[The Concept of Nature by Alfred North Whitehead]@TWC D-Link bookThe Concept of Nature CHAPTER IX 13/30
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.
Two durations are parallel if either (i) one includes the other, or (ii) they overlap so as to include a third duration common to both, or (iii) are entirely separate.
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.
The recognition of the fact of an indefinite number of families of parallel durations is what differentiates the concept of nature here put forward from the older orthodox concept of the essentially unique time-systems. Its divergence from Einstein's concept of nature will be briefly indicated later. The instantaneous spaces of a given time-system are the ideal (non-existent) durations of zero temporal thickness indicated by routes of approximation along series formed by durations of the associated family.
Each such instantaneous space represents the ideal of nature at an instant and is also a moment of time.
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