## An Essay on the Psychology of Invention in the Mathematical FieldThoughtful and articulate study of the origin of ideas. Role of the unconscious in invention; the medium of ideas — do they come to mind in words? in pictures? in mathematical terms? Much more. "It is essential for the mathematician, and the layman will find it good reading." — Library Journal. |

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### Contents

DISCUSSIONS ON UNCONSCIOUSNESS | 21 |

THE UNCONSCIOUS AND DISCOVERY | 29 |

LOGIC AND CHANCE | 43 |

DISCOVERT AS A SYNTHESIS | 64 |

PARADOXICAL CASES OF INTUITION | 119 |

APPENDIX I | 137 |

APPENDIX III | 144 |

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An Essay on the Psychology of Invention in the Mathematical Field Jacques Hadamard Limited preview - 2013 |

### Common terms and phrases

admit algebraic analogous answer appear arithmetical artistic asked Available in U.S. Bernhard Riemann Binet calculus Captions century chance Claparede classic completely concerns conclusion connection conscious considered contrary course Dave Phillips Descartes difficult direction discovery doubt E. A. Wallis Budge Elie Cartan especially essential existence fact Fermat fringe-consciousness full consciousness functions Galois Galton geometry Georg Cantor GUSTAV STICKLEY happens Hermite ideas illumination illustrations images important incubation infinitesimal calculus inspiration instance interest intervention introspection inversive geometry investigated JACQUES HADAMARD language later lecture Leibniz less logical mathematical mathematicians Max Miiller means mental pictures mentioned methods nature observations occur Paul Valery phenomena philosophical photographs Poincare Poincare's possible precise principle problem proof psychological question reason relay-result remarkable Riemann role scientist scious Section seems sense solution Souriau speak theorem theory things think in words thought tion uncon unconscious understand Weierstrass's William writes