The logic of modern physicsBridgman, P. W. (Percy Williams)
Philosophy
The logic of modern physics
Bridgman, P. W. (Percy Williams)
Physics -- Philosophy
There are two questions to be disentangled here: we have to consider in
the first place the significance of the fact that Einstein has been able
to describe relations in nature in mathematical form, and in the second
place of the fact that he was able to arrive at the mathematical
formulation of these physical relations by reasoning of apparently a
purely mathematical character, from postulates of merely formal
mathematical content (invariance of natural laws in generalized
coordinates). Now the theory of relativity does not seem to differ in
the first respect from any other branch of mathematical physics, such as
the classical mathematical theory of electricity and magnetism, for
instance, and this matter has already been touched in an earlier
chapter. It is a fact that the behavior of nature can in many cases be
expressed to a high degree of precision in mathematical language, and
relativity is not unique in this respect. In any event, we must not
allow this possibility of mathematical formulation to obscure the
essential fact that all physical knowledge is by its nature only
approximate, so that we may expect at any time to find, when we have
carried our measurements to a higher degree of precision, that our
mathematical expression of the laws was not quite exact, as seems now to
be the case with Newton's law of gravitation, for example. I do not
suppose that Einstein would claim that the statements of relativity
differ in this respect from any of our other statements about nature,
although apparently some of his followers see something more here. (From
the operational viewpoint the meaning to be attached to "something more"
is somewhat obscure.)
Public-domain text, read in full here on John Shaqi.
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