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Updated: June 18, 2025
He gives many examples to prove that these mystic numbers determine the durations of empires and underlie historical chronology. From a believer in such a theory, which illustrates the limitations of men's outlook on the world in the Renaissance period, we could perhaps hardly expect a vision of Progress. He asserts, as we have seen, that history depends largely on the will of men.
Furthermore there is a separate timeless space corresponding to each separate temporal series, that is to each separate family of durations. We will come back to points in timeless spaces later. I merely mention them now that we may understand the stages of our investigation.
The absence of maximum and minimum durations does not exhaust the properties of nature which make up its continuity. The passage of nature involves the existence of a family of durations. When two durations belong to the same family either one contains the other, or they overlap each other in a subordinate duration without either containing the other; or they are completely separate.
On the other hand the immediate present is prolonged according as nature presents itself to us in an aspect of unbroken rest. Any change in nature provides ground for a differentiation among durations so as to shorten the present. But there is a great distinction between self-change in nature and change in external nature.
Thus, as Wundt observes, though in retrospect both a month and a year seem too short, the latter is relatively much more shortened than the former. The cause of this constant error in the mode of reproducing durations seems to be connected with the very nature of the reproductive act.
We may term these connexions of the component durations the 'extrinsic' properties of a moment; the 'intrinsic' properties of the moment are the properties of nature arrived at as a limit as we proceed along any one of its abstractive sets. These are the properties of nature 'at that moment, or 'at that instant.
Thus our own sense-awareness with its extended present has some of the character of the sense-awareness of the imaginary being whose mind was free from passage and who contemplated all nature as an immediate fact. Our own present has its antecedents and its consequents, and for the imaginary being all nature has its antecedent and its consequent durations.
A great part of antiquity contented their hopes of subsistency with a transmigration of their souls, a good way to continue their memories, while having the advantage of plural successions they could not but act something remarkable in such variety of beings, and, enjoying the fame of their passed selves, make accumulation of glory unto their last durations.
We cannot even know that the series of immediate durations posited by the sense-awareness of one individual mind all necessarily belong to the same family of durations. There is not the slightest reason to believe that this is so. Indeed if my theory of nature be correct, it will not be the case.
I will call such a set of durations an 'abstractive set' of durations. It is evident that an abstractive set as we pass along it converges to the ideal of all nature with no temporal extension, namely, to the ideal of all nature at an instant. But this ideal is in fact the ideal of a nonentity.
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