## The foundations of mathematics and other logical essays |

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### Contents

Mathematical Logic 1926 | 62 |

On a Problem of Formal Logic 1928 | 82 |

Universals 1925 | 112 |

6 other sections not shown

### Common terms and phrases

adjective alternative analysis arguments assert atomic fact atomic functions atomic propositions Axiom of Infinity Axiom of Reducibility C. D. Broad C. K. Ogden Caesar causal law chance classes consider consistency contain contradiction corresponding deduced define definition degree of belief difficulty distinction elementary function elementary propositions equivalent explain express agreement false feeling finite number follows formal logic formula functions of functions functions of individuals G. E. Moore give given I. A. Richards identity induction infinite instance involved Jean Piaget Keynes logical sum mathematics meaning merely names objects occur partial belief philosophy possible predicative functions primary system Principia Mathematica probability propositional function Psychology real numbers reason regard relation Russell Russell's secondary system seems sense sentence simply Socrates sort sub-class suppose tautology Theorem theory things tions true truth truth-function truth-possibilities universe values variable hypothetical Wittgenstein