[The Concept of Nature by Alfred North Whitehead]@TWC D-Link bookThe Concept of Nature CHAPTER IV 37/46
There are classes of these abstractive elements which are of great importance.
I will consider them later on in this and in other lectures.
Meanwhile we will ignore them.
Also I will always speak of 'event-particles' in preference to 'puncts,' the latter being an artificial word for which I have no great affection. Parallelism among rects and levels is now explicable. Consider the instantaneous space belonging to a moment A, and let A belong to the temporal series of moments which I will call {alpha}. Consider any other temporal series of moments which I will call {beta}. The moments of {beta} do not intersect each other and they intersect the moment A in a family of levels.
None of these levels can intersect, and they form a family of parallel instantaneous planes in the instantaneous space of moment A.Thus the parallelism of moments in a temporal series begets the parallelism of levels in an instantaneous space, and thence--as it is easy to see--the parallelism of rects.
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