## 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

admit adopted affirmative apply assertion assigned attributes Boole Boole's C. S. Peirce categorical categorical propositions chapter class terms combination common Logic commutative law compartments conclusion condition contradictory corresponding course denials denote diagram discussion disjunctive distinct elements elimination employed equation equivalent example existence expression extension F. A. Lange fact familiar formal formula four given hypothetical identical included indefinite indicate inference instance interpretation inverse involved Jevons kind Lambert language latter Laws of Thought Leibnitz limits logicians mathematical means merely multiply mutually exclusive negation negative not-a notation ordinary Logic particular propositions possible premises question reader reference regards represent respect restriction result rule scheme seems signification simple stand statement subdivision subject and predicate Suppose syllogism Symbolic Logic things tion true universal propositions universe verbal whole words wxyz x is y xyzw yield