## The Search for Mathematical Roots, 1870-1940: Logics, Set Theories and the Foundations of Mathematics from Cantor Through Russell to GodelWhile many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their |

### Contents

iii | |

Preludes Algebraic Logic and Mathematical Analysis up to 1870 | xiv |

Cantor Mathematics as Mengenlehre | 61 |

Parallel Processes in set Theory Logics and Axiomatics 1870s1900s | 112 |

Peano the Formulary of Mathematics | 205 |

Russells Way In From Certainty to Paradoxes 18951903 | 254 |

Russell and Whitehead Seek the Principia Mathematica 19031913 | 319 |

The Influence and Place of Logicism 19101930 | 397 |

Postludes Mathematical Logic and Logicism in the 1930s | 492 |

The Fate of the Search | 542 |

Transcription of Manuscripts | 560 |

BIBLIOGRAPHY | 580 |

INDEX | 657 |