An essay on the psychology of invention in the mathematical field 
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Review: The Psychology of Invention in the Mathematical Field
User Review  GoodreadsIn it's early days, artificial intelligence naively sought to model human reasoning using combinatorial syllogism engines. This went nowhere: No one knew how to constrain the growth in discovery space ... Read full review
Review: The Psychology of Invention in the Mathematical Field
User Review  GoodreadsThe rapid development of neuroscience and psychology in the last several decades makes some of the ideas in this book a bit outdated, although I don't think it renders them completely useless. This ... Read full review
Contents
THE LATER CONSCIOUS WORK  56 
DISCOVERT AS A SYNTHESIS  64 
VH DIFFERENT KINDS OF MATHEMATICAL MINDS  100 
Copyright  
3 other sections not shown
Common terms and phrases
admit Alfred Binet algebraic already analogous answer appear argument arithmetical asked Bernhard Riemann Binet calculus Claparede combinations concerns conclusion connection conscious consider contrary course Descartes difficult direction discovery doubt especially essential example existence fact feel Fermat fringeconsciousness fuchsian groups full consciousness Galois Galton geometry Georg Cantor gism happens Helmholtz Hermite ideas illumination images important incubation infinitesimal calculus inquiries inspiration instance interest intervention introspection intuitive mind inversive geometry investigated kinds of invention later law of Kepler lecture Leibniz less logical mathematical mathematical science mathematicians Max Miiller means mental pictures mentioned method nature never noticed observations occur Paul Valery phenomena phenomenon philosophical Picard's theorem Poincare Poincare's possible precise problem proof Psychology question reason relayresult remarkable Riemann role Roman Jakobson scientist scious Section seems solution Souriau speak synthesis theorem theory things think in words thought tion uncon unconscious understand Weierstrass's writes