## Symbolic LogicVenn's style is to take his readers very much into his confidence: as he builds the theory, he carefully points out the alternative paths he might have taken, the alternative definitions he might have used, he shows what the implications of these alternatives are, and justifies his choice on the broadest possible grounds. What is distinctive about this work may be given in part in Venn's own words: ""The thorough examination of symbolic logic as a whole, that is, in its relation to ordinary logic and ordinary thought and language; the establishment of every general symbolic expression and rule on purely logical principles, instead of looking mainly to its formal justification; and the invention and employment of a scheme of diagrammatic notation which shall be in true harmony with our generalizations. |

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### Contents

INTRODUCTION | ix |

CHAPTER I | 1 |

CHAPTER II | 33 |

CHAPTER III | 73 |

CHAPTER IV | 97 |

CHAPTER V | 110 |

CHAPTER VI | 141 |

CHAPTER VII | 173 |

CHAPTER XII | 302 |

CHAPTER XIII | 331 |

CHAPTER XIV | 360 |

CHAPTER XV | 380 |

CHAPTER XVI | 395 |

CHAPTER XVII | 414 |

CHAPTER XVIII | 426 |

CHAPTER XIX | 453 |

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### Common terms and phrases

actual admit adopted affirmative already answer apply assertion assigned attributes called chapter class terms combination common compartments complete conclusion condition consequent considered consistency corresponding course described determine diagram direct discussion distinct elements elimination employed equally equation equivalent example exclusive existence expression extension fact familiar figures formal former four give given hypothetical identical import included indefinite indicate instance interpretation introduced involved kind language latter limits logical logicians mark mathematical means merely multiply mutual nature negative notation notice object obtain once operation ordinary particular positive possible predicate premises present problem proposed propositions question reader reason reference regards relation represent respect result rule scheme seems seen simple stand statement Suppose symbolic things tion true universal whole write yield