David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Princeton University Press (1945)
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 Le;vi-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.
|Keywords||Mathematics Philosophy Mathematicians Psychology|
|Categories||categorize this paper)|
|Buy the book||$7.44 used (78% off) $15.98 new (52% off) $25.05 direct from Amazon (24% off) Amazon page|
|Call number||QA8.4.H3 1996|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Derek Sankey (2007). Minds, Brains, and Difference in Personal Understandings. Educational Philosophy and Theory 39 (5):543–558.
Wilma Bucci, Bernard Maskit & Sean Murphy (forthcoming). Connecting Emotions and Words: The Referential Process. Phenomenology and the Cognitive Sciences:1-25.
Similar books and articles
Evert Willem Beth (1966). Mathematical Epistemology and Psychology. New York, Gordon and Breach.
I. Grattan-Guinness (1982). Psychology in the Foundations of Logic and Mathematics: The Cases of Boole, Cantor and Brouwer. History and Philosophy of Logic 3 (1):33-53.
Andrew Arana (2007). Review of D. Corfield's Toward A Philosophy Of Real Mathematics. [REVIEW] Mathematical Intelligencer 29 (2).
Paul Jorion (1999). What Do Mathematicians Teach Us About the World? An Anthropological Perspective. Philosophical Explorations.
Keith Devlin (2008). A Mathematician Reflects on the Useful and Reliable Illusion of Reality in Mathematics. Erkenntnis 68 (3):359 - 379.
Mario Livio (2009). Is God a Mathematician? Simon & Schuster.
Mary Leng, Alexander Paseau & Michael D. Potter (eds.) (2007). Mathematical Knowledge. Oxford University Press.
Jacques Hadamard (1980). In Particular and in Retrospect: “The Psychology of Invention in the Mathematical Field” (a Sum-Up). Philosophia Mathematica (1):29-38.
Added to index2009-01-28
Total downloads31 ( #122,257 of 1,789,925 )
Recent downloads (6 months)8 ( #105,284 of 1,789,925 )
How can I increase my downloads?