## On BooleThis brief text assists students in understanding Boole's philosophy and thinking so they can more fully engage in useful, intelligent class dialogue and improve their understanding of course content. Part of the Wadsworth Notes Series, (which will eventually consist of approximately 100 titles, each focusing on a single "thinker" from ancient times to the present), ON BOOLE is written by a philosopher deeply versed in the philosophy of this key thinker. Like other books in the series, this concise book offers sufficient insight into the thinking of a notable philosopher, better enabling students to engage in reading and to discuss the material in class and on paper. |

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### Contents

Boolean Operators | 10 |

Syllogistic Logic and Boolean Algebra | 25 |

Probability Theory Philosophy of Mind | 52 |

Copyright | |

2 other sections not shown

### Common terms and phrases

abstract algebraic logic Analysis of Logic applications Aristotelian syllogistic logic arithmetical binary Boole seems Boole writes Boole's logic Boole's Philosophy Boole's psychologism Boolean algebra Boolean operators categorical propositions cetaceans class complementation classes of objects classical complement class concept conclusion conjunction consider deductively valid defined disjunction elective symbol electronic elimination equation event example exclusive exclusive disjunction expression fact false formal George Boole hypothetical Ibid invalid involving later laws of logic Laws of Thought logic and probability logical algebra logical laws logical multiplication logical principles logical product logical relations logical structures mammals Mathematical Analysis mind minor premise numerical occur philosophical philosophy of logic physical phenomena possible premises prepositional logic prepositional negation principles of logic probability theory property represented propositions and inferences reasoning secondary propositions sense syllogism symbolic logic theory of probabilities tion traditional Aristotelian treatise true truth and falsehood truth functional volts whales