## An Investigation of the Laws of Thought: On which are Founded the Mathematical Theories of Logic and ProbabilitiesClassic in symbolic logic, showing that classical logic can be treated algebraically. Timeless introduction. |

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### Contents

NATURE AND DESIGN OF THIS WORK | 1 |

SIGNS AND THEIR LAWS | 24 |

DERIVATION OF THE LAWS | 39 |

DIVISION OF PROPOSITIONS | 52 |

PRINCIPLES OF SYMBOLICAL REASONING | 66 |

OF INTERPRETATION | 80 |

OF ELIMINATION | 99 |

OF REDUCTION | 114 |

CLARKE AND SPINOZA | 185 |

EXAMPLE OF ANALYSIS | 219 |

OF THE ARISTOTELIAN LOGIC | 226 |

OF THE THEORY OF PROBABILITIES | 243 |

GENERAL METHOD IN PROBABILITIES | 253 |

ELEMENTARY ILLUSTRATIONS | 276 |

OF STATISTICAL CONDITIONS | 295 |

PROBLEMS OF CAUSES | 320 |

METHODS OF ABBREVIATION | 130 |

CONDITIONS OF A PERFECT METHOD | 150 |

OF SECONDARY PROPOSITIONS | 159 |

METHODS IN SECONDARY PROPOSITIONS | 177 |

PROBABILITY OF JUDGMENTS | 376 |

CONSTITUTION OF THE INTELLECT | 399 |

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### Common terms and phrases

algebraic analysis application Aristotle assume babilities cause chapter coeﬂicients combination compound event conception conclusion condition connexion consists constituents deduce deﬁned deﬁnition deliberative assembly denoted determine disjunctive proposition elements elimination equa equal equivalent events whose probabilities exist expression factor ﬁnd ﬁnite ﬁrst member ﬁxed function fundamental Hence hypothesis implied indeﬁnite independent inference inﬁnite interpretation involved laws of thought logical equation logical symbols logical value mathematical method middle terms minor limit mode natural evils nature necessary object observed occur particular premises present preventive of pain primary propositions principle Prob problem processes productive of pleasure Prop question reasoning reduced reference relation represent respect result satisﬁed scientiﬁc second member secondary propositions simple events sition solution supposed syllogism system of equations theory of probabilities things tion treatise truth universe universe of discourse vanish veriﬁcation whence