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)
Let us stipulate still greater accuracy. We demand that the error is to
be less than the thickness of the thinnest human hair. We find, then,
that we must take for π at most 15 places of decimals. Thus, if we use
π = 3.14159265358973, we are applying a means of calculation that
reduces the possible error in all measurements of circles on the earth
to a degree beyond the limits of human perception.
If we pass beyond the world out into celestial space, and consider
circles of the dimensions of a planetary orbit, nay, further, if we pass
on to the Milky Way or even to the limit of visible stars, to find space
for our circle, and if in this case we still reduce the discrepancy so
as to be less than any length that is observable under a microscope,
then the last given value of π still suffices. Yet we must not forget
the proviso: _semper aliquid haeret_, something unsolved still clings to
the problem.
Such numerical approximations, however instructive they may be,
nevertheless retain a comparatively playful character, and furnish only
a superficial analogy to the most important approximations that are
contained in our natural laws themselves. It is these, above all, that
manifest themselves so clearly in Einstein's life-work, and they bear
the same relation to the former as truth bears to correctness. Truth
comprises the greatest conceivable circle of ideas and passes far beyond
the sphere of correctness, which deals only with measure-relations, and
not with the things in themselves. If Einstein, as we learn,
emphatically declares truth to be the only object of science, he means
the strictly objective truth that is to be derived from Nature, the true
relationship of phenomena and occurrences, independently of whether
restless philosophy assigns a question mark to this ultimate
objectivity. A great discoverer in the realm of Nature cannot and dare
not proceed otherwise. For him there is behind the veil of Maya not a
phantom that finally vanishes, but something knowable, that becomes ever
clearer and more real as he detaches each successive veil in his process
of approximation.
During this conversation, when we were talking of the "Future of the
Sciences," Einstein gave his ideas free rein, shooting far ahead of the
views and prognostications of the above-mentioned scientists:
Public-domain text, read in full here on John Shaqi.
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