The Absolute Relations of Time And Space

Cover The Absolute Relations of Time And Space
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In our illustration by means of cones an element distinct from A, and neither before nor after it, is represented by a point outside both the a and /3 cones of A.
R. 2 18 TIME AND SPACE If B be such a point then as we have also seen, the a cones of A and B intersect as do the f$ cones of A and B.
Now we wish to express in terms of before and after a character- istic property of a point of intersection.
If we take X as a point on the locus of intersection of the a cones of A and B and we take th
...e plane through A, B and X, we observe in the first place that X is after both A and B.
Further X is before all other points in the plane which are after both A and B.
Fig. 3 This is not, however, the case if we go outside this plane, for if we take a second point X' on the locus of intersection, then X is not before X', although X' is after both A and B.
We can, however, easily see that though we are not at liberty to say that X is before, we can assert that X is not after any other point which is after both A and B, and this gives us the property we have been searching for.


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