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process studies supplements...

December 1999

Locating Atomicity
Lewis S. Ford

Extensive continuity is a basic and pervasive feature of our world. It is presupposed by scientific measurement and theory. Few philosophers have appreciated its significance more than the inventor of the method of extensive abstraction. Its way of defining a point in terms of ever decreasing volumes presupposes infinite divisibility. Applied to spacetime, this means that every event is encompassed by larger events and encompasses smaller events, without end. The world of events (for the philosophy of nature) is thoroughly continuous. Nevertheless, "the ultimate metaphysical truth is atomism" (PR 35).

Without some discontinuity, there would be no room for concrescence, no room for becoming. There would be no way of distinguishing between the coming into being of an event and that event itself. Continuous creation supposes there can be creation at each instant only because the creator is outside time, but this cannot apply to any self-creating squeezed into a second. In order to overcome the pervasive continuity of time, some temporal atomicity is required to situate concrescent becoming.

Temporal atomism, however, cannot be adequately comprehended on analogy with the more familiar material atomism. Whitehead found it particularly difficult to determine precisely what was atomic, and how this fits with extensive continuity. Is the occasion as a whole or in some undifferentiated sense actually indivisible, or does it lie in the event brought into being, or in its act of (self-)creation? All of these are options Whitehead investigates, and all but the last prove ultimately to be unsatisfactory. Eventually, but only after about two and a half-years, he will hit upon the approach that will guide his systematic elaboration of the theory of concrescence (PR, part III).- This is found in the conclusion to his Zeno-like argument (inserted in part II) that "in every act of becoming there is the becoming of something which temporal extension; but that the act itself is not extensive, in the sense that it is divisible into earlier and later acts of being" (PR 69). The satisfaction is (coordinately) divisible, but not the concrescence.

Among the many shifts in Whitehead's philosophical thinking that can be chartered, the two which are particularly basic both turn on the issue of the exact nature of temporal atomism. The first has been frequently emphasized, the second scarcely noticed. The first marks the difference between the earlier philosophy of nature and the later metaphysical works. It is usually assumed that Science and the Modern World as a whole introduces the shift, but it really takes place within that work. The original Lowell Lectures of 1925 on which that book is based are much more continuous with the philosophy of nature. Only later additions introduce the epochal theory of time which is the basis for Whitehead's characteristic metaphysics.

The second shift, far less obvious but no less basic, here concerning the theory of concrescence, takes place within Process and Reality itself. The earlier theory conceives concrescence as initiating from a single atomic datum (so the original text of part II), the later with a multiplicity of past occasions physically prehended (part III). Since the later theory is Whitehead's mature, final position, we are apt to read past the clues for the earlier theory, supposing it to be only a vaguer version of the official doctrine. Then the shift (and its wide-ranging significance) is likely not to be noticed. This essay highlights this second shift by working out the earlier attempts of Whitehead to understand concrescence, and the way in which they depend upon different articulations of temporal atomism.

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