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
2.3 It is an obvious suggestion that we should amend our statement of
ultimate fact, as modified by the acceptance of relativity. The spatial
relations must now stretch across time. Thus if , ′,
″, etc. be material particles, there are definite spatial
relations connecting , ′, ″, etc. at
time with , ′, ″, etc. at time
, as well as such relations between and ′ and
″, etc. at time and such relations between
and ′ and ″, etc. at time . This
should mean that at time has a definite position in the
spatial configuration constituted by the relations between , ′,
″, etc. at time . For example, the sun at a
certain instant on Jan. 1st, 1900 had a definite position in the
instantaneous space constituted by the mutual relations between the sun and
the other stars at a definite instant on Jan. 1st, 1800. Such a statement
is only understandable (assuming the traditional concept) by recurring to
absolute space and thus abandoning relativity; for otherwise it denies the
completeness of the instantaneous fact which is the essence of the concept.
Another way out of the difficulty is to deny that space is constituted by
the relations of , ′, ″, etc., at an instant,
and to assert that it results from their relations throughout a duration of
time, which as thus prolonged in time are observable.
As a matter of fact it is obvious that our knowledge of space does
result from such observations. But we are asking the theory to provide
us with actual relations to be observed. This last emendation is either
only a muddled way of admitting that 'nature at an instant' is not the
ultimate scientific fact, or else it is a yet more muddled plea that,
although there is no possibility of correlations between distinct
instantaneous spaces, yet within durations which are short enough such
non-existent correlations enter into experience.
2.4 The persistence of the material lacks any observational
guarantee when the relativity of space is admitted into the traditional
concept. For at one instant there is instantaneous material in its
instantaneous space as constituted by its instantaneous relations, and
at another instant there is instantaneous material in its instantaneous
space. How do we know that the two cargoes of material which load the
two instants are identical? The answer is that we do not perceive
isolated instantaneous facts, but a continuity of existence, and that it
is this observed continuity of existence which guarantees the
persistence of material. Exactly so; but this gives away the whole
traditional concept. For a 'continuity of existence' must mean an
unbroken duration of existence. Accordingly it is admitted that the
ultimate fact for observational knowledge is perception through a
duration; namely, that the content of a specious present, and not that
of a durationless instant, is an ultimate datum for science.
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