# Introduction to Mathematical Philosophy

## Bertrand Russell

### Read by Landon D. C. Elkind

Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the importance of a doctrine of types, the truth of Logicism, and the clarity brought to the philosophy of mathematics by the method of logical analysis. (summary by Landon D. C. Elkind) (8 hr 44 min)

## Chapters

Preface | 3:43 | Read by Landon D. C. Elkind |

The Series of Natural Numbers | 22:44 | Read by Landon D. C. Elkind |

Definition of Number | 21:54 | Read by Landon D. C. Elkind |

Finitude and Mathematical Induction | 20:56 | Read by Landon D. C. Elkind |

The Definition of Order | 32:34 | Read by Landon D. C. Elkind |

Kinds of Relations | 23:38 | Read by Landon D. C. Elkind |

Similarity of Relations | 24:57 | Read by Landon D. C. Elkind |

Rational, Real, and Complex Numbers | 40:30 | Read by Landon D. C. Elkind |

Infinite Cardinal Numbers | 31:47 | Read by Landon D. C. Elkind |

Infintie Series of Ordinals | 18:53 | Read by Landon D. C. Elkind |

Limits and Continuity | 23:30 | Read by Landon D. C. Elkind |

Limits and Continuity of Functions | 26:46 | Read by Landon D. C. Elkind |

Selections and the Multiplicative Axiom | 39:07 | Read by Landon D. C. Elkind |

The Axiom of Infinity and Logical Types | 33:29 | Read by Landon D. C. Elkind |

Incompatibility and the Theory of Deduction | 29:41 | Read by Landon D. C. Elkind |

Propositional Functions | 31:23 | Read by Landon D. C. Elkind |

Descriptions | 35:00 | Read by Landon D. C. Elkind |

Classes | 32:57 | Read by Landon D. C. Elkind |

Mathematics and Logic | 31:30 | Read by Landon D. C. Elkind |

## Reviews

#### null

Solid reading, found it a bit hard to follow along I am guessing it had to do with the material. It became an exercise in my attention and concentration to not allow myself to become distracted. I am sure this would be very interesting if Bertrand Russell was giving the lecture himself with a board to write out the examples, but it was difficult for me to follow along and visualize all of the various equations and figures even though they were quite elementary, probably because I wasn't sitting doing nothing, but rather doing things that required some of my attention.

### Great insite of mathematics

#### Michael Cutler

Makes you appreciate how important mathematics is and teaches you how to think logically