Newton, whose spatio-temporal premises Henri Poincaré vigorously
refused to admit, and classical science take up an attitude, on the
contrary, which Newton himself well described when he wrote: “I am
but a child playing on the shore, rejoicing that I find at times a
well-polished pebble or an unusually fine shell, while the great ocean
of truth lies unexplored before me.” Newton says that the ocean is
unexplored, but he says that it exists; and from the features of the
shells he found he deduced certain qualities of the ocean, especially
those properties which he calls absolute time and space.
Einsteinians and Newtonians are agreed in thinking that the external
world is not in our time entirely amenable to scientific research. But
their agnosticism differs in its limits. The Newtonians believe that,
however external to us the world may be, it is not to such an extent as
to make “real time and space inaccessible to us.” The Einsteinians hold
a different opinion. What separates them is only a question of degree
of scepticism. The whole controversy is reduced to a frontier quarrel
between two agnosticisms.
CHAPTER IX
EINSTEIN OR NEWTON?
_Recent discussion of Relativism at the Academy
of Sciences—Traces of the privileged space
of Newton—The principle of causality
the basis of science—Examination of M.
Painlevé’s objections—Newtonian arguments and
Relativist replies—M. Painlevé’s formulæ of
gravitation—Fecundity of Einstein’s theory—Two
conceptions of the world—Conclusion._
What are these “special signs” by which the Newtonian conception of
nature recognises that we are in touch with the privileged space
which Newton called absolute space, and which seemed to him the real,
intrinsic, exclusive frame of phenomena?
These signs or criteria are implicitly at the root of the development
of classic science, but they for a time remained in the shades of the
discussions provoked by Einstein’s theory. Leaving aside for a moment
other, and perhaps less noble, cares, M. Paul Painlevé, addressing
the Academy of Sciences at Paris, has with brilliant success drawn
attention to the arguments, ancient yet ever robust, which constitute
the strength of the Newtonian conception of the world.
Let us from this point speak of the absolute time and space of Newton
and of Galileo as privileged space and privileged time, in order not to
expose our flanks further to the metaphysical objections—not without
justification—which the qualification “absolute” provokes.
Why is classical science, the mechanics of Galileo and Newton, founded
upon privileged space and privileged time? Why do they refer all
phenomena to these unique standards, and consider them adequate to
reality? It is on account of the principle of causality.
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