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
40. Volumes. 40.1 A 'volume
prime' is a prime with the formative condition of being a simple
abstractive class which covers all the event-particles inhering in an
assigned event and covered by an assigned moment. If there are no such
particles, there will be no corresponding volume prime. This formative
condition is evidently regular for primes.
A 'volume' is the abstractive element deduced from a volume prime. A
volume is thus the section of an event made by a moment.
40.2 Any volume is covered by the assigned moment of which
mention occurs in its definition. Thus every volume (as here defined) is
co-momental. Also a volume only covers those event-particles of which
mention occurs in its definition. This set of event-particles is
completely characteristic of the volume, and may be considered as the
volume conceived as a locus of event-particles.
In exactly the same way a solid, or a route, is completely defined by
the event-particles which it covers and vice versa. Thus solids and
routes can be conceived as loci of event-particles.
The concrete event itself is also defined by (or, analysed by) the
event-particles inhering in it, and such a set of event-particles
defines only one event. Thus an event can be looked on as a locus of
event-particles. An event ′ which is part of an event is
defined in this way by a set of event-particles which are some of the
set defining . This fact is the reason for the confusion of the
logical 'all' and 'some' with the physical 'whole' and 'part' which
apply solely to events. An event is also uniquely defined by the set of
event-particles which form its boundary.
CHAPTER XI
POINTS AND STRAIGHT LINES
41. Stations. 41.1 The fact that
an event is 'cogredient' with a duration is a fundamental fact not to be
explained purely in terms of extension. It has been pointed out in
Part II that the exact concept of cogredience is
'Here throughout the duration' or 'There throughout the duration.' Let
this fundamental relation of finite events to durations be denoted by
',' and let '' mean ' is a finite event which is
cogredient with the duration .'
41.2 A 'stationary prime' within a duration is a prime
whose formative condition () is that of being a simple
abstractive class, such that each of its members extends over events
which (i) are inhered in by some assigned event-particle inherent
in and (ii) have the relation to . This formative
condition is regular for primes. A 'station' within a duration is
the abstractive element deduced from a stationary prime within .
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