...over each other till two became as it were locked together so as to form a stable combination. In the morning I had established the existence of a class of Fuchsian functions ... it only remained to tabulate the results." Some physiologists and psychologists have objected that...

...my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black...existence of a class of Fuchsian functions, those 'rrliieh come from the hypergeometric series; I had only to write out the results, which took but a...

...over each other till two became as it were locked together so as to form a stable combination. In the morning I had established the existence of a class of Fuchsian functions ... it only remained to tabulate the results." Some physiologists and psychologists have objected that...

...against one another until two of them stuck together, so to speak, to form a stable combination. By morning I had established the existence of a class of fuchsian functions, those which are derived from the hypergeometric series. I had merely to put the results in shape, which only took...

...one another until two of them stuck together, so to speak, to form a stable combination. By morning'I had established the existence of a class of fuchsian functions, those which are derived from the hypergeometric series. I had merely to put the results in shape, which only took...

...my work table, stayed an hour or two, tried a great number of combinations and reached no results. One evening, contrary to my custom, I drank black...of a class of Fuchsian functions, those which come fom the hypergeometric series; I had only to write out the results, which took but a few hours. Then...

...automatism, but no one has described the process better than Henri Poincare: "Ideas rose in clouds; I felt them collide until pairs interlocked, so to...established the existence of a class of Fuchsian functions ... I had only to write out the results, which took but a few hours." Frequently the automatic outpouring,...

...offers an "introspective" account of some mathematical inventing of his own that is more problematic: "One evening, contrary to my custom, I drank black...until pairs interlocked, so to speak, making a stable combination."12 In this instance the chooser seems to have disappeared, but Poincaré has another,...

...Fuchsian functions. I ... tried a great number of combinations and reached no results. One evening ... I drank black coffee and could not sleep. Ideas rose...established the existence of a class of Fuchsian functions . . . 30 This particular discovery involved (1) a background or base of previous items (ideas), (2)...

...mathematical beauty which provides the selective criteria for a blind permuting process usually unconscious: One evening, contrary to my custom, I drank black...interlocked, so to speak, making a stable combination. (Poincaré 1913, 387) . . . What happens then? Among the great numbers of combinations blindly formed...