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
1.5 The fundamental assumption to be elaborated in the course of
this enquiry is that the ultimate facts of nature, in terms of which all
physical and biological explanation must be expressed, are events
connected by their spatio-temporal relations, and that these relations
are in the main reducible to the property of events that they can
contain (or extend over) other events which are parts of them. In other
words, in the place of emphasising space and time in their capacity of
disconnecting, we shall build up an account of their complex essences as
derivative from the ultimate ways in which those things, ultimate in
science, are interconnected. In this way the data of science, those
concepts in terms of which all scientific explanation must be expressed,
will be more clearly apprehended. But before proceeding to our
constructive task, some further realisation of the perplexities
introduced by the traditional concepts is necessary.
2. Philosophic Relativity. 2.1
The philosophical principle of the relativity of space means that the
properties of space are merely a way of expressing relations between
things ordinarily said to be 'in space.' Namely, when two things are
said to be 'both in space' what is meant is that they are mutually
related in a certain definite way which is termed 'spatial.' It is an
immediate consequence of this theory that all spatial entities such as
points, straight lines and planes are merely complexes of relations
between things or of possible relations between things.
For consider the meaning of saying that a particle is at a point
. This statement conveys substantial information and must therefore
convey something more than the barren assertion of self-identity '
is .' Thus what must be meant is that has certain relations
to other particles ′, ″, etc., and that the
abstract possibility of this group of relations is what is meant by the
point .
The extremely valuable work on the foundations of geometry produced
during the nineteenth century has proceeded from the assumption of
points as ultimate given entities. This assumption, for the logical
purpose of mathematicians, is entirely justified. Namely the
mathematicians ask, What is the logical description of relations between
points from which all geometrical theorems respecting such relations can
be deduced? The answer to this question is now practically complete; and
if the old theory of absolute space be true, there is nothing more to be
said. For points are ultimate simple existents, with mutual relations
disclosed by our perceptions of nature.
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