“An Exceptional Talent For Calculative Thinking”, 1962 ():
This study explores the highly exceptional ‘lightning calculation’ of a distinguished mathematician who has considerable understanding of his own calculative thinking.
Each calculation is a temporally co-ordinated, rapidly flexible onleading which is both unitary and complex.
Biographically, it derives from prolonged and intensive practice fostered by circumstances in his upbringing and made possible by a large cognitive capacity which also manifests itself in other forms of intellectual achievement.
During calculation, there are ‘leaps’ of varying compass; there is also notable absence of sensory-type awareness. Ongoing proceeds through apprehending multiple attributes of the presented problem, deciding on some convenient and often ingenious calculative plan, and rhythmically implementing this plan while carrying through opportunistic telescoping and verifying of the ongoing activity.