An enquiry concerning the principles of natural knowledgeWhitehead, Alfred North
Philosophy
An enquiry concerning the principles of natural knowledge
Whitehead, Alfred North
Knowledge, Theory of; Science -- Philosophy; Space and time
18.2 Every element of space or of time (as conceived in science)
is an abstract entity formed out of this relation of extension (in
association at certain stages with the relation of cogredience) by means
of a determinate logical procedure (the method of extensive
abstraction). The importance of this procedure depends on certain
properties of extension which are laws of nature depending on empirical
verification. There is, so far as I know, no reason why they should be
so, except that they are. These laws will be stated in the succeeding
parts so far as is necessary to exemplify the definitions which are
there given and to show that these definitions really indicate the
familiar spatial and temporal entities which are utilised by science in
precise and determinate ways. Many of the laws can be logically proved
when the rest are assumed. But the proofs will not be given here, as our
aim is to investigate the structure of the ideas which we apply to
nature and the fundamental laws of nature which determine their
importance, and not to investigate the deductive science which issues
from them.
18.3 The various elements of time and space are formed by the
repeated applications of the method of extensive abstraction. It is a
method which in its sphere achieves the same object as does the
differential calculus in the region of numerical calculation, namely it
converts a process of approximation into an instrument of exact thought.
The method is merely the systematisation of the instinctive procedure of
habitual experience. The approximate procedure of ordinary life is to
seek simplicity of relations among events by the consideration of events
sufficiently restricted in extension both as to space and as to time;
the events are then 'small enough.' The procedure of the method of
extensive abstraction is to formulate the law by which the approximation
is achieved and can be indefinitely continued. The complete series is
then defined and we have a 'route of approximation.' These routes of
approximation according to the variation of the details of their
formation are the points of instantaneous space (here called
'event-particles'), linear segments (straight or curved) between
event-particles (here called 'routes'), the moments of time (each of
which is all instantaneous nature), and the volumes incident in moments.
Such elements are the exactly determined concepts on which the whole
fabric of science rests.
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