Einstein
was slow in learning how to speak. His parents even consulted a
doctor. He also had a cheeky rebelliousness toward authority, which
led one headmaster to expel him and another to amuse history by
saying that he would never amount to much. But these traits helped
make him a genius. His cocky contempt for authority led him to
question conventional wisdom. His slow verbal development made him
curious about ordinary things – such as space and time – that
most adults take for granted. His father gave him a compass at age
five, and he puzzled over the nature of a magnetic field for the rest
of his life. And he tended to think in pictures rather than words.
Was
Einstein learning disabled?
Some
researchers claim to detect in Einstein’s childhood a mild
manifestation of autism or Asperger’s syndrome. Simon Baron-Cohen,
the director of the autism research center at Cambridge University,
is among those. He writes that autism is associated with a
“particularly intense drive to systemize and an unusually low drive
to empathize.” He also notes that this pattern “explains the
‘islets of ability’ that people with autism display in subjects
like math or music or drawing -- all skills that benefit from
systemizing.”* I do not find such a long-distance diagnosis to be
convincing. Even as a teenager, Einstein made close friends, had
passionate relationships, enjoyed collegial discussions, communicated
well verbally and could empathize with friends and humanity in
general.
Did
Einstein flunk math?
One
widely held belief about Einstein is that he failed math as a
student, an assertion that is made, often accompanied by the phrase
“as everyone knows,” by scores of books and thousands of websites
designed to reassure underachieving students. A Google search
of Einstein
failed math turns
up more than 500,000 references. The allegation even made it into the
famous “Ripley’s Believe it or Not!” newspaper column.
Alas, Einstein’s childhood offers history many savory ironies, but this is not one of them. In 1935, a rabbi in Princeton showed him a clipping of the Ripley’s column with the headline “Greatest living mathematician failed in mathematics.” Einstein laughed. “I never failed in mathematics,” he replied, correctly. “Before I was fifteen I had mastered differential and integral calculus.” In primary school, he was at the top of his class and “far above the school requirements” in math. By age 12, his sister recalled, “he already had a predilection for solving complicated problems in applied arithmetic,” and he decided to see if he could jump ahead by learning geometry and algebra on his own. His parents bought him the textbooks in advance so that he could master them over summer vacation. Not only did he learn the proofs in the books, he also tackled the new theories by trying to prove them on his own. He even came up on his own with a way to prove the Pythagorean theory.
Alas, Einstein’s childhood offers history many savory ironies, but this is not one of them. In 1935, a rabbi in Princeton showed him a clipping of the Ripley’s column with the headline “Greatest living mathematician failed in mathematics.” Einstein laughed. “I never failed in mathematics,” he replied, correctly. “Before I was fifteen I had mastered differential and integral calculus.” In primary school, he was at the top of his class and “far above the school requirements” in math. By age 12, his sister recalled, “he already had a predilection for solving complicated problems in applied arithmetic,” and he decided to see if he could jump ahead by learning geometry and algebra on his own. His parents bought him the textbooks in advance so that he could master them over summer vacation. Not only did he learn the proofs in the books, he also tackled the new theories by trying to prove them on his own. He even came up on his own with a way to prove the Pythagorean theory.
Did
Einstein think in pictures rather than words?
Yes,
his great breakthroughs came from visual experiments performed in his
head rather than the lab. They were calledGedankenexperiment --
thought experiments. At age 16, he tried to picture in his mind what
it would be like to ride alongside a light beam. If you reached the
speed of light, wouldn’t the light waves seem stationery to you?
But Maxwell’s famous equations describing electromagnetic waves
didn’t allow that. He knew that math was the language nature uses
to describe her wonders, so he could visualize how equations were
reflected in realities. So for the next ten years he wrestled with
this thought experiment until he came up with the special theory of
relativity.
What
thought picture did Einstein use for special relativity?
Among
other things, he pictured lightning striking at both ends of a moving
train. A person on the embankment might see the strikes as
simultaneous, but to someone on the speeding train they would appear
to have happened at different moments. Because the train is speeding
forward, the light from the strike at the front of the train would
reach him a moment before the light from the strike at the back of
the train. From that he realized that simultaneity is relative to
your state of motion, and from that he came up with the idea that
there is no such thing asabsolute time.
Time is relative. Hence the special theory of relativity.
No comments:
Post a Comment