All this represents a failure of correspondence between physical
space-time and perpetual space and time. If we assume that the human
body moves in a geodesic, perceptual time may be identified with the
integral of ds taken along that geodesic, while perceptual space
consists of certain relations between simultaneous percepts (the word
"simultaneous" raises no difficulties, since all percepts are in our
heads), partly themselves perceptual, partly inferred, but all just
what they are, whatever physics may say. There are certain respects
in which we can modify perceptual space to suit physics, and certain
others in which we cannot. We can, for example, infer that percepts
consist of imperceptible parts, if physics gives us ground for thinking
so. But where we perceive some relation between percepts, we cannot
deny that there is such a relation, however little physics may allow
it to subsist between the objects said to be perceived. The rule is:
We can infer extra complexity of structure in percepts if physics
requires it, but, however much physics may require it, we cannot infer
a smaller complexity than is demanded by the study of percepts
on their own account. In the world of percepts, the distinction between
space and time does really exist, and space does really have certain
properties which relativity denies to physical space. Thus to this
extent the correspondence between perceptual and physical space breaks
down, and measurement, which has to do primarily with percepts, fails
to give us quite such good data as we hoped to obtain for inferences as
to the physical world.
Public-domain text, read in full here on John Shaqi.
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