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Updated: June 18, 2025
The doctrine of this paragraph is nothing else than another way of expressing the unresolvable multiple relation of an object to events. A complete time-system is formed by any one family of parallel durations. The excluded case is that of two durations overlapping so as to include in common an aggregate of finite events but including in common no other complete duration.
There is some legislation against the blowing of steam whistles by locomotives, although I believe none against the morning whistle of factories, and some against the emission of black smoke in specified durations or quantities.
The series may start with any arbitrarily assumed duration of any temporal extension, but in descending the series the temporal extension progressively contracts and the successive durations are packed one within the other like the nest of boxes of a Chinese toy.
Not otherwise by secular periods, known to us geologically as facts, though obscure as durations, Tellus herself, the planet, as a whole, is for ever working by golden balances of change and compensation, of ruin and restoration.
The whole family of parallel moments is accounted for in this way by reference to any given duration of the associated family of durations. Namely, there are moments of the family which lie without the given duration, there are the two moments which are the boundary moments of the given duration, and the moments which lie within the given duration.
For, though the Julian period be supposed to begin several hundred years before there were really either days, nights, or years, marked out by any revolutions of the sun, yet we reckon as right, and thereby measure durations as well, as if really at that time the sun had existed, and kept the same ordinary motion it doth now.
An Enquiry concerning the Principles of Natural Knowledge, Cambridge University Press, 1919. It is more convenient for technical purposes to look on a moment as being the class of all abstractive sets of durations with the same convergence.
Also we call upon our sense-awareness of the passage of nature to inform us that there are two such boundary moments, namely the earlier one and the later one. We will call them the initial and the final boundaries. There are also moments of the same family such that the shorter durations in their composition are entirely separated from the given duration.
The group of point-tracks of the time-system α is the group of points of the timeless space of α. Each such point indicates a certain quality of absolute position in reference to the durations of the family associated with α, and thence in reference to the successive instantaneous spaces lying in the successive moments of α.
When you think of Richard III. and of James II. do the durations of their reigns seem about alike to you? It isn't so to me; I always notice that there's a foot's difference. When you think of Henry III. do you see a great long stretch of straight road? I do; and just at the end where it joins on to Edward I. I always see a small pear-bush with its green fruit hanging down.
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