## Fundamentals of Symbolic Logic |

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### Contents

THE NATURE OF LOGIC 1 The Definition of Logic | 1 |

Formal and Nonformal Deduction | 3 |

The Abstract Nature of Logic | 4 |

Copyright | |

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### Common terms and phrases

affirming the antecedent antecedent antilogism arguments asserts axioms Boolean expansion calculus compound proposition conclusion conjunctive function consequent constants constituent constructed contingent function contradictory decision problem deductive system definiens definition derived determine diagrams disjunctive function distributed distribution of terms dots example existential existential quantifier F F F F T F fact falsity formal concepts fx D gx fx.gx Hence identity implicative function implies inconsistent involving jointly true least logically independent logicians material equivalence material implication matrix method matter means Morgan rule negative notation obversion p v g p v q parentheses pD q possible postulates predicate premises primitive Proof propositional function propositional variables q is true quantifier reasoning relation sentences sition Socrates square of opposition statement substitution syllogism symbols tautologous functions testing theorem thing tion transformed triad truth truth-conditions truth-function expressions truth-tables truth-value undetermined undistributed universal valid syllogism values Venn diagrams