Now the question arises how a thing passes from one state = a, into another state = b.Between two moments there is always a certain time, and between two states existing in these moments there is always a difference having a certain quantity (for all parts of phenomena are in their turn quantities).Consequently, every transition from one state into another is always effected in a time contained between two moments, of which the first determines the state which leaves, and the second determines the state into the thing passes.the thing leaves, and the second determines the state into which the thing Both moments, then, are limitations of the time of a change, consequently of the intermediate state between both, and as such they belong to the total of the change.Now every change has a cause, which evidences its causality in the whole time during which the charge takes place.The cause, therefore, does not produce the change all at once or in one moment, but in a time, so that, as the time gradually increases from the commencing instant, a, to its completion at b, in like manner also, the quantity of the reality (b - a) is generated through the lesser degrees which are contained between the first and last.All change is therefore possible only through a continuous action of the causality, which, in so far as it is uniform, we call a momentum.The change does not consist of these momenta, but is generated or produced by them as their effect.
Such is the law of the continuity of all change, the ground of which is that neither time itself nor any phenomenon in time consists of parts which are the smallest possible, but that, notwithstanding, the state of a thing passes in the process of a change through all these parts, as elements, to its second state.There is no smallest degree of reality in a phenomenon, just as there is no smallest degree in the quantity of time; and so the new state of reality grows up out of the former state, through all the infinite degrees thereof, the differences of which one from another, taken all together, are less than the difference between o and a.
It is not our business to inquire here into the utility of this principle in the investigation of nature.But how such a proposition, which appears so greatly to extend our knowledge of nature, is possible completely a priori, is indeed a question which deserves investigation, although the first view seems to demonstrate the truth and reality of the principle, and the question, how it is possible, may be considered superfluous.For there are so many groundless pretensions to the enlargement of our knowledge by pure reason that we must take it as a general rule to be mistrustful of all such, and without a thoroughgoing and radical deduction, to believe nothing of the sort even on the clearest dogmatical evidence.
Every addition to our empirical knowledge, and every advance made in the exercise of our perception, is nothing more than an extension of the determination of the internal sense, that is to say, a progression in time, be objects themselves what they may, phenomena, or pure intuitions.This progression in time determines everything, and is itself determined by nothing else.That is to say, the parts of the progression exist only in time, and by means of the synthesis thereof, and are not given antecedently to it.For this reason, every transition in perception to anything which follows upon another in time, is a determination of time by means of the production of this perception.And as this determination of time is, always and in all its parts, a quantity, the perception produced is to be considered as a quantity which proceeds through all its degrees- no one of which is the smallest possible- from zero up to its determined degree.
From this we perceive the possibility of cognizing a priori a law of changes- a law, however, which concerns their form merely.We merely anticipate our own apprehension, the formal condition of which, inasmuch as it is itself to be found in the mind antecedently to all given phenomena, must certainly be capable of being cognized a priori.
Thus, as time contains the sensuous condition a priori of the possibility of a continuous progression of that which exists to that which follows it, the understanding, by virtue of the unity of apperception, contains the condition a priori of the possibility of a continuous determination of the position in time of all phenomena, and this by means of the series of causes and effects, the former of which necessitate the sequence of the latter, and thereby render universally and for all time, and by consequence, objectively, valid the empirical cognition of the relations of time.
C.THIRD ANALOGY.
Principle of Coexistence, According to the Law of Reciprocity or Community.
All substances, in so far as they can be perceived in space at the same time, exist in a state of complete reciprocity of action.
PROOF.
Things are coexistent, when in empirical intuition the perception of the one can follow upon the perception of the other, and vice versa-which cannot occur in the succession of phenomena, as we have shown in the explanation of the second principle.Thus I can perceive the moon and then the earth, or conversely, first the earth and then the moon; and for the reason that my perceptions of these objects can reciprocally follow each other, I say, they exist contemporaneously.