## The principles of mathematics, Volume 1 |

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#### LibraryThing Review

User Review - Landric - LibraryThingThis is a valuable work for one interested in the foundations of mathematics but lacking a facility with the notation of symbolic logic. It is in effect a textual exposition of the ideas given a thorough and rigorous treatment in the Principia Mathematica, written jointly with Whithead [qv] Read full review

### Contents

CHAPTER I | 3 |

CHAPTER II | 10 |

Two indefinables and ten primitive propositions in this calculus | 16 |

Copyright | |

213 other sections not shown

### Common terms and phrases

adjectives analysis argument Arithmetic assertion asymmetrical relation axiom axiom of Archimedes belongs calculus called Cantor cardinal number Chapter class of classes class of terms class-concept collection compact series concept concerning considered contained contradiction correlation deduction defined definition denoted discussion distance distinction distinguished entities equal equivalent existence fact false finite integers finite number follows formal implication Frege Geometry given greater Hence holds identical implies q indefinable infinite classes infinitesimal infinity involved kind Leibniz less limit logical constants logical product logical sum magnitude material implication mathematical induction means notion null-class number of terms object occur one-one relation ordinal Peano philosophical points possible predicate premisses present presupposed primitive propositions principle progression projective Geometry properties propositional function prove quantity question rational numbers real numbers regard seems segments sense similar Socrates space stretches supposed Symbolic Logic theory transfinite transitive transitive relation true values variable verb zero