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)
were some oases in the desert of schematic teaching: they served as
refreshing halts for the spirit of the eager young searcher after
knowledge.
We must go back one or two years to note a weighty experience, which
occurred when he made his first acquaintance with elementary
mathematics; this subject presented itself to him with the intensity of
a revelation. It did not happen in the ordinary course of school-work,
but was due to a sort of wizard-like inquiring inner spirit that plied
him with questions and that gave him inward thrills of joy when he found
a sharp-witted solution. From the very beginning Albert proved himself
to be a good solver of problems, even before he achieved an arithmetical
virtuosity, and before he knew the technique of equations. He helped
himself by means of little tricks, experimented roundabout inventions,
and was happily excited when they led to the goal. One day he asked his
uncle, Jacob Einstein, an engineer who lived in Munich, a certain
question. He had heard the word "algebra" and surmised that his uncle
would be able to explain the term to him. Uncle Jacob answered: "Algebra
is the calculus of indolence. If you do not know a certain quantity, you
call it _x_ and treat it as if you do know it, then you put down the
relationship given, and determine this _x_ later." That was quite
sufficient. The boy received a book containing algebraic problems that
he solved all alone in accordance with this not exhaustive but expedient
direction. On another occasion Uncle Jacob told him the enunciation of
Pythagoras' theorem without giving him a proof. His nephew understood
the relationship involved, and felt that it had to be founded on some
reasoning. Again he set about all alone to furnish what was wanting.
This was, however, not a case for the "calculus of indolence" with an
_x_ that was to be determined. Here it was a question of developing a
facility for geometric argument, such as very few possess at such an
early stage of development. The boy plunged himself for three weeks into
the task of solving the theorem, using all his power of thought. He came
to consider similarity of triangles (by dropping a perpendicular from
one vertex of the right-angled triangle on to the hypotenuse), and was
thus led to a proof for which he had so ardently longed! And although it
concerned only a very old well-known theorem, he experienced the first
joy of the discoverer. The proof that he had found proved that the
ingenuity of the worrying young mind was awakening.
Public-domain text, read in full here on John Shaqi.
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