## Playing with Infinity: Mathematical Explorations and ExcursionsThis popular account of the many mathematical concepts relating to infinity is one of the best introductions to this subject and to the entire field of mathematics. Dividing her book into three parts ? The Sorcerer's Apprentice, The Creative Role of Form, and The Self-Critique of Pure Reason ? Peter develops her material in twenty-two chapters that sound almost too appealing to be true: playing with fingers, coloring the grey number series, we catch infinity again, the line is filled up, some workshop secrets, the building rocks, and so on. |

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### Contents

THE SORCERERS APPRENTICE | 1 |

The temperature charts of the operations | 6 |

The parcelling out of the infinite number series | 14 |

The Sorcerers Apprentice | 21 |

Variations on a fundamental theme | 29 |

We go through all possibilities | 42 |

Colouring the grey number series | 56 |

I have thought of a number | 66 |

The charts get smoothed out | 126 |

Mathematics is one | 140 |

Write it down elements | 160 |

Some workshop secrets | 177 |

Many small make a great | 196 |

THE SELFCRITIQUE OF PURE REASON | 211 |

The building rocks | 225 |

Form becomes independent | 233 |

THE CREATIVE ROLE OF FORM | 77 |

Limitless density | 88 |

We catch Infinity again | 99 |

The line is filled up | 112 |

Awaiting judgement by metamathematics | 243 |

What is Mathematics not capable of? | 255 |