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
Let us take a simple example. Two footrules are placed together and are
found to coincide. Then at the moment of coincidence they are equal in
length. But what is the use of that information? We want to use one rule
to-morrow in London and the other rule a week hence in Manchester, and
to know that the stuffs which they measure are of equal length. Now we
know that, provided they are made of certain sorts of material (luckily,
materials easy to procure) and treated with certain precautions
(luckily, precautions easy to observe), the footrules will not have
altered their lengths to any extent which can be detected. But that
means a direct judgment of constancy. Without such a judgment in some
form or other, measurement becomes trivial.
12.2 It may be objected that whenever the footrules are brought
together, or when stuffs measured by them are brought together, the
coincidences will be observed; and that this is all we need for the
importance of measurement.
But the coincidences will not be observed unless the circumstances of
the various experiments are sufficiently uniform. The stuffs must be
under the same tension or at the same temperatures as on previous
occasions. Sooner or later and somehow or other a judgment of constancy,
that is, of the preservation of property, is required. Ultimately this
judgment reposes upon direct common sense; namely, obviously the
footrule is of good stiff material and has not perceptibly changed amid
slight differences of circumstance. The coincidences which can easily be
obtained between lengths of elastic thread inspire no such beliefs,
because evidently the thread has been stretched.
12.3 Again, in Einstein's own example, there is the direct
judgment of the uniformity of conditions for the uniform transmission of
light. Thus any ordinary event among the fixed stars does not affect
this uniformity for the transmission from the sun to the earth. Apart
from such presuppositions, so obvious that they do not enter into
consciousness, the whole theory collapses.
12.4 These judgments of constancy are based on an immediate
comparison of circumstances at different times and at different places.
Such judgments are not infallible and are capable of being tested under
certain circumstances. For example it may be judged that two footrules
would coincide if they were brought together; and this experiment can be
made, and the judgment tested.
The rejection of an immediate judgment of constancy is no paradox. There
are differences between any distinct sets of circumstances, and it is
always possible that these differences cut deeper than we have perceived
so as to produce unsuspected divergences of properties.
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