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
Thus, confining ourselves to the two places and ,
there are two distinct processes of correlating the time-order of events
throughout the universe, namely by a series of observations of
coincidences at based on time-order and by a series
of observations of coincidences at based on time-order
. These two processes are distinct and will only agree by some
accident of special circumstance.
11.2 What are the observations at which will assign to
an event at a position in the time-order ? Suppose
some message—a wave disturbance, for example—starts from
when event happens at , reaches
when event happens at and is immediately reflected
so as to return to when event ″ happens
at . Now according to the method of time-measurement for
, there is an event ′ which happens at mid-time
between and ″. Then, when certain
conditions have been fulfilled, the event at is
defined as simultaneous with the event ′ at according
to the method of correlation appropriate to place . In this way
a time-order of events at is derived solely from observation
of coincidence at and is based solely on the fundamental
time-order at . Thus the time-order at is
extended as a time-order for all events at all places.
11.3 There are questions which require elucidation before this
definition can be understood. What is a place? We have chosen a vague
term on purpose, so as to postpone its consideration until now. A place
can only be marked by phenomena capable of recognition, for example the
continued appearance of a material body. Thus we must construe
and to be the names of material bodies, or of persistent sets
of circumstances which will serve the same purpose. In general
and will be in relative motion with respect to each other.
What of the message which passes from to and back to
? Its transmission must be uniform. Suppose the message travels
with velocity , that is, with the velocity of light in
vacuo. Then, assuming the electromagnetic formulae for relativity,
this velocity relative to is independent (so far as its
magnitude is concerned) of the velocity which we ascribe to
through space.
11.4 Thus our recording body can be any body at rest in
some consentient set of the Newtonian group, and we reckon motion as
relative to the space of this set. We send our message with the velocity
of light in vacuo. Then, according to the local time-order
at , the event at is simultaneous
with the event ′ at . This definition of simultaneity
in the local time-order at is independent of any assumption of
absolute rest for provided that the electromagnetic formulae
for relativity are adopted. The local time-order at is also in
complete agreement with the local time-order at any body which
is rigidly connected with , i.e. which belongs to the same
consentient set.
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.
Join the Discussion
Join the discussion
Sign in to leave a comment or review.
Sign InorCreate an account