## A Treatise of Formal Logic: Its Evolution and Main Branches with Its Relations to Mathematics and Philosophy, Volume 3 |

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### Contents

SUMMARY OF THE VIEWS OF MODERN MATHEMATICIANS | ix |

CRITICAL EXAMINATION OF THE LOGISTIC THEORY | 57 |

THE RELATION BETWEEN LOGISTICS AND MATHEMATICS | 101 |

6 other sections not shown

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### Common terms and phrases

altogether analysis apparent variables argument arithmetic assertion assume axiom of infinity axiom of reducibility axiomatic Begriffe cardinal numbers Chap classes of classes classical logic concept consider consistency construction contain deductive defined definition elements endeavours existence expression fact finite number follows formal logic foundations fundamental further geometry given Grundlagen Hilbert implies individual inductive cardinal number inference infinite instance intuition investigations Kant language Leipzig limit logical constants logical forms logicians Logik logique logistic logisticians manifold Math mathematical logic mathematical proof mathematicians mathematics Mathematik means Mengenlehre method natural numbers objects ordinal type paradoxes Paris philosophy Poincare possible precisely predicate primitive ideas primitive propositions Principia principle proof properties propositional function proved psychological question regard Russell and Whitehead Satz symbols system of axioms theorems theory of manifolds theory of types thought tion transfinite truth functions truth values validity value relations words Zermelo's zwei