68. This demonstration, though differently developed, is found in the works of Baron Pascual Galuppi, Professor of Philosophy in the University of Naples;[79] and although it is impossible to deny that it is very profound, still it does not leave the understanding wholly satisfied. These are the words of the Italian philosopher:

"Is the proposition: there is no effect without a cause, an identical proposition? I have demonstrated its identity in this manner: whatever has a beginning of existence must have been preceded either by an empty time or by a being; because otherwise the thing of which we are speaking would be the first existence, and the first letter of the alphabet of beings, and it could not be said that it begins to be, for the notion of beginning of existence implies a priority in relation to the being which begins. These two notions, existence begun, and existence preceded by another, are then identical; but is it possible for an existence to be preceded by an empty time? I have proved that an empty duration is a chimera, a product of the imagination, without any reality. The development of this proof, which I shall not give in this place, may be found in my Essays on the Critique of Knowledge. I have there established that time is nothing else than the number of productions. Aristotle said that time was the number of motion. Therefore an existence begun is an existence preceded by another existence. This proposition is identical; but how can an existence be preceded by another? Is that which precedes, perchance, found in an instant of time prior to that in which that which is preceded is found? Then we fall again into the doctrine of a time distinct from existent things. Thus we must admit that the existence which precedes is such as to make the existence preceded existence begun. It is not begun because it is preceded; the priority of the existence which precedes, is a priority of nature, an objective priority, which makes the beginning of the existence which is preceded; it is therefore the efficient cause of this existence. Thus the great principle of causality stands invincibly demonstrated,—it is an identical proposition."

69. I say again that this demonstration does not leave one wholly satisfied; not because it is not conclusive in itself, but because it needs greater development. The nerve of the proof is in the impossibility of conceiving a beginning, without conceiving something pre-existent; or to conceive precedency, without the relation of that which begins to that which pre-exists. It is not easy to conceive how from this may be inferred the intrinsic dependence of the things; and founding the argument upon so difficult an idea as that of time, greatly increases the doubt.

70. Let us suppose the world to exist, and something to begin now. Precedence is then conceived without dependence. This, in fact, happens continually; since beings are continually beginning which are preceded by others on which they do not depend. It may be said that they do not depend on all those which precede them, but still they depend on one of them. This is precisely what is to be proved. In order to prove that the principle of causality is demonstrated by the mere idea of the order of duration, it is necessary to prove that the relation of precedence is a relation of dependence. That which begins supposes something: certainly; but it remains to be proved that it depends on this thing as on something producing it, and not only as on a condition which makes the conception of beginning possible for us. Until it is proved that the action of a being is indispensable for the transition from not-being to being, the principle of causality does not seem to be proved, but only that of precedency; and as the order of things in duration, as priority and posteriority, can represent no other dependence than that of pure succession, it would follow that if we should confine ourselves to precedency, we should not prove that every thing that begins must depend on another, but that every thing that begins must succeed another; this last is not the principle of causality, but of succession.

71. We will make these ideas clearer. The difficulty raised against the former demonstration will be better understood, if we observe that those who reject the principle of causality, do not conceive it impossible for any thing to begin at any moment without any cause. Let us represent the successive beings of the universe by the series ... A, B, C, D, E, ... and the times in which they exist, by the series ... a, b, c, d, e.... According to the demonstration which we are examining, no term could have begun, unless another had preceded it; wherefore, D begun means the same as D preceded. Therefore D has a necessary relation to C, because the instants d and c are nothing in themselves, as distinguished from D and C.

Any one who does not admit the principle of causality will say that D may begin without any dependence on C; and that in order that the conception of beginning may be possible, it is only necessary that there should always have been something existing, although the terms preceding and those preceded have no relation to each other. Thus as the order of beings is represented by the series ... A, B, C, D, E, ... another series ... M, N, P, Q, R, ... may be imagined, to both of which the series ... a, b, c, d, e, ... corresponds. Then D may begin without any necessary dependence on C, for it is sufficient that P pre-exists at the instant c, in order to make the conception of beginning possible for us; in which case, D will have no necessary relation, either to C or to P; since the precedence of either is sufficient. And as it is evident that what we have said of C and P may be said of any other terms of these or other series, it follows that the demonstration only leads us to the necessity of conceiving something pre-existent; and this only in order to make the conception of a beginning possible. If to this we add the peculiar difficulty proceeding from the nature of the ideas of time and of all duration, I think we must conclude that the demonstration is not so satisfactory as might be desired. Those who have not examined the idea of time very profoundly will scarcely understand the meaning of the proof; the others will see the contradiction involved in an absolute beginning demonstrated, and therefore the necessity of something having been always existing; but not the intrinsic dependence implied in the relation of an effect to a cause. These difficulties render a more rigorous and profound examination necessary.

72. The principle of precedency leads us to an important result. Our understanding conceives absolutely an external existence; since it is impossible for it to conceive an absolute beginning without a preceding being.

73. The conception of absolute nothing is impossible. I. Because this conception would be entirely void, or rather, the absence of all conception. We conceive negation relatively to an existence,[80] but not absolutely. II. Because a conception is not possible without consciousness, and consciousness implies the idea of a being, of something, and this is contradictory of absolute nothing.

74. Unable to conceive absolute nothing, we always conceive something existing; and since, as we have demonstrated, we cannot conceive an absolute beginning, it follows that we cannot think without our thought implying an eternal existence.

How luminous a truth! What reflections it inspires! Let us continue to meditate on it.