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
37.2 An abstractive class which is prime in respect to the
formative condition of 'covering all the elements and abstractive
classes constituting some assigned punct' is called an 'absolute prime.'
Evidently the condition satisfied by an absolute prime is regular for
primes. The abstractive element deduced from an absolute prime is called
an 'event-particle.' An event-particle is the route of approximation to
an atomic event, which is an ideal satisfied by no actual event.
An abstractive class which is antiprime in respect to the formative
condition of 'being a member of some assigned punct' is evidently an
absolute prime. In fact this set of antiprimes is identical with the set
of absolute primes.
An event-particle is an instantaneous point viewed in the guise of an
atomic event. The punct which an event-particle covers gives it an
absolute position in the instantaneous space of any moment in which it
lies. Event-particles on a rect lie in the order derived from the puncts
which they cover.
37.3 The complete set of event-particles
inhering in an event will be called the set 'analysing' that event. A
set of event-particles can only analyse one event, and an event can be
analysed by only one set of event-particles.
An event-particle 'bounds' an event when every event in which the
event-particle inheres intersects both and events separated from
. The set of event-particles bounding an event is called the
'boundary' of that event. A boundary can only bound one event and every
event has a boundary.
Event-particles which neither inhere in an event nor bound it are said
to lie 'outside' it.
The existence of boundaries enables the contact of events to be defined,
namely, events are in 'contact' when their boundaries have one or more
event-particles in common. The adjunction of events implies contact but
not vice versa; since adjunction requires that a solid of the boundaries
should be in common. But we define the notion of solid by means of that
of adjunction, and not conversely.
37.4 If and are distinct event-particles, there
are events separated from each other in which and respectively
inhere.
Two events intersect if there are event-particles each inhering in both
events; and conversely, there are event-particles inhering in both
events if they intersect.
37.5 The fact that the instantaneous geometry within a moment is
three-dimensional leads to the conclusion that the geometry for all
event-particles will be four-dimensional. It is to be noted however that
the straight lines for this four-dimensional geometry have so far only
been defined for event-particles which are co-momental, namely the
rects. Event-particles which are not co-momental will be called
'sequent.' Straight lines of the four-dimensional space joining sequent
event-particles will be defined in Chapter XI.
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