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
11.5 The reason why the velocity of light has been adopted as the
standard velocity in the definition of simultaneity is because the
negative results of the experiments to determine the earth's motion
require that this velocity, which is the '' of Maxwell's equations,
should have this property. Also light signals are after all our only way
of detecting distant events.
Certainly, once granting the idea of time-order being a local affair
connected with a specific body , the acceptance of the
electromagnetic formula connecting and is a
slight affair. There is no presumption against it, once granting the
conception of diverse time-orders which had not hitherto been thought
of.
11.6 But there are certain objections to the acceptance of
Einstein's definition of simultaneity, the 'signal-theory' as we will
call it. In the first place light signals are very important elements in
our lives, but still we cannot but feel that the signal-theory somewhat
exaggerates their position. The very meaning of simultaneity is made to
depend on them. There are blind people and dark cloudy nights, and
neither blind people nor people in the dark are deficient in a sense of
simultaneity. They know quite well what it means to bark both their
shins at the same instant. In fact the determination of simultaneity in
this way is never made, and if it could be made would not be accurate;
for we live in air and not in vacuo.
Also there are other physical messages from place to place; there is the
transmission of material bodies, the transmission of sound, the
transmission of waves and ripples on the surface of water, the
transmission of nerve excitation through the body, and innumerable other
forms which enter into habitual experience. The transmission of light is
only one form among many.
Furthermore local time does not concern one material particle only. The
same definition of simultaneity holds throughout the whole space of a
consentient set in the Newtonian group. The message theory does not
account for the consentience in time-reckoning which characterises a
consentient set, nor does it account for the fundamental position of the
Newtonian group.
12. Congruence and Recognition.
12.1 Again the theory that measurement is essentially coincidence
requires severe qualification. For if it were true only coincident
things, coincident both in time and space, could be equal, yet
measurement can only be of the slightest importance in so far as some
other element not coincidence enters into it.
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