The mathematician's mind : the psychology of invention in the mathematical field
著者
書誌事項
The mathematician's mind : the psychology of invention in the mathematical field
（Princeton science library）
Princeton University Press, 1996
- pbk. : alk. paper
- タイトル別名
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Psychology of invention in the mathematical field
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注記
Originally published: The psychology of invention in the mathematical field, Princeton : Princeton University Press, c1945
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Preface to the Paperback EditionForewordIntroductionIGeneral Views and Inquiries1IIDiscussions on Unconsciousness21IIIThe Unconscious and Discovery29IVThe Preparation Stage. Logic and Chance43VThe Later Conscious Work56VIDiscovery as a Synthesis. The Help of Signs64VIIDifferent Kinds of Mathematical Minds100VIIIParadoxical Cases of Intuition116IXThe General Direction of Research124Final Remarks133App. I137App. II142
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