire should cause cold, move downward, and still be fire; that the water should cause heat, move upward, and still be water. On this foundation their whole fabric is constructed. They admit, however, the impossibility of two opposite properties coexisting at the same time in one substance. This is impossible; reason would not admit this possibility. Again, reason does not admit the possibility of a substance existing without an accident, or an accident existing without

a substance, a possibility admitted by some of the Mutakallemim. It is also impossible that a substance should become an accident, that an accident should become a substance, or that one substance should penetrate another. They admit that reason rejects all these things as impossible. It is perfectly true that no notion whatever can be formed of those things which they describe as impossible; whilst a notion can be formed of those things which they consider as possible. The philosophers object to this method, and say, You call a thing impossible because it cannot be imagined, or possible because it can be imagined; and thus you consider as possible that which is found possible by imagination, not by the intellect, consequently you determine that a thing is necessary, possible, or impossible in some instances, by the aid of the imagination—not by the intellect—and in other instances by the ordinary common sense, as Abu Nasr says in speaking of that which the Mutakallemim call intellect. It is clear that they describe as possible that which can be imagined, whether the reality correspond to it or not, and as impossible that which cannot be imagined. This proposition can only be established by the nine aforementioned propositions, and no doubt these were exclusively required for the support of this proposition. This you will

see clearly when I shall show and explain to you some important parts of this theory, which I shall now introduce in the form of a discussion supposed to have taken place between a Mutakallem and a philosopher.

The Mutakallem said to the philosopher: What is the reason that we find the substance of iron extremely hard and strong, with a dark colour; the substance of cream, on the other hand, extremely soft and white? The philosopher replied as follows: All physical bodies have two kinds of accidents: those which concern their substance, as, e.g., the health and the illness of a man; and those which concern their form, as, e.g., the astonishment and laughter of a man. The substances of compound bodies differ very much in their ultimate form, according to the difference of the forms peculiar to each component substance. Hence the substance of iron has become in its properties the opposite of the substance of cream, and this difference is attended by the difference of accidents. You notice, therefore, hardness in the one, and softness in the other: two accidents, whose difference results from the difference which exists in the forms of the substances; while the darkness and the whiteness are accidents whose divergence corresponds to that of the two substances in their ultimate condition. The Mutakallem refuted this reply by means of his propositions, as I am now going to state:—There does not exist a form which, as you believe, modifies the substance, and thus causes substances to be different from each other; this

difference is exclusively effected by the accidents—according to the theory of the Kalâm, which we mentioned in explaining the eighth proposition. He then continued thus: There is no difference between the substance of iron and that of cream; all things are composed of the same kind of atoms.—We explained the view of the Mutakallemim on this point in treating of the first proposition, the logical consequences of which are, as we have shown, the second and the third propositions; they further require the twelfth proposition, in order to establish the theory of atoms. Nor do they admit that any accidents determine the nature of a substance, or predispose it to receive certain other accidents; for, according to their opinion, an accident cannot be the substratum of another accident, as we have shown in explaining the ninth proposition; nor can it have any duration, according to the sixth proposition. When the Mutakallemim have established all that they wish to infer from these propositions, they arrive at the conclusion that the component atoms of cream and of iron are alike.—The relation of each atom to each of the accidents is the same; one atom is not more adapted than another to receive a certain accident; and as a certain atom is not more fitted to move than to rest, so one atom

is not more apt than another to receive the accident of life, of reason, of sensation. It is here of no moment whether a thing contains a larger or smaller quantity of atoms, for, according to the view of the Mutakallemim, which we explained in treating of the fifth proposition, every accident [of a thing] exists in each of its atoms. All these propositions lead to the conclusion that a human being is not better constituted to become wise than the bat, and establish the theory of admissibility expressed in this [tenth] proposition. Every effort was made to demonstrate this proposition, because it is the best means for proving anything they like, as will be explained.

Note.—Mark, O reader, that if you know the nature of the soul and its properties, and if you have a correct notion of everything which concerns the soul, you will observe that most animals possess imagination. As to the higher class of animals, that is, those which have a heart, it is obvious that they have imagination. Man’s distinction does not consist in the possession of imagination, and the action of imagination is not the same as the action of the intellect, but the reverse of it. For the intellect analyses and divides the component parts of things, it forms abstract ideas of them, represents them in their true form as well as in their causal relations, derives from one object a great many facts, which—for the intellect—totally differ from each other, just as two human individuals appear different to the imagination; it distinguishes that which is the property of the genus from that which is peculiar to the individual,—and no proof is correct, unless founded on the former; the intellect further determines whether certain qualities of a thing are essential or non-essential. Imagination has none of these functions. It only perceives the individual, the compound in that aggregate condition in which it presents itself to the senses; or it combines things which exist separately, joins some of them together, and represents them all as one body or as a force of the body. Hence it is that some imagine a man with a horse’s head, with wings, etc. This is called a fiction, a phantasm; it is a thing to which nothing in the actual world corresponds. Nor can imagination in any way obtain a purely immaterial image of an object, however abstract the form of the image may be. Imagination yields therefore no test for the reality of a thing.

Hear what profit we derive from the preliminary disciplines, and how excellent the propositions are which we learn through them. Know that there are certain things, which would appear impossible, if tested by man’s imagination, being as inconceivable as the co-existence of two opposite properties in one object; yet the existence of those same things, which cannot be represented by imagination, is nevertheless established by proof, and attested by their reality. E.g., Imagine a large globe, of any magnitude you like, even as large as the all-encompassing sphere; further an axis passing through the centre, and two persons standing on the two extremities of the axis in such a manner that their feet are in the same straight line with the axis, which may be either in the plane of the horizon or not; in the first case both persons would fall, in the second case one, namely the one who stands on the lower extremity would fall, the other would remain standing, as far as our imagination can perceive. It has however, already been proved that the earth has the form of a globe, that it is inhabited on both extremities of a certain diameter, that both the inhabitants have their heads towards the heaven, and their legs towards each other, and yet neither can possibly fall, nor can it be imagined; for it is incorrect to say that the one extremity is above, the other below; but the term “above” and “below” apply to both of them as regards their relative position to each other.

Similarly it has been proved in the second chapter of the book on Conic Sections, that two lines, which at first are at a certain distance from each other, may approach each other in the same proportion as they are produced further, and yet would never meet, even if they were produced to infinity, although they are observed to be constantly converging. This is a fact which cannot easily be conceived, and which does not come within the scope of imagination. Of these two lines the one is straight, the other curved, as stated in the aforementioned book. It has consequently been proved that things which cannot be perceived or imagined, and which would be found impossible if tested solely by imagination, are nevertheless in real existence. The non-existence of things which are represented by imagination as possible has likewise been established by proof, e.g., the corporeality of God, and His existence as a force residing in a body. Imagination perceives nothing except bodies, or properties inherent in bodies.

It has thus been clearly shown that in man exists a certain faculty which is entirely distinct from imagination, and by which the necessary, the possible, and the impossible can be distinguished from each other. This inquiry is most useful. It is of the greatest profit to him who desires to guard himself against the errors of men guided by imagination! Do not think that the Mutakallemim ignore this altogether; to some extent they do take it into consideration; they know it, and call that which can be imagined without having reality—as, e.g., the corporeality of God—a phantom and a fancy; they state frequently that such phantoms are not real. It is for this reason that they advance the first nine propositions and establish on them the proof of the tenth, according to which all those imaginable things which they wish to admit as possible are really possible, because of the similarity of all atoms and the equality of all accidents as regards their accidentality, as we have explained.

Consider, O reader, and bear in mind that this requires deep research. For there are certain notions which some believe to be founded on reason, while others regard them as mere fictions. In such cases it would be necessary to find something that could show the difference between conceptions of the intellect and mere imaginary fancies. When the philosopher, in his way of expressing himself, contends, “Reality is my evidence; by its guidance I examine whether a thing is necessary, possible, or impossible,” the religionist replies, “This is exactly the difference between us; that which actually exists, has, according to my view, been produced by the will of the Creator, not by necessity; just as it has been created with that special property, it might have been created with any other property, unless the impossibility which you postulate be proved by a logical demonstration.” About this admissibility (of imaginable things) I shall have to say more, and I shall return to it in various parts of this treatise; for it is not a subject which should be rejected in haste and on the spur of the moment. Eleventh Proposition.

“The existence of the infinite is in every respect impossible.” The following is an explanation of this proposition. The impossibility of the existence of an infinite body has been clearly demonstrated; the same can be said of an infinite number of bodies, though each of them be finite, if these beings, infinite in number, exist at the same time; equally impossible is the existence of an infinite series of causes, namely, that a certain thing should be the cause of another thing, but itself the effect of another cause, which again is the result of another cause, and so on to infinity, or that things in an infinite series, either bodies or ideals, should be in actual existence, and in causal relation to each other. This causal relation is the essential order of nature, in which, as has been fully proved, the infinite is impossible. As regards the virtual and the accidental existence of the infinite, it has been established in some cases; it has been proved, e.g., that a body can virtually be divided ad infinitum, also that time can be divided ad infinitum; in other cases it is still an open question, as, e.g., the existence of the infinite in succession, which is called the accidental infinite, i.e., a series of things in which one thing comes forth when the other is gone, and this again in its turn succeeded a thing which had ceased to exist, and so on ad infinitum. This subject requires deep research.

Those who boast that they have proved the eternity of the Universe say that time is infinite; an assertion which is not necessarily erroneous; for only when one atom has ceased to exist, the other follows. Nor is it absolutely wrong, when they assert, that the accidents of the substance succeed each other in an infinite series, for these accidents do not co-exist, but come in succession one after the other, and the impossibility of the infinite in that case has not been proved. The Mutakallemim, however, make no difference between the existence of an infinite body and the divisibility of a body or of time ad infinitum, between the co-existence of an infinite number of things, as e.g., the individual human beings who exist at present, and the infinite number of beings successively existing, as, e.g., Reuben the son of Jacob, and Jacob the son of Isaac, and Isaac the son of Abraham, and so on to infinity. This is according to their opinion as inadmissible as the first case; they believe these four forms of the infinite to be quite equal. Some of the Mutakallemim endeavour to establish their proposition concerning the last named form of the infinite, and to demonstrate its impossibility by a method which I shall explain in this treatise; others say that this impossibility is a self-evident axiom and requires no further proof. But if it were undoubtedly wrong to assume that an infinite number of things can exist in succession, although that link of the series which exists at present is finite, the inadmissibility of the eternity of the Universe would be equally self-evident, and would not require for its proof any other proposition. This, however, is not the place for investigating the subject.

“The senses are not always to be trusted.” For two reasons the Mutakallemim find fault with the perception of the senses. First, the senses are precluded from perceiving many objects, either on account of the smallness of the objects—this is the case with the atoms, as we have already stated—or on account of the remoteness of the objects from the person who desires to perceive them; e.g., we cannot see, hear, or smell at a distance of many miles; nor do we perceive the motion of the heavens. Secondly, the senses misapprehend the objects of their perception: a large object appears small from a distance; a small object immersed in water appears larger; a crooked thing appears straight when partly placed in water, and partly out of it; things appear yellow to a person suffering from jaundice; sweet things are bitter to him whose tongue has imbibed red gall; and they mention many other things of this kind. Therefore they say, we cannot trust our senses so far as to establish any proof on their perceptions. You must not believe that the Mutakallemim had no purpose in agreeing upon this proposition, or as most of the later adherents of that school affirm, that the first Mutakallemim had no ulterior object in endeavouring to prove the existence of atoms. On the

contrary, every proposition here mentioned is indispensable; if one of these be rejected, the whole theory falls to the ground. The last-mentioned proposition is of particular importance; for when our senses perceive things by which any of the foregoing propositions are confuted, the Mutakallemim say that no notice should be taken of the perception of the senses so long as the proposition is supported by the testimony of the intellect, and established (as they believe) by proof. Thus they say that the continuous motion is interrupted by moments of rest; that the millstone in its motion is broken into atoms; that the white colour of a garment ceases to exist, and another whiteness comes in its stead. All these theories are contrary to what the eye perceives, and many inferences are drawn from the assumed existence of a vacuum, all of which are contradicted by the senses. The Mutakallemim, however, meet these objections by saying, whenever they can do so, that the perception of these things is withheld from the senses; in other instances they maintain that the contradiction has its source in the deceptive character of the senses. You know that this theory is very ancient, and was the pride of the sophists, who asserted that they themselves were its authors; this is stated by Galenus in his treatise

on natural forces; and you know well what he says of those who will not admit the evidence of the senses.

Having discussed these propositions, I now proceed to explain the theory of the Mutakallemim concerning the above-mentioned four problems.

In this chapter will be given an outline of the proofs by which the Mutakallemim attempt to demonstrate that the universe is not eternal. You must of course not expect that I shall quote their lengthy arguments verbatim; I only intend to give an abstract of each proof, to show in what way it helps to establish the theory of the creatio ex nihilo or to confute the eternity of the universe, and briefly to notice the propositions they employed in support of their theory. If you were to read their well-known and voluminous writings, you would not discover any arguments with which they support their view left unnoticed in the present outline, but you might find there greater copiousness of words combined with more grace and elegance of style; frequently they employ rhyme, rhythm, and poetical diction, and sometimes mysterious phrases which perhaps are intended to startle persons listening to their discourses, and to deter those who might otherwise criticize them. You would also find many repetitions; questions propounded and, as they believe, answered, and frequent attacks on those who differ from their opinions. The First Argument.

Some of the Mutakallemim thought that by proving the creation of one thing, they demonstrated the creatio ex nihilo in reference to the entire universe. E.g., Zaid, who from a small molecule had gradually been brought to a state of perfection, has undoubtedly not effected this change and development by his own efforts, but owes it to an external agency. It is therefore clear that an agent is required for such organization and successive transmutation. A palm-tree or any other object might equally be selected to illustrate this idea. The whole universe, they argue, is analogous to these instances. Thus you see how they believe that a law discovered in one thing may equally be applied to everything. The Second Argument.

This argument is likewise based on the belief that the proof by which the creation of one thing is demonstrated, holds good for the creatio ex nihilo in reference to the whole universe. E.g., a certain individual, called Zaid, who one time was not yet in existence, subsequently came into existence; and if it be assumed that Amr, his father, was the cause of his existence, Amr himself must likewise have passed from non-existence into existence; suppose then that Zaid’s father unquestionably owed his origin to Khaled, Zaid’s grandfather, it would be found that Khaled himself did not exist from eternity, and the series of causes could thus be carried back to infinity. But such an infinite series of beings is inadmissible according to the theory of the Mutakallemim, as we have shown in our discussion of the eleventh proposition. In continuing this species of reasoning, you come to a first man, who had no parent, viz. Adam. Then you will of course ask, whence came this first man? If, e.g., the reply be given that he was made out of earth, you will again inquire, “Whence came that earth?” “Out of water.” “Whence came the water?” The inquiry would be carried on, either ad infinitum, which is absurd, or until you meet with a something that came into existence from absolute non-existence; in this latter case you would arrive at the real truth; here the series of inquiries ends. This result of the question proves, according to the opinion of the Mutakallemim, that the whole universe came into existence from absolute non-existence.

The Third Argument. The atoms of things are necessarily either joined together or separate, and even the same atoms may at one time be united at another disunited. It is therefore evident that the nature of the atoms does not necessitate either their combination or their separation; for if they were separate by virtue of their nature they would never join, and if they were joined by virtue of their nature, they could never again be separated. Thus there is no reason why atoms should rather be combined than separate, or vice versâ, why rather in a state of separation than of combination. Seeing that some atoms are joined, others separate, and again others subject to change, they being combined at one time and separated at another, the fact may therefore be taken as a proof that the atoms cannot combine or separate without an agent. This argument, according to the opinion of the Mutakallemim, establishes the theory that the universe has been created from nothing. You have already been told, that those who employ this argument rely on the first proposition of the Mutakallemim with its corollaries. The Fourth Argument.

The whole Universe is composed of substance and accidents; every substance must possess one accident or more, and since the accidents are not eternal, the substance, the substratum of the accidents, cannot be eternal; for that which is joined to transient things and cannot exist without them is itself transient. Therefore the whole Universe has had a beginning. To the objection, that the substance may possibly be eternal while the accidents, though in themselves transient, succeed each other in an infinite series, they reply that, in this case, an infinite number of transient things would be in existence, an eventuality which, according to their theory, is impossible. This argument is considered by them the best and safest, and has been accepted by many of them as a strict proof. Its acceptance implies the admission of the following three propositions, the object of which is well understood by philosophers. (1) An infinite series of things, of which the one succeeds when the other has ceased to exist, is impossible. (2) All accidents have a beginning.—Our opponent, who defends the theory of the eternity of the universe, can refute this proposition by pointing to one particular accident, namely to the circular motion of the sphere; for it is held by Aristotle that this circular motion is eternal, and, therefore, the spheres which perform this motion are, according to his opinion, likewise eternal. It is of no use to prove that all other accidents have a beginning;

for our opponent does not deny this; he says that accidents may supervene an object which has existed from eternity, and may follow each other in rotation. He contents himself with maintaining that this particular accident, viz., circular motion, the motion of the heavenly sphere, is eternal, and does not belong to the class of transient accidents. It is therefore necessary to examine this accident by itself, and to prove that it is not eternal. (3) The next proposition which the author of this argument accepts is as follows: Every material object consists of substance and accidents, that is to say, of atoms and accidents in the sense in which the Mutakallemim use the term. But if a material object were held to be a combination of matter and form, as has been proved by our opponent, it would be necessary to demonstrate that the primal matter and the primal form are transient, and only then the proof of the creatio ex nihilo would be complete.

This argument is based on the theory of Determination, and is made much of by the Mutakallemim. It is the same as the theory which I explained in discussing the tenth proposition. Namely, when they treat either of the Universe in general, or of any of its parts, they assume that it can have such properties and such dimensions as it actually has; that it may receive such accidents as in reality are noticed in it, and that it may exist in such a place and at such a time as in fact is the case; but it may be larger or smaller, may receive other properties and accidents, and come to existence at an earlier or a later period, or in a different place. Consequently, the fact that a thing has been determined in its composition, size, place, accident and time—a variation in all these points being possible—is a proof that a being exists which freely chooses and determines these divers relations; and the circumstance that the Universe or a part of it requires a being able to make this selection, proves that the Universe has been created ex nihilo. For there is no difference which of the following expressions is used: to determine, to make, to create, to produce, to originate, or to intend; these verbs have all

one and the same meaning. The Mutakallemim give a great many examples, both of a general and a special character. They say it is not more natural for earth to be under water than to be above water; who then determined its actual position? Or, is it more natural that the sun is round than that it should be square or triangular; for all qualities have the same relation to a body capable of possessing them. Who then determined one particular quality? In a similar way they treat of every individual being; when, e.g., they notice flowers of different colours, they are unable to explain the phenomenon, and they take it as a strong proof in favour of their theory; they say, “Behold, the earth is everywhere alike, the water is alike; why then is this flower red and that one yellow?” Some being must have determined the colour of each, and that being is God. A being must therefore exist which determines everything, both as regards the Universe generally, and each of its parts individually. All this is the logical consequence of the tenth proposition. The theory of determination is moreover adopted by some of those who assume the eternity of the Universe, as will be explained below. In conclusion, I consider this to be the best argument; and

in another part I shall more fully acquaint you with the opinion I have formed concerning the theory of Determination.

One of the modern Mutakallemim thought that he had found a very good argument, much better than any advanced hitherto, namely, the argument based on the triumph of existence over non-existence. He says that, according to the common belief, the existence of the Universe is merely possible; for if it were necessary, the Universe would be God—but he seems to forget that we are at issue with those who, whilst they believe in the existence of God, admit at the same time the eternity of the Universe.—The expression “A thing is possible” denotes that the thing may either be in existence or not in existence, and that there is not more reason why it should exist than why it should not exist. The fact that a thing, the existence of which is possible, actually does exist—although it bears the same relation to the state of existence as to that of non-existence—proves that there is a Being which gave the preference to existence over non-existence. This argument is very forcible; it is a modified form of the foregoing argument which is based on the theory of determination. He only chose the term “preference” instead of “determination,” and instead of applying it to the properties of the existing being he applies it to “the existence of the being itself.” He either had

the intention to mislead, or he misunderstood the proposition, that the existence of the Universe is possible. Our opponent who assumes the eternity of the Universe, employs the term “possible,” and says, “the existence of the Universe is possible” in a sense different from that in which the Mutakallem applies it, as will be explained below. Moreover it may be doubted whether the conclusion, that the Universe owes its origin to a being which is able to give preference to existence over non-existence, is correct. For we may apply the terms “preference” and “determination” to anything capable of receiving either of two properties which are contrary or opposed to each other; and when we find that the thing actually possesses one property and not the other, we are convinced that there exists a determining agent. E.g., you say that a piece of copper could just as well be formed into a kettle as into a lamp; when we find that it is a lamp or a kettle, we have no doubt that a deciding and determining agent had advisedly chosen one of the two possible forms; for it is clear that the substance of copper existed, and that before the determination took place it had neither of the two possible forms which have just been mentioned. When, however, it is

the question whether a certain existing object is eternal, or whether it has passed from non-existence into existence, this argument is inadmissible; for it cannot be asked who decided in favour of the existence of a thing, and rejected its non-existence, except when it has been admitted that it has passed from non-existence into existence; in the present case this is just the point under discussion. If we were to take the existence and the non-existence of a thing as mere objects of imagination, we should have to apply the tenth proposition which gives prominence to imagination and fiction, and ignores the things which exist in reality, or are conceived by the intellect. Our opponent, however, who believes in the eternity of the Universe, will show that we can imagine the non-existence of the universe as well as we can imagine any other impossibility. It is not my intention to refute their doctrine of the creatio ex nihilo: I only wish to show the incorrectness of their belief that this argument differs from the one which precedes; since in fact the two arguments are identical, and are founded on the well-known principle of determination.

One of the modern Mutakallemim says that he is able to prove the creation of the Universe from the theory put forth by the philosophers concerning the immortality of the soul. He argues thus: If the world were eternal the number of the dead would necessarily be infinite, and consequently an infinite number of souls would coexist, but it has long since been shown that the coexistence of an infinite number of things is positively impossible. This is indeed a strange argument! One difficulty is explained by another which is still greater! Here the saying, well known among the Arameans, may be applied: “Your guarantee wants himself a guarantee.” He rests his argument on the immortality of the soul, as though he understood this immortality, in what respect the soul is immortal, or what the thing is which is immortal! If, however, he only meant to controvert the opinion of his opponent, who believed in the eternity of the Universe, and also in the immortality of the soul, he accomplished his task, provided the opponent admitted the correctness of the idea which that Mutakallem formed of the philosopher’s view on the immortality of the soul. Some of the later philosophers explained this difficulty as follows: the immortal souls are not substances which occupy a locality or a space, and their

existence in an infinite number is therefore not impossible. You must bear in mind that those abstract beings which are neither bodies nor forces dwelling in bodies, and which in fact are ideals—are altogether incapable of being represented as a plurality unless some ideals be the cause of the existence of others, and can be distinguished from each other by the specific difference that some are the efficient cause and others the effect; but that which remains of Zaid [after his death] is neither the cause nor the effect of that which is left of Amr, and therefore the souls of all the departed form only one being as has been explained by Ibn Bekr Ibn Al-zaig, and others who ventured to speak on these profound subjects. In short, such intricate disciplines, which our mind can scarcely comprehend, cannot furnish any principles for the explanation of other subjects.—It should be noted that whoever endeavours to prove or to disprove the eternity of the Universe by these arguments of the Mutakallemim, must necessarily rely on one of the two following propositions, or on both of them; namely on the tenth proposition, according to which the actual form of a thing is merely one of many equally possible forms, and which implies that there must be a being capable of making the

special selection; or on the eleventh proposition which rejects the existence of an infinite series of things coming successively into existence. The last-named proposition is demonstrated in various ways, e.g., they advert to a class of transient individuals, and to a certain particular date. From the theory which asserts the eternity of the Universe, it would follow that the individuals of that class up to that particular date are infinite in number; a thousand years later the individuals of that class are likewise infinite in number; the last number must exceed the previous one by the number of the individuals born in those thousand years, and consequently one infinite number would be larger than another. The same argument is applied to the revolutions of the heavenly sphere, and in like manner it is shown that one infinite number of revolutions would be larger than another; the same result is obtained when revolutions of one sphere are compared with those of another moving more slowly; the revolutions of both spheres [though unequal] would be infinite in number. Similarly they proceed with all those accidents which are subject to destruction and production; the individual accidents that have passed into non-existence are counted and represented as though they were still in existence, and as though they were things with a definite beginning; this

imaginary number is then either increased or reduced. Yet all these things have no reality and are mere fictions. Abunazar Alfarabi in criticizing this proposition, has exposed all its weak points, as you will clearly perceive, when you study his book on the changeable beings earnestly and dispassionately. These are the principal arguments of the Mutakallemim in seeking to establish the creatio ex nihilo. Having thus proved that the Universe is not eternal, they necessarily infer that there is an Agens who created it in accordance with His intention, desire and will. They then proceed to prove the unity of that Agens as I am going to point out in the next chapter.

In this chapter I shall explain to you how the Mutakallemim prove the Unity of God. They contend that the Maker and Creator of the Universe, the existence of whom is testified by all nature, is One. Two propositions are employed by them in demonstrating the Unity of God, viz., two deities or more would neutralize each other, and if several deities existed they would be distinguished from each other by a specific difference. First Argument.

The first argument is that of mutual neutralization, and is employed by the majority of the Mutakallemim. It is to the following effect:—If the Universe had two Gods, it would necessarily occur that the atom—subject to a combination with one or two opposite qualities—either remained without either of them, and that is impossible, or, though being only one atom, included both qualities at the same time, and that is likewise impossible. E.g., whilst one of the two deities determined that one atom or more should be warm, the other deity might determine that the same should be cold; the consequence of the mutual neutralization of the two divine beings would thus be that the atoms would be neither warm nor cold—a contingency which is impossible, because all bodies must combine with one of two opposites; or they would be at the same time both warm and cold. Similarly, it might occur that whilst one of the deities desired that a body be in motion, the other might desire that it be at rest; the body would then be either without motion and rest, or would both move and rest at the same time. Proofs of this kind are founded on the atomic theory contained in the first proposition of the Mutakallemim, on the proposition which refers to the creation of

the accidents, and on the proposition that negatives are properties of actual existence and require for their production an agens. For if it were assumed that the substance of this world which, according to the philosophers is subject to successive production and destruction, is different from the substance of the world above, viz., from the substance of the spheres—a fact established by proof—and that as the Dualists assert, there are two divine beings, one of whom rules this world without influencing the spheres, whilst the other governs the world above without interfering with this world—such theory would not involve the mutual neutralization of the two deities. If it were then objected, that the existence of two deities would necessitate an imperfection in both of them, in so far as one deity would be unable to influence the province of the other, the objection would be met by the reply that this inability need not be considered a defect in either of them; for that which is not included within the sphere of action of a being can of course not be performed by that being, and an agens is not deficient in power, if it is unable to perform what is intrinsically impossible. Thus we, Monotheists, do not consider it a defect in God, that He does not combine two

opposites in one object, nor do we test His omnipotence by the accomplishment of any similar impossibility. When the Mutakallemim noticed the weakness of their argument, for which they had some apparent support, they had recourse to another argument.

Second Argument. If there were two Gods, there would necessarily be some element common to both, whilst some element present in the one would be absent in the other, and constitute the specific difference between them. This is a philosophic and sound argument for those who are able to examine it, and to obtain a clear insight into its premises, which will be further explained, in our exposition of the view of the philosophers on this point. But it cannot be accepted by those who admit the existence of divine attributes. For according to their opinion, the Primal Cause includes many different elements. They represent its wisdom and its omnipotence as two different things, and again the omnipotence as different from the will. Consequently it would not be impossible that either of the two divine beings possessed several properties, some of which would be common to both, and some peculiar to only one of them. Third Argument.

This argument is likewise based on one of the Propositions of the Kalâm. For some of the Mutakallemim belonging to the old school assume, that when the Creator wills a thing, the will is not an element superadded to the essence of God: it is a will without a substratum. In accordance with the propositions which we have mentioned, and of which, as you will see, it is difficult to form a true conception, they say that one will, which is independent of any substratum, cannot be ascribed to two beings; for, as they assert, one cause cannot be the source of two laws for two essences. This is, as I told you, the method of explaining one difficulty by means of another and still greater difficulty. For as they define the Will, it is inconceivable, and some have, therefore, considered it to be a mere non-entity; others who admit its existence, meet with many insuperable difficulties. The Mutakallemim, nevertheless, establish on its existence one of the proofs for the unity of God. Fourth Argument.

The existence of an action is necessarily positive evidence of the existence of an agens, but does not prove the existence of more than one agens. There is no difference whether the existence of one God be assumed or the existence of two, or three, or twenty, or any number. This is plain and clear. But the argument does not seem to prove the non-existence of a multitude of deities; it only shows that their number is unknown; the deity may be one sole being, but may also include several divine beings. The following supplemental argument has therefore been advanced: possibility is inapplicable to the existence of God, which is absolute; the possibility of the existence of more than one God must therefore be denied. This is the whole essence of the proof, and its fallacy is self-evident; for although the notion of possibility cannot be applied to the existence of God, it can be applied to our knowledge of God: for an alternative in our knowledge of a thing does not involve an alternative in the actual existence of the thing, and perhaps there is neither a tripartite deity as the Christians believe, nor an undivided Unity as we believe. This is clear to those who have been taught to notice the conclusions implied in given premises. Fifth Argument.

One of the modern Mutakallemim thought that he found a proof of the Unity of God in the idea of requisiteness. Suppose there were two divine beings; if one of them were able to create the universe, the second God would be superfluous, and there would be no need for his existence. If, on the other hand, the entire universe could not be created or governed except by both of them, each of them would be imperfect in so far as he would require the co-operation of another being, and would thus be limited in power. This argument is, in fact, only a variation of “the mutual neutralization of two deities.” There is this difficulty in such proofs, that a certain degree of imperfection is ascribed to a Being which does not accomplish tasks beyond its sphere. We do not call a person weak because he cannot move a thousand hundredweights, and we do not say that God is imperfect because He cannot transform Himself into a body, or cannot create another being like Himself, or make a square whose diagonal should be equal to one of its sides. In the same manner we should not consider it an imperfection in God, if He were not the only Creator, and if it were absolutely necessary that there should be two

Creators; not because the one God required the assistance of the other, but because the existence of both of them was equally necessary, and because it was impossible that it should be otherwise. Further we do not say that the Almighty is imperfect, because He does not, according to the opinion of the Mutakallemim, produce a body otherwise than by the creation of atoms, and by their combination with accidents created in them. That inability is not called want or imperfection, since another process is impossible. In like manner the Dualist might say, that it is impossible for one Being to act alone, and that this circumstance constitutes no imperfection in either of the Deities, because the absolute existence of one Deity necessitates the co-existence of the other. Some of the Mutakallemim, weary of these arguments, declared that the Unity of God is a doctrine which must be received as a matter of faith, but most of them rejected this theory, and reviled its authors. I, however, hold, that those who accept this theory are right-minded, and shrink from admitting an erroneous opinion; when they do not perceive any cogency in the arguments, and find that the proofs advanced in favour of the doctrine are inconclusive, they prefer to assume that it could only be received as a matter of

faith. For the Mutakallemim do not hold that the Universe has any defined properties on which a true proof could be founded, or that man’s intellect is endowed with any such faculty as would enable him to form correct conclusions. It is, however, not without a motive that they defend this theory; they wish to assume such a form of the Universe, as could be employed to support a doctrine for which otherwise no proof could be found, and would lead us to neglect the investigation of that which in fact can be proved. We can only appeal to the Almighty and to those intelligent persons who confess their error when they discover it.

The reasonings and arguments of the Mutakallemim to demonstrate the Incorporeality of God are very weak, and indeed inferior to their arguments for the Unity of God. They treat the doctrine of the Incorporeality of God as if it were the logical sequence of the theory of His Unity, and they say that the attribute “one” cannot be applied to a corporeal object. Those who maintain that God is incorporeal because a corporeal object consists of substance and form—a combination known to be impossible in the Divine Being, are not in my opinion Mutakallemim, and such an argument is not founded on the propositions of the Kalâm; on the contrary, it is a logical proof based on the theory of substance and form, and on a right conception of their properties. It has the character of a philosophical argument, and I shall fully explain it when treating of the arguments of the philosophers. Here we only propose to discuss the arguments by which the Mutakallemim desire to prove the Incorporeality of God in accordance with their propositions and the method of their reasoning. First Argument.

If God were corporeal, His true essence would necessarily either exist entirely in every part of the body, that is to say, in each of its atoms, or would be confined to one of the atoms. In the latter alternative the other atoms would be superfluous, and the existence of the corporeal being [with the exception of the one atom] would be of no purpose. If, on the other hand, each atom fully represented the Divine Being, the whole body would not be one deity, but a complex of deities, and this would be contrary to the doctrine adopted by the Kalām that God is one. An examination of this argument shows that it is based on the first and fifth propositions. But there is room for the following objection: “God does not consist of atoms, that is to say, He is not, as you assert, composed of a number of elements created by Himself, but is one continuous body, and indivisible except in man’s imagination, which affords no test; for in man’s imagination the substance of the heavens may be torn or rent asunder. The philosopher holds that such a possibility results from assuming a similarity and an analogy between the visible, i.e., the bodies which exist among us, and the invisible.” Second Argument.

This argument, they believe, is of great importance. Its main support is the impossibility of comparison, i.e., the belief that God cannot be compared to any of His creatures; and that He would be comparable to other corporeal objects if He were corporeal. They put great stress on this argument, and say as follows: “If it were asserted that God is corporeal, but that His substance is not like that of other corporeal beings, it would be self-contradictory; for all bodies are alike as regards their substance, and are distinguished from each other by other things, viz., the accidents.” They also argue that if God were corporeal it would follow that He has created another being like Himself. This argument is refuted in two ways. First, the objector does not admit the impossibility of comparison; he asks how it could be proved that God cannot be compared to any of His creatures. No doubt that, in support of their view, that a comparison between the Almighty and any other being is inadmissible, they would have to cite the words of the Prophets, and thus accept this doctrine by the authority of tradition, not by the authority of reason. The argument that God, if comparable to any of His creatures, would be found to have created beings like Himself, is refuted

by the objector in the following way: “The created things are not like Him in every respect; for I do not deny that God has many properties and peculiarities.” For he who admits the corporeality of God does not deny the existence of properties in the divine Being. Another and more forcible argument is this: All who have studied philosophy, and have made themselves thoroughly acquainted with philosophical theories, assume as demonstrated facts, first that the term substance, when applied to the spheres above and to, the corporeal objects here on earth is a perfect homonym, for the substance of the one is not the substance of the other; and secondly that the forms of the things on this earth are different from the forms of the spheres; the terms substance and form when applied both to things below and to the spheres above are homonyms; although there is no doubt that the spheres have [like the things below, three] dimensions, they are corporeal because they consist of substance and form, not because they have dimensions. If this explanation is admitted with reference to the spheres, how much more is he who believes that God is corporeal justified in saying that God is a corporeal being which has dimensions, but which in its substance, its true nature and properties is

very different from all created bodies, and that the term “substance” is applied to Him and to His creatures homonymously, in the same manner as the true believers, who have a correct conception of the divine idea, apply the term “existence” homonymously to Him and to His creatures. The Corporealists do not admit that all bodies consist of similar atoms; they believe that God created all things, and that these differ from each other both in their substances and in their constituent properties; and just as the substance of dung differs from the substance of the sun, so does, according to this theory, the substance of the spheres and the stars differ from the substance of the created light, i.e., the Divine Glory (Shechinah), and again the substance of the Divine Glory, or the pillar of cloud created [for the purpose], differ from the substance of the Most High; for the substance of the latter is sublime, perfect, simple, constant and immutable. His absolute existence remains always the same, and He creates all things according to His will and desire. How could this argument, though it be weak, be refuted by these strange methods of the Mutakallemim, which I pointed out to you?

If God were corporeal, He would be finite, and so far this argument is correct; if He were finite, He would have certain dimensions and a certain form; this is also a correct conclusion. But they continue thus: Attribute to God any magnitude or form whatever: He might be either larger or smaller, and might also have a different form. The fact that He has one special magnitude and one special form presupposes the existence of a determining agens. I have heard that they attach great importance to this argument, but in truth it is the weakest of all the arguments mentioned above. It is founded on the tenth proposition, the feebleness of which in ignoring the actual properties of things, we have clearly shown in regard to ordinary beings and must be much more evident in regard to the Creator. There is no difference between this argument and their assertion that the fact of the existence of the Universe having been preferred to its non-existence proves the existence of an agens that preferred the existence of the Universe to its non-existence at a time when both were equally possible. If it were asked why this argument should not be applied to God—viz., that His mere existence proved the existence of an agens which determined His existence and rejected His non-existence—they would undoubtedly answer that this admission would only lead to a repetition of the same argument until at length a being be found whose existence is not merely potential but necessary, and which does not require a causa efficiens.

But this same answer can also be applied to dimensions and to form. It can only be said in reference to all other forms and magnitudes, the existence of which is possible, that is to say which came into existence after a state of non-existence, that they might have been larger or smaller than they actually are, or that they might have had a form different from that which they actually possess, and require for this reason some determining agens. But the forms and dimensions of God (who is above all imperfection and similitude)! did not come into existence according to the opinion of the Corporealist after a state of non-existence, and therefore no determining agens was necessary; His substance with its dimensions and forms has a necessary existence; no agens was required to decide upon His existence, and to reject His non-existence, since non-existence is altogether inadmissible in God. In like manner there was no force required to determine His magnitude and form, they were absolutely inseparable from His existence.

If you wish to go in search of truth, to cast aside your passions, your tradition, and your fondness of things you have been accustomed to cherish, if you wish to guard yourself against error: then consider the fate of these speculators and the result of their labours; observe how they rushed, as it were, from the ashes into the fire. They denied the nature of the existing things, misrepresented the properties of heaven and earth, and thought that they were able, by their propositions, to prove the creation of the world, but in fact they were far from proving the creatio ex nihilo, and have weakened the arguments for the existence, the unity, and the incorporeality of God. The proofs of all these doctrines must be based on the well-known nature of the existing things, as perceived by the senses and the intellect.

Having thus discussed the arguments of the Mutakallemim, we shall now proceed to consider the propositions of the philosophers and their arguments for the existence of God, His Unity and His Incorporeality, and we shall for the present assume the Eternity of the Universe without finally accepting it. Next to this we shall develop our own method, which is the result of deep study, in demonstrating these three principles, and we shall then examine the theory of the Eternity of the Universe as assumed by the philosophers.

Twenty-five of the propositions which are employed in the proof for the existence of God, or in the arguments demonstrating that God is neither corporeal nor a force connected with a material being, or that He is One, have been fully established, and their correctness is beyond doubt. Aristotle and the Peripatetics who followed him have proved each of these propositions. There is, however, one proposition which we do not accept—namely, the proposition which affirms the Eternity of the Universe, but we will admit it for the present, because by doing so we shall be enabled dearly to demonstrate our own theory. Proposition I. The existence of an infinite magnitude is impossible. Proposition II. The co-existence of an infinite number of finite magnitudes is impossible. Proposition III. The existence of an infinite number of causes and effects is impossible, even if these were not magnitudes; if, e.g., one Intelligence were the cause of a second, the second the cause of a third, the third the cause of a fourth, and so on, the series could not be continued ad infinitum. Proposition IV. Four categories are subject to change:— (a.) Substance.—Changes which affect the substance of a thing are called genesis and destruction. (b.) Quantity.—Changes in reference to quantity are increase and decrease.

(c.) Quality.—Changes in the qualities of things are transformations. (d.) Place.—Change of place is called motion. The term “motion” is properly applied to change of place, but is also used in a general sense of all kinds of changes. Proposition V. Motion implies change and transition from potentiality to actuality. Proposition VI.

The motion of a thing is either essential or accidental; or it is due to an external force, or to the participation of the thing in the motion of another thing. This latter kind of motion is similar to the accidental one. An instance of essential motion may be found in the translation of a thing from one place to another. The accident of a thing, as, e.g., its black colour, is said to move when the thing itself changes its place. The upward motion of a stone, owing to a force applied to it in that direction, is an instance of a motion due to an external force. The motion of a nail in a boat may serve to illustrate motion due to the participation of a thing in the motion of another thing; for when the boat moves, the nail is said to move likewise. The same is the case with everything composed of several parts: when the thing itself moves, every part of it is likewise said to move. Proposition VII. Things which are changeable are, at the same time, divisible. Hence everything that moves is divisible, and consequently corporeal; but that which is indivisible cannot move, and cannot therefore be corporeal. Proposition VIII.

A thing that moves accidentally must come to rest, because it does not move of its own accord; hence accidental motion cannot continue for ever. Proposition IX. A corporeal thing that sets another corporeal thing in motion can only effect this by setting itself in motion at the time it causes the other thing to move. Proposition X. A thing which is said to be contained in a corporeal object must satisfy either of the two following conditions: it either exists through that object, as is the case with accidents, or it is the cause of the existence of that object; such is, e.g., its essential property. In both cases it is a force existing in a corporeal object. Proposition XI. Among the things which exist through a material object, there are some which participate in the division of that object, and are therefore accidentally divisible, as, e.g., its colour, and all other qualities that spread throughout its parts. On the other hand, among the things which form the essential elements of an object, there are some which cannot be divided in any way, as, e.g., the soul and the intellect. Proposition XII. A force which occupies all parts of a corporeal object is finite, that object itself being finite. Proposition XIII.

None of the several kinds of change can be continuous, except motion from place to place, provided it be circular. Proposition XIV. Locomotion is in the natural order of the several kinds of motion the first and foremost. For genesis and corruption are preceded by transformation, which, in its turn, is preceded by the approach of the transforming agent to the object which is to be transformed. Also, increase and decrease are impossible without previous genesis and corruption. Proposition XV. Time is an accident that is related and joined to motion in such a manner that the one is never found without the other. Motion is only possible in time, and the idea of time cannot be conceived otherwise than in connexion with motion; things which do not move have no relation to time. Proposition XVI. Incorporeal bodies can only be numbered when they are forces situated in a body; the several forces must then be counted together with substances or objects in which they exist. Hence purely spiritual beings, which are neither corporeal nor forces situated in corporeal objects, cannot be counted, except when considered as causes and effects. Proposition XVII.

When an object moves, there must be some agent that moves it, from without, as, e.g., in the case of a stone set in motion by the hand; or from within, e.g., when the body of a living being moves. Living beings include in themselves, at the same time, the moving agent and the thing moved; when, therefore, a living being dies, and the moving agent, the soul, has left the body, i.e., the thing moved, the body remains for some time in the same condition as before, and yet cannot move in the manner it has moved previously. The moving agent, when included in the thing moved, is hidden from, and imperceptible to, the senses. This circumstance gave rise to the belief that the body of an animal moves without the aid of a moving agent. When we therefore affirm, concerning a thing in motion, that it is its own moving agent, or, as is generally said, that it moves of its own accord, we mean to say that the force which really sets the body in motion exists in that body itself. Proposition XVIII.

Everything that passes over from a state of potentiality to that of actuality, is caused to do so by some external agent; because if that agent existed in the thing itself, and no obstacle prevented the transition, the thing would never be in a state of potentiality, but always in that of actuality. If, on the other hand, while the thing itself contained that agent, some obstacle existed, and at a certain time that obstacle was removed, the same cause which removed the obstacle would undoubtedly be described as the cause of the transition from potentiality to actuality, [and not the force situated within the body]. Note this. Proposition XIX. A thing which owes its existence to certain causes has in itself merely the possibility of existence; for only if these causes exist, the thing likewise exists. It does not exist if the causes do not exist at all, or if they have ceased to exist, or if there has been a change in the relation which implies the existence of that thing as a necessary consequence of those causes. Proposition XX. A thing which has in itself the necessity of existence cannot have for its existence any cause whatever. Proposition XXI.

A thing composed of two elements has necessarily their composition as the cause of its present existence. Its existence is therefore not necessitated by its own essence; it depends on the existence of its two component parts and their combination. Proposition XXII. Material objects are always composed of two elements [at least], and are without exception subject to accidents. The two component elements of all bodies are substance and form. The accidents attributed to material objects are quantity, geometrical form, and position. Proposition XXIII. Everything that exists potentially, and whose essence includes a certain state of possibility, may at some time be without actual existence. Proposition XXIV. That which is potentially a certain thing is necessarily material, for the state of possibility is always connected with matter. Proposition XXV. Each compound substance consists of matter and form, and requires an agent for its existence, viz., a force which sets the substance in motion, and thereby enables it to receive a certain form. The force which thus prepares the substance of a certain individual being, is called the immediate motor.

Here the necessity arises of investigating into the properties of motion, the moving agent and the thing moved. But this has already been explained sufficiently; and the opinion of Aristotle may be expressed in the following proposition: Matter does not move of its own accord—an important proposition that led to the investigation of the Prime Motor (the first moving agent). Of these foregoing twenty-five propositions some may be verified by means of a little reflection and the application of a few propositions capable of proof, or of axioms or theorems of almost the same force, such as have been explained by me. Others require many arguments and propositions, all of which, however, have been established by conclusive proofs partly in the Physics and its commentaries, and partly in the Metaphysics and its commentary. I have already stated that in this work it is not my intention to copy the books of the philosophers or to explain difficult problems, but simply to mention those propositions which are closely connected with our subject, and which we want for our purpose.

To the above propositions one must be added which enunciates that the universe is eternal, and which is held by Aristotle to be true, and even more acceptable than any other theory. For the present we admit it, as a hypothesis, only for the purpose of demonstrating our theory. It is the following proposition:— Proposition XXVI. Time and motion are eternal, constant, and in actual existence.

In accordance with this proposition, Aristotle is compelled to assume that there exists actually a body with constant motion, viz., the fifth element. He therefore says that the heavens are not subject to genesis or destruction, because motion cannot be generated nor destroyed. He also holds that every motion must necessarily be preceded by another motion, either of the same or of a different kind. The belief that the locomotion of an animal is not preceded by another motion, is not true; for the animal is caused to move, after it had been in rest, by the intention to obtain those very things which bring about that locomotion. A change in its state of health, or some image, or some new idea can produce a desire to seek that which is conducive to its welfare and to avoid that which is contrary. Each of these three causes sets the living being in motion, and each of them is produced by various kinds of motion. Aristotle likewise asserts that everything which is created must, before its actual creation, have existed in potentiâ. By inferences drawn from this assertion he seeks to establish his proposition, viz., The thing that moves is finite, and its path finite; but it repeats the motion in its path an infinite number of times. This can only take place when the motion is circular, as has been stated in Proposition XIII. Hence follows also the existence of an infinite number of things which do not co-exist but follow one after the other.

Aristotle frequently attempts to establish this proposition; but I believe that he did not consider his proofs to be conclusive. It appeared to him to be the most probable and acceptable proposition. His followers, however, and the commentators of his books, contend that it contains not only a probable but a demonstrative proof, and that it has, in fact, been fully established. On the other hand, the Mutakallemim try to prove that the proposition cannot be true, as, according to their opinion, it is impossible to conceive how an infinite number of things could even come into existence successively. They assume this impossibility as an axiom. I, however, think that this proposition is admissible, but neither demonstrative, as the commentators of Aristotle assert, nor, on the other hand, impossible, as the Mutakallemim say. We have no intention to explain here the proofs given by Aristotle, or to show our doubts concerning them, or to set forth our opinions on the creation of the universe. I here simply desire to mention those propositions which we shall require for the proof of the three principles stated above. Having thus quoted and admitted these propositions, I will now proceed to explain what may be inferred from them.

According to Proposition XXV., a moving agent must exist which has moved the substance of all existing transient things and enabled it to receive Form. The cause of the motion of that agent is found in the existence of another motor of the same or of a different class, the term “motion,” in a general sense, being common to four categories (Prop. IV.). This series of motions is not infinite (Prop. III.); we find that it can only be continued till the motion of the fifth element is arrived at, and then it ends. The motion of the fifth element is the source of every force that moves and prepares any substance on earth for its combination with a certain form, and is connected with that force by a chain of intermediate motions. The celestial sphere [or the fifth element] performs the act of locomotion which is the first of the several kinds of motion (Prop. XIV.), and all locomotion is found to be the indirect effect of the motion of this sphere; e.g., a stone is set in motion by a stick, the stick by a man’s hand, the hand by the sinews, the sinews by the muscles, the muscles by the nerves, the nerves by the natural heat of the body, and the heat of the body by

its form. This is undoubtedly the immediate motive cause, but the action of this immediate cause is due to a certain design, e.g., to bring a stone into a hole by striking against it with a stick in order to prevent the draught from coming through the crevice. The motion of the air that causes the draught is the effect of the motion of the celestial sphere. Similarly it may be shown that the ultimate cause of all genesis and destruction can be traced to the motion of the sphere. But the motion of the sphere must likewise have been effected by an agent (Prop. XVII.) residing either without the sphere or within it; a third case being impossible. In the first case, if the motor is without the sphere, it must either be corporeal or incorporeal; if incorporeal, it cannot be said that the agent is without the sphere; it can only be described as separate from it; because an incorporeal object can only be said metaphorically to reside without a certain corporeal object. In the second case, if the agent resides within the sphere, it must be either a force distributed throughout the whole sphere so that each part of the sphere includes a part of the force, as is the case with the heat of fire; or

it is an indivisible force, e.g., the soul and the intellect (Props. X. and XI.). The agent which sets the sphere in motion must consequently be one of the following four things: a corporeal object without the sphere; an incorporeal object separate from it; a force spread throughout the whole of the sphere; or an indivisible force [within the sphere].

The first case, viz., that the moving agent of the sphere is a corporeal object without the sphere, is impossible, as will be explained. Since the moving agent is corporeal, it must itself move while setting another object in motion (Prop. IX.), and as the sixth element would likewise move when imparting motion to another body, it would be set in motion by a seventh element, which must also move. An infinite number of bodies would thus be required before the sphere could be set in motion. This is contrary to Proposition II. The third case, viz., that the moving object be a force distributed throughout the whole body, is likewise impossible. For the sphere is corporeal, and must therefore be finite (Prop. I.); also the force it contains must be finite (Prop. XII.), since each part of the sphere contains part of the force (Prop. XI.): the latter can consequently not produce an infinite motion, such as we assumed according to Proposition XXVI., which we admitted for the present.

The fourth case is likewise impossible, viz., that the sphere is set in motion by an indivisible force residing in the sphere in the same manner as the soul resides in the body of man. For this force, though indivisible, could not be the cause of infinite motion by itself alone; because if that were the case the prime motor would have an accidental motion (Prop. VI.). But things that move accidentally must come to rest (Prop. VIII.), and then the thing comes also to rest which is set in motion. (The following may serve as a further illustration of the nature of accidental motion. When man is moved by the soul, i.e., by his form, to go from the basement of the house to the upper storey, his body moves directly, while the soul, the really efficient cause of that motion, participates in it accidentally. For through the translation of the body from the basement to the upper storey, the soul has likewise changed its place, and when no fresh impulse for the motion of the body is given by the soul, the body which has been set in motion by such impulse comes to rest, and the accidental motion of the soul is discontinued). Consequently the motion of that supposed first motor must be due to some cause

which does not form part of things composed of two elements, viz., a moving agent and an object moved; if such a cause is present the motor in that compound sets the other element in motion; in the absence of such a cause no motion takes place. Living beings do therefore not move continually, although each of them possesses an indivisible motive element; because this element is not constantly in motion, as it would be if it produced motion of its own accord. On the contrary, the things to which the action is due are separate from the motor. The action is caused either by desire for that which is agreeable, or by aversion from that which is disagreeable, or by some image, or by some ideal when the moving being has the capacity of conceiving it. When any of these causes are present then the motor acts; its motion is accidental, and must therefore come to an end (Prop. VIII.). If the motor of the sphere were of this kind the sphere could not move ad infinitum. Our opponent, however, holds that the spheres move continually ad infinitum; if this were the case, and it is in fact possible (Prop. XIII.), the efficient cause of the motion of the sphere must, according to the above division, be of the

second kind, viz., something incorporeal and separate from the sphere.

It may thus be considered as proved that the efficient cause of the motion of the sphere, if that motion be eternal, is neither itself corporeal nor does it reside in a corporeal object; it must move neither of its own accord nor accidentally; it must be indivisible and unchangeable (Prop. VII. and Prop. V.). This Prime Motor of the sphere is God, praised be His name! The hypothesis that there exist two Gods is inadmissible, because absolutely incorporeal beings cannot be counted (Prop. XVI.), except as cause and effect; the relation of time is not applicable to God (Prop. XV.), because motion cannot be predicated of Him. The result of the above argument is consequently this: the sphere cannot move ad infinitum of its own accord; the Prime Motor is not corporeal, nor a force residing within a body; it is One, unchangeable, and in its existence independent of time. Three of our postulates are thus proved by the principal philosophers.

The philosophers employ besides another argument, based on the following proposition of Aristotle. If there be a thing composed of two elements, and the one of them is known to exist also by itself, apart from that thing, then the other element is likewise found in existence by itself separate from that compound. For if the nature of the two elements were such that they could only exist together—as, e.g., matter and form—then neither of them could in any way exist separate from the other. The fact that the one component is found also in a separate existence proves that the two elements are not indissolubly connected, and that the same must therefore be the case with the other component. Thus we infer from the existence of honey-vinegar and of honey by itself, that there exists also vinegar by itself. After having explained this Proposition Aristotle continues thus: We notice many objects consisting of a motor and a motum, i.e., objects which set other things in motion, and whilst doing so are themselves set in motion by other things; such is clearly the case as regards all the middle members of a series of things in motion. We also see a thing that is moved, but does not itself move anything, viz., the last member of the series; consequently a motor must exist without being at the same time a motum, and that is the Prime Motor, which, not being subject to motion, is indivisible, incorporeal, and independent of time, as has been shown in the preceding argument.

Third Philosophical Argument.—This is taken from the words of Aristotle, though he gives it in a different form. It runs as follows: There is no doubt that many things actually exist, as, e.g., things perceived with the senses. Now there are only three cases conceivable, viz., either all these things are without beginning and without end, or all of them have beginning and end, or some are with and some without beginning and end. The first of these three cases is altogether inadmissible, since we clearly perceive objects which come into existence and are subsequently destroyed. The second case is likewise inadmissible, for if everything had but a temporary existence all things might be destroyed, and that which is enunciated of a whole class of things as possible is necessarily actual. All things must therefore come to an end, and then nothing would ever be in existence, for there would not exist any being to produce anything. Consequently nothing whatever would exist [if all things were transient]; but as we see things existing, and find ourselves in existence we conclude as follows:—Since there are undoubtedly beings of a temporary existence, there must also be an eternal being that is not subject to destruction, and whose existence is real, not merely possible.

It has been further argued that the existence of this being is necessary, either on account of itself alone or on account of some external force. In the latter case its existence and non-existence would be equally possible, because of its own properties, but its existence would be necessary on account of the external force. That force would then be the being that possesses absolute existence (Prop. XIX.). It is therefore certain that there must be a being which has absolutely independent existence, and is the source of the existence of all things, whether transient or permanent, if, as Aristotle assumes, there is in existence such a thing, which is the effect of an eternal cause, and must therefore itself be eternal. This is a proof the correctness of which is not doubted, disputed, or rejected, except by those who have no knowledge of the method of proof. We further say that the existence of anything that has independent existence is not due to any cause (Prop. X.), and that such a being does not include any plurality whatever (Prop. XXI.); consequently it cannot be a body, nor a force residing in a body (Prop. XXII.). It is now clear that there must be a being with absolutely independent existence, a being whose existence cannot be attributed to any external cause, and which does not include different elements; it cannot therefore be corporeal, or a force residing in a corporeal object; this being is God.

It can easily be proved that absolutely independent existence cannot be attributed to two beings. For, if that were the case, absolutely independent existence would be a property added to the substance of both; neither of them would be absolutely independent on account of their essence, but only through a certain property, viz., that of this independent existence, which is common to both. It can besides be shown in many ways that independent existence cannot be reconciled with the principle of dualism by any means. It would make no difference, whether we imagine two beings of similar or of different properties. The reason for all this is to be sought in the absolute simplicity and in the utmost perfection of the essence of this being, which is the only member of its species, and does not depend on any cause whatever; this being has therefore nothing in common with other beings.