## An Introduction to Algebraic Logic |

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### Contents

Introduction | 1 |

The calculi of propositions and of predi | 15 |

Algebraic theory of quantification in | 21 |

Copyright | |

2 other sections not shown

### Common terms and phrases

2-valued achieved algebraic logic atom axiomatic method axiomatic system axioms belonging Birkhoff Boolean algebra Boolean ring class or coset communist complement complete Boolean algebra complete dual ideal component operational rules congruence relation conjunctive normal form Consequently contain deductive logic deductive reasoning deductive system defined Definition disjunction distinct propositions existential factor algebra A/T false propositions freedom of thought greatest element Greeks Hilbert and Ackermann homomorphic ideal or filter identically true propositions inductive infinite conjunction infinite meets infinite operations intuitionistic logic isomorphic least element logical equivalence class mathematical meets and joins modus ponens negation observation and experimentation obtained p v q pi A p2 principal dual ideal principle proof quantified expression Remark residue class restricted predicate calculus ring ideals Sikorski society Stone 11 structure symbolic logic tion true or false undecidable propositions valid Western scientific civilization