Einstein, the searcher : $b his work explained from dialogues with EinsteinMoszkowski, Alexander
Philosophy
Einstein, the searcher : $b his work explained from dialogues with Einstein
Moszkowski, Alexander
Einstein, Albert, 1879-1955; Relativity (Physics)
This led us to the old question of Pilate: What is Truth? In seeking an
answer to this question Einstein first called special attention to the
conception of "approximation," which plays a great part in the actual
search for truth, inasmuch as every physical truth, expressed in
measures and numbers, always leaves some remainder, that marks its
distance from the unattainable truth of reality. This conception, which
manifests itself so prominently in the relation of Einstein's own
researches to the older, so-called classical, mechanics, will be
developed here according to his line of thought as far as I can
recollect from a number of conversations.
Let us suppose that we overhear two people arguing about the shape of
the earth's surface. The one affirms that it is an unlimited plane,
whilst the other maintains that it is a sphere. We should not hesitate a
moment to say that the first is in error, and that the second gives the
true answer. As long as the question was to be decided in favour of a
"Plane or a Sphere," the sphere would represent the absolute truth. Yet
it would be only relative, for these two statements are contradictory
only between themselves, but will no longer be so if a third assertion
is made which opposes a new alternative to "sphere."
If this alternative objection is actually raised, the third person would
be quite justified in saying that the "sphere" explanation is wrong. For
the conception "sphere" requires that all diameters be equal, whereas we
know that they are not so, since the distance from pole to pole has been
proved to be smaller than that between opposite points on the equator.
The earth is an ellipsoid of rotation, and this truth is absolute in the
face of the errors which are expressed by the terms, plane and sphere.
It would again have to be added that this absoluteness would stand only
as long as this contradiction is regarded as being one between a
definite sphere and a definite ellipsoid. If, as in the case of the
earth, there are quite different diameters in the equatorial and the
diametral planes, then there is complete contradiction between the two
statements, and as the supporter of the ellipsoid is right, the one who
supported the sphere must now give in, although he previously triumphed
over his first opponent. His statement was true compared with the
latter, but showed itself to be an error when compared with the
statement of the third person.
This does not run counter to the laws of elementary logic. One of these,
somewhat inadequately called the Law of Contradiction, states that two
directly contrary statements--_e.g._ this figure is a circle, and this
figure is not a circle--cannot both be true simultaneously. The truth of
the one implies necessarily the falseness of the other. As this cannot
be disputed, it follows in our case that we cannot have been confronted
with contradictory judgments at all concerning the figure of the earth.
Public-domain text, read in full here on John Shaqi.
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