## Principia Mathematica, Volume 1Principia Mathematica was first published in 1910-13; this is the ninth impression of the second edition of 1925-7. The Principia has long been recognised as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a minimal number of axioms, Whitehead and Russell display the structure of both kinds of thought. No other book has had such an influence on the subsequent history of mathematical philosophy. |

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User Review - gilbs - LibraryThingThis is the one book on my list about which I must say: I have no idea whether I read this. Seems that I must have, but I'm not sure. Read full review

### Contents

PART V | 1 |

+257 The transfinite ancestral relation | 81 |

+258 | 96 |

E FINITE AND INFINITE SERIES AND ORDINALs | 108 |

SECTION | 115 |

A N | 169 |

F Compact SERIES RATIonAL SERIEs and Continuous SERIES | 179 |

B | 204 |

WECTORFAMILIES | 339 |

Elementary properties of vectorfanmilies | 350 |

Connected families | 360 |

On the representative of a relation in a family | 367 |

Open families | 376 |

Serial families | 383 |

Initial families | 390 |

MEASUREMENT | 407 |

+274 On series of finite subclasses of a series | 207 |

275 | 218 |

Summary of Part VI | 233 |

102 | 241 |

108 | 249 |

390 | 437 |

407 | 455 |

374 | 461 |

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### Common terms and phrases

2Pac a e C*P a e Cls a e NC a e NC ind a e NO fin axiom of infinity Bºp Bord c e FM CI*P CI*U Cls refl comp connex CºP correlator definition DºT FM ap conx FM conx FM cycl following propositions Hence hypothesis inductive cardinals Infin ax NC induct Nor'P Nr'P Nr'P+ Nr'Q Nr'Q+ Nrº numid ordinal number Pe Ser Peſ Peſh Pless Q Pºa Pºr Pºz present number Prog proof Prop proper section prove pſa Psmor Q Qeſh rational series ratios real numbers relation sect'P seqr'a Sern Similarly F smor subm submultiple tºa tºo tºw tºy Transp uſu v e NC vector well-ordered series X|Cnv Ye Rat