work on the wrong problem, at the wrong time, in the wrong way, and have very little to
show for it.
You are aware that frequently more than one person starts working on the same problem
at about the same time. In biology, both Darwin and Wallace had the idea of evolution at
about the same time. In the area of special relativity, many people besides Einstein were
working on it, including Poincare. However, Einstein worked on the idea in the right way.
The first person to produce definitive results generally gets all the credit. Those who
come in second are soon forgotten. Thus working on the problem at the right time is
essential. Einstein tried to find a unified theory, spent most of his later life on it, and died
in a hospital still working on it with no significant results. Apparently, he attacked the
problem too early, or perhaps it was the wrong problem.
There are a pair of errors that are often made when working on what you think is the right
problem at the right time. One is to give up too soon, and the other is to persist and never
get any results. The second is quite common. Obviously, if you start on a wrong problem
and refuse to give up, you are automatically condemned to waste the rest of your life (see
Einstein above). Knowing when you persist is not easy -- if you are wrong then you are
stubborn; but if you turn out to be right, then you are strong willed.
I now turn to the major excuse given for not working on important problems. People are
always claiming that success is a matter of luck, but as Pasteur pointed out, "Luck favors
the prepared mind."
A great deal of direct experience, vicarious experience through questioning others, and
reading extensively, convinces me of the truth of his statement. Outstanding successes are
too often done by the same people for it be a matter of random chance.
For example, when I first met Feynmann at Los Alamos during the WWII, I believed that
he would get a Nobel Prize. His energy, his style, his abilities, all indicated that he was a
person who would do many things, and probably at least one would be important.
Einstein, around the age of 12 or 14, asked himself what a light wave would look like if
he want at the speed of light. He knew that Maxwell's theory did not support a local,
stationary maximum, but was what he ought to see if the current theory was correct. So it
is not surprising that he later developed the special theory of relativity - he had prepared
his mind for it long before.
Many times a discussion with a person who has just done something important will
produce a description of how they were led, almost step by step, to the result. It is usually
based on things they had done, or intensely thought about, years ago. You succeed
because you have prepared yourself with the necessary background long ago, without, of
course, knowing then that it would prove to be a necessary step to success.
Personal traits