It is possible, if we choose, to attribute to the percept the same
structure as that possessed by the physical occurrence, or rather the
same structure as that possessed by the immediate external stimulus. It
cannot be proved that this hypothesis is untrue, but it is less useful
than it might be supposed to be, because only what is known
about percepts is epistemologically important, and such structure,
if it exists, is certainly unperceived. What we only discover about
percepts by means of inference does not belong to the part which
affords premisses for science, but is, from the standpoint of theory
of knowledge, in the same position as events in the external world.
Therefore, although percepts may have an unperceived structure, this
does not diminish the significance of the fact that the structure we
perceive in percepts has only a one-many relation to that of
their stimuli.
The question must be faced: Is physical space-time perhaps much more
unlike the space and time of perception than we have supposed? Have
we been victims of imaginative laziness in our merely piecemeal
modifications of common-sense prejudices? Dr Whitehead, most
emphatically, is not open to such a charge; his "fallacy of simple
location," when avoided, leads to a world-structure quite different
from that of common sense and early science. But his structure depends
upon a logic which I am unable to accept, namely the logic which
supposes that "aspects" may be not quite alike, and[Pg 341] yet may be in some
sense numerically one. To my mind, such a view, if taken seriously, is
incompatible with science, and involves a mystic pantheism. But I shall
not pursue this topic here, having treated it on former occasions. The
question I wish to ask is: Without adopting heroic measures, what could
we suppose about physical space-time, if we were anxious to preserve
what is probably true in physics, but not anxious to keep as near as
possible to common sense? In particular, can space-time itself be
atomic, as the existence of the unit of action seems to suggest?
And first, how are we to conceive "action"?
Action is usually defined as the time-integral of energy; since
energy can be identified with mass, "action" may also be defined as
mass multiplied by time. Gravitational mass is a length; e.g.
the mass of the sun is 1·47 kilometres.[69] Since gravitational and
inertial mass are equal, we might regard action as length multiplied by
time. Dr Jeans (Atomicity and Quanta, p. 8) says:
"There can hardly be an atomicity of the continuum itself, for, if
there were, a universal constant of the physical dimensions of space
multiplied by time ought to pervade the whole of physical science.
Nothing of the kind is even suspected, nor, so far as I know, has ever
been so much as surmised. Thus science can to-day proclaim with high
confidence that both space and time are continuous."
Public-domain text, read in full here on John Shaqi.
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