## Mathematics and Plausible Reasoning: Induction and analogy in mathematicsA guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and guesses play an important part in even the most rigorously deductive science. He explains how solutions to problems can be guessed at; good guessing is often more important than rigorous deduction in finding correct solutions. Vol. I, on |

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### Contents

III | 3 |

V | 4 |

VI | 5 |

VII | 7 |

VIII | 8 |

IX | 12 |

X | 13 |

XII | 15 |

LIII | 99 |

LV | 100 |

LVI | 108 |

LVII | 110 |

LIX | 111 |

LX | 116 |

LXI | 121 |

LXII | 122 |

XIII | 17 |

XIV | 21 |

XV | 22 |

XVI | 30 |

XVII | 35 |

XVIII | 38 |

XX | 39 |

XXI | 40 |

XXII | 41 |

XXIII | 42 |

XXIV | 43 |

XXV | 44 |

XXVII | 45 |

XXVIII | 46 |

XXIX | 47 |

XXXI | 49 |

XXXIII | 50 |

XXXIV | 52 |

XXXV | 59 |

XXXVI | 62 |

XXXVII | 63 |

XXXVIII | 64 |

XXXIX | 65 |

XLI | 68 |

XLIII | 70 |

XLIV | 76 |

XLVI | 77 |

XLVII | 79 |

XLVIII | 80 |

XLIX | 81 |

L | 83 |

LI | 84 |

LII | 90 |