Science and the modern worldWhitehead, Alfred North
Religion
Science and the modern world
Whitehead, Alfred North
Science
Accordingly, the prime fact is the prehensive unity of volume, and this
unity is mitigated or limited by the separated unities of the
innumerable contained parts. We have a prehensive unity, which is yet
held apart as an aggregate of contained parts. But the prehensive unity
of the volume is not the unity of a mere logical aggregate of parts. The
parts form an ordered aggregate, in the sense that each part is
something from the standpoint of every other part, and also from the
same standpoint every other part is something in relation to it. Thus if
A and B and C are volumes of space, B has an aspect from the standpoint
of A, and so has C, and so has the relationship of B and C. This aspect
of B from A is of the essence of A. The volumes of space have no
independent existence. They are only entities as within the totality;
you cannot extract them from their environment without destruction of
their very essence. Accordingly, I will say that the aspect of B from A
is the _mode_ in which B enters into the composition of A. This is the
modal character of space, that the prehensive unity of A is the
prehension into unity of the aspects of all other volumes from the
standpoint of A. The shape of a volume is the formula from which the
totality of its aspects can be derived. Thus the shape of a volume is
more abstract than its aspects. It is evident that I can use Leibniz’s
language, and say that every volume mirrors in itself every other volume
in space.
Exactly analogous considerations hold with respect to durations in time.
An instant of time, without duration, is an imaginative logical
construction. Also each duration of time mirrors in itself all temporal
durations.
But in two ways I have introduced a false simplicity. In the first
place, I should have conjoined space and time, and conducted my
explanation in respect to four-dimensional regions of space-time. I have
nothing to add in the way of explanation. In your minds, substitute such
four-dimensional regions for the spatial volumes of the previous
explanations.
Secondly, my explanation has involved itself in a vicious circle. For I
have made the prehensive unity of the region A to consist of the
prehensive unification of the modal presences in A of other regions.
This difficulty arises because space-time cannot in reality be
considered as a self-subsistent entity. It is an abstraction, and its
explanation requires reference to that from which it has been extracted.
Space-time is the specification of certain general characters of events
and of their mutual ordering. This recurrence to concrete fact brings me
back to the eighteenth century, and indeed to Francis Bacon in the
seventeenth century. We have to consider the development in those
epochs, of the criticism of the reigning scientific scheme.
Public-domain text, read in full here on John Shaqi.
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