Fifty years ago when Jacques Hadamard set out to explore how
mathematicians invent new ideas, he considered the creative
experiences of some of the greatest thinkers of his generation,
such as George Polya, Claude Levi-Strauss, and Albert Einstein. It
appeared that inspiration could strike anytime, particularly after
an individual had worked hard on a problem for days and then turned
attention to another activity. In exploring this phenomenon,
Hadamard produced one of the most famous and cogent cases for the
existence of unconscious mental processes in mathematical invention
and other forms of creativity. Written before the explosion of
research in computers and cognitive science, his book, originally
titled "The Psychology of Invention in the Mathematical Field,"
remains an important tool for exploring the increasingly complex
problem of mental life.
The roots of creativity for Hadamard lie not in consciousness,
but in the long unconscious work of incubation, and in the
unconscious aesthetic selection of ideas that thereby pass into
consciousness. His discussion of this process comprises a wide
range of topics, including the use of mental images or symbols,
visualized or auditory words, "meaningless" words, logic, and
intuition. Among the important documents collected is a letter from
Albert Einstein analyzing his own mechanism of thought."
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