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
Evidently each duration belongs to one and only one family of parallel
durations; and thus each duration belongs to one and only one
time-system. Also each moment belongs to one and only one family of
parallel moments; and thus each moment belongs to one and only one
time-system. Thus two distinct time-systems have no durations in common
and no moments in common. But every event not a duration is contained in
some durations of any given time-system. Furthermore there will be a
minimum duration in a given time-system which is the duration 'when' the
event happened in that time-system; namely, the minimum duration has the
properties (i) that it extends over the event and (ii) that every
duration which is part of it intersects the event.
34.3 The moments of a time-system are arranged
in serial order in this way:
(i) A duration belonging to a time-system is 'bounded' by a moment of
the same time-system when each duration in which that moment inheres
intersects the given duration and also intersects events separated from
the given duration:
(ii) Every duration has two such bounding moments, and every pair of
parallel moments bound one duration of that time-system:
(iii) A moment of a time-system 'lies between' two moments
and of the same time-system when inheres in the duration
which and bound:
(iv) This relation of 'lying between' has the following properties which
generate continuous serial order in each time-system, namely,
() Of any three moments of the same time-system, one of them
lies between the other two:
() If the moment lies between the moments
and , and the moment lies between the moments
and , then lies between and :
() There are not four moments in the same time-system
such that one of them lies between each pair of the remaining three:
() The serial-order among moments of the same time-system
has the Cantor-Dedekind type of continuity.
Nothing has yet been said about the measurement of the lapse of time.
This topic will be considered as part of the general theory of
congruence.
Public-domain text, read in full here on John Shaqi.
Reviews
Reviews
No reviews yet
Be the first to share your thoughts on this work.
Elsewhere in the archive
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account